Edinburgh Mathematical Society Lecturers 1883-2016

Below we list venues, authors of papers/talks, affiliations where known, and titles for meetings of the Edinburgh Mathematical Society from 1883, the year of the founding of the Society, to 2016.
Some of those listed were not present at the meeting and their paper was read by a member of the Society The Society's Minutes are not always clear on whether papers are read only by title or discussed. We have included many that will have only been read by title. Also the affiliations of the speaker may not always be correct. Since some who presented papers moved around frequently, it has been impossible to always verify the particular affiliation at the time of giving the lecture.


           Click on a year below to see the data from that year
                                 1883   1884   1885   1886   1887   1888   1889
1890   1891   1892   1893   1894   1895   1896   1897   1898   1899
1900   1901   1902   1903   1904   1905   1906   1907   1908   1909
1910   1911   1912   1913   1914   1915   1916   1917   1918   1919
1920   1921   1922   1923   1924   1925   1926   1927   1928   1929
1930   1931   1932   1933   1934   1935   1936   1937   1938   1939
1940   1941   1942   1943   1944   1945   1946   1947   1948   1949
1950   1951   1952   1953   1954   1955   1956   1957   1958   1959
1960   1961   1962   1963   1964   1965   1966   1967   1968   1969
1970   1971   1972   1973   1974   1975   1976   1977   1978   1979
1980   1981   1982   1983   1984   1985   1986   1987   1988   1989
1990   1991   1992   1993   1994   1995   1996   1997   1998   1999
2000   2001   2002   2003   2004   2005   2006   2007   2008   2009
2010   2011   2012   2013   2014   2015   2016   2017   2018   2019
2020  

-1883

    Edinburgh G Chrystal (Edinburgh) Present Fields of Mathematical Research
Edinburgh J S Mackay (The Academy, Edinburgh) The triangle and its six scribed circles
Edinburgh D Munn (High School, Edinburgh) The Nine-Point Circle
C G Knott (Edinburgh) An Account of Newton's 'Optics'
Edinburgh T Muir (Glasgow High School) New proof of Professor Tait's problem of Arrangement
T Muir (Glasgow High School) Short notes of interest to Teachers
A Y Fraser (George Watson's College, Edinburgh) The fundamental notions of the Differential Calculus
C G Knott (Edinburgh) Plücker's first equation connecting the singularities of curves
Edinburgh C G Knott (Edinburgh) Some notes on Quaternions
D Munn (High School, Edinburgh) Some theorems on radical axes

1883-84

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Edinburgh P G Tait (Edinburgh) Listing's 'Topologie'
Edinburgh J S Mackay (The Academy, Edinburgh) The circles associated with the triangle viewed from their centres of similitude
C G Knott (Edinburgh) The Rev G McArthur's construction for Euclid II 9, 10
Edinburgh G Chrystal (Edinburgh) Mathematical models, chiefly of surfaces of the second degree
Edinburgh T Muir (Glasgow High School) Note on a theorem connected with the area of a 2n-sided polygon
H H Browning (14 Newton Place, Glasgow) Illustrations of harmonic section
Edinburgh W J Macdonald (Daniel Stewart's College, Edinburgh) Pascal's 'Essais pour les coniques'
R E Allardice (Edinburgh) Spherical geometry
T Muir (Glasgow High School) Note on the condensation of a special continuant
Edinburgh A Macfarlane (Edinburgh) On voting
Edinburgh A C Brown (Edinburgh) The hypothesis of Le Bel and Van't Hoff
T Muir (Glasgow High School) A preliminary account of an overlooked treatise on determinants, published in 1825
Edinburgh W Peddie (Edinburgh) On the representation of the physical properties of substances by means of surfaces
D Traill (The Academy, Edinburgh) The theorems as far as proposition 32 of the first book of Euclid's Elements, proved from first principles
D Traill (The Academy, Edinburgh) Geometry from common sense
Edinburgh G Chrystal (Edinburgh) Application of the multiplication of matrices to prove a theorem in spherical geometry
G Chrystal (Edinburgh) On the discrimination of conics enveloped by the rays joining the corresponding points of two projective ranges
G Chrystal (Edinburgh) On a problem in partition of numbers

1884-85

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Edinburgh J S Mackay (The Academy, Edinburgh) The shoemaker's knife
Edinburgh P Alexander Failing cases of Fourier's double-integral theorem (read by Thomas Muir)
T Muir (Glasgow High School) Note on a function of two integral arguments
A Y Fraser (George Watson's College, Edinburgh) On the number of conditions determining geometrical figures
Edinburgh G Chrystal (Edinburgh) On the problem to construct the minimum circle enclosing n given points in a plane
T Muir (Glasgow High School) Note on the equation connecting the mutual distances of four points in a plane
J S Mackay (The Academy, Edinburgh) Geometrical notes
Edinburgh P G Tait (Edinburgh) Note on a plane strain
P Alexander Boole's and other proofs of Fourier's double-integral theorem (read by Thomas Muir)
Edinburgh G A Gibson (Glasgow) Gilbert's method of treating tangents to confocal conicoids
Edinburgh T B Sprague (Faculty of Actuaries) Note on the evaluation of functions of the form 000^{0}
J Alison (Edinburgh Academy) The so-called Simson-line
Edinburgh G Chrystal (Edinburgh) On certain formulae for repeated differentiation
G Chrystal (Edinburgh) On a method for obtaining the differential equation to an algebraical curve
T Muir (Glasgow High School) Note on the integration of xm(a+bxn)pdxx^{m}(a + b x^{n})^{p}dx
T Muir (Glasgow High School) Historical note on the so-called Simson line
J S Mackay (The Academy, Edinburgh) Mnemonics for π,1/π,e\pi, 1/\pi, e
Edinburgh P G Tait (Edinburgh) On the Detection of amphicheiral knots, with special reference to the mathematical processes involved
Edinburgh C Chree (King's College, Cambridge) On the form in polar co-ordinates of certain expressions occurring in elastic solids and in hydrodynamics
R J Dallas (Teacher, Aberdeen) Notes on the method of orthogonal projection
R E Allardice (Edinburgh) On a number of concurrent spheres
R E Allardice (Edinburgh) Proposition suggested by and a generalisation of the Simson Line

1885-86

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Edinburgh J S Mackay (The Academy, Edinburgh) The ancient methods for the duplication of the cube
W Harvey (Edinburgh undergraduate) Notes on Euclid I 47: the theorem of Pythagoras
Edinburgh P G Tait (Edinburgh) On certain integrals
P G Tait (Edinburgh) On integrals occurring in the kinetic theory of gases
W Peddie (Edinburgh) To transform a rectangle into a square
W Peddie (Edinburgh) The theory of contours and its applications in physical science
Edinburgh R E Allardice (Edinburgh) Solution of a problem proposed by Dr Muir on algebraical symmetry
A Y Fraser (George Watson's College, Edinburgh) Two mechanical integrators or planimeters
A Y Fraser (George Watson's College, Edinburgh) The quadrature of curves especially by means of planimeters
Edinburgh W Harvey (Edinburgh undergraduate) Kinematical theorems
T H Miller (Borough Road Training College) A proof of Lagrange's theorem
Edinburgh H Rainy (Edinburgh undergraduate) Bifilar suspension treated by the method of contour lines
J S Mackay (The Academy, Edinburgh) Abstract of one of Euler's papers
J S Mackay (The Academy, Edinburgh) Note on a paper or Euler's entitled 'Solutio facilis problematum quorumdam geometricorum difficillimorum'
Edinburgh J S Mackay (The Academy, Edinburgh) On the divisibility of certain numbers
J S Mackay (The Academy, Edinburgh) An arithmetical note
J Alison (Edinburgh Academy) Statical proofs of some geometrical theorems
Edinburgh H C E Childers (politician, Edinburgh South MP) Note on Euclid II 11, To divide a straight line in medial section
W Peddie (Edinburgh) The theory of contours and its applications in physical science: Second part
C Chree (King's College, Cambridge) Vortex rings in a compressible fluid
C Chree (King's College, Cambridge) On the vibrations of a spherical or cylindrical body surrounded by or containing fluid
Edinburgh A Robertson (St Andrew Square, Edinburgh) A problem in combinations
J Alison (Edinburgh Academy) Trigonometrical mnemonic
G A Gibson (Glasgow) Notes on integration by parts and by successive reduction

1886-87

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Edinburgh J S Mackay (The Academy, Edinburgh) Solutions of Euclid's Problems, with a rule and one fixed aperture of the compasses, by the Italian geometers of the sixteenth century
R Tucker (Brighton College) On the sine-triple-angle circle
W Renton On the equivocal sign
Edinburgh P Aubert (Collège Stanislas, Paris) Composition de Mathématiques élémentaires proposée au concours d'Agrégation de 1886
P Aubert (Collège Stanislas, Paris) Solution d'une question de géométrie
R E Allardice (Edinburgh) The equilateral and the equiangular polygon
Edinburgh G Chrystal (Edinburgh) On certain inverse roulette problems
Edinburgh W J Macdonald Proof of a geometrical theorem
C Chree (King's College, Cambridge) On vortices
J L Mackenzie A theorem in algebra
G A Gibson (Glasgow) On a definite integral
Edinburgh J S Mackay (The Academy, Edinburgh) Historical notes on a geometrical theorem and its developments (18th century): incenter, circumcenter, triangle
R E Allardice (Edinburgh) Geometrical notes: polygons, quadrilateral, harmonic conjugates
Edinburgh P G Tait (Edinburgh) On the value of ΔnOm/nm\Delta ^{n}O^{m}/n^{m} where m and n are very large
M D'Ocagne (Corps de Ponts et Chaussées, Cherbourg) Sur les cordes communes à une conique et à un cercle de rayon nul: application à la théorie géométrique des foyers dans les coniques
R J Dallas Note on the kinematics of a quadrilateral
R J Dallas A problem in linkages
Edinburgh A Y Fraser (George Watson's College, Edinburgh) An experiment in the teaching of Geometry
Edinburgh A Cayley (Cambridge) On a differential equation and the construction of Milner's lamp
P G Tait (Edinburgh) Note on Milner's lamp
P G Tait (Edinburgh) An exercise on logarithmic tables
W Harvey Geometrical proof of the tangency of the inscribed and nine-point circles

1887-88

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Edinburgh G Thom (Dollar Institution) Mathematics in Secondary Schools and Universities
Edinburgh R E Allardice (Edinburgh) A method of transformation in geometry
Edinburgh R E Allardice (Edinburgh) On Stirling's approximation to n! when n is large
A Y Fraser (George Watson's College, Edinburgh) A device for the analysis of intervals and chords in music
Edinburgh G Chrystal (Edinburgh) On the inequality mxm1(x1)<xm1<m(x1)mx^{m-1}(x-1) < x^{m}-1 < m(x-1) and its consequences
W Peddie (Edinburgh) A model of the thermodynamic surface which represents the state of water substance in terms of pressure, volume, and temperature
Edinburgh P Aubert (Collège Stanislas, Paris) Sur un systéme de cercles tangents à une circonférence et orthogonaux à une autre circonférence
P Aubert (Collège Stanislas, Paris) On the circle which is tangential to one circle and orthogonal to another
J Wilson (Edinburgh) The nine-point circle
Edinburgh G A Gibson (Glasgow) Extension of a theorem of Abel's in summation to integration
R E Allardice (Edinburgh) On the inscription of a triangle of given shape in a given triangle
J S Mackay (The Academy, Edinburgh) Pappus on the progressions
J S Mackay (The Academy, Edinburgh) Treatment of the progressions by the ancients as it had been preserved by Pappus
Edinburgh C Chree (King's College, Cambridge) Vortex rings in a compressible fluid
J S Mackay (The Academy, Edinburgh) Similitude and inversion
Edinburgh R E Allardice (Edinburgh) A construction for the Brocard points

1888-89

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Edinburgh P G Tait (Edinburgh) On the relations between systems of curves which, together, cut their plane into squares
J E A Steggall (University College, Dundee) The value of cos2π/17\cos 2\pi/17 expressed in quadratic radicals
G A Gibson (Glasgow) A short notice of the additions to the mathematical theory of heat since the transmission of Fourier's memoir of 1811 to the French Academy
Edinburgh D Munn (High School, Edinburgh) On the general equation of the second degree representing a pair of straight lines
N Fraser (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves
Edinburgh R E Allardice (Edinburgh) Note on a formula in Quaternions
J W Butters (George Heriot's School, Edinburgh) On the solution of the equation xp1=0x^{p}- 1 = 0, p being a prime number
Edinburgh C Niven (Aberdeen) On a proposition in statics
N Fraser (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves: Second part of four
J E A Steggall (University College, Dundee) Amsler's planimeter
Edinburgh W J Millar On the most economical speed to drive a steamer in relation to the cargo carried and coals consumed
N Fraser (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves: Third part of four
Edinburgh C Chree (Kew Observatory) On vortex motion in a rotating fluid
R E Allardice (Edinburgh) On the expression of a symmetric function in terms of the elementary symmetric functions
N Fraser (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves: Fourth part of four
Edinburgh J S Mackay (The Academy, Edinburgh) Solutions of two geometrical problems
Edinburgh P Aubert (Collège Stanislas, Paris) Sur une propriété projective des sections coniques
J E A Steggall (University College, Dundee) Note on the regular solids
J E A Steggall (University College, Dundee) A certain cubic connected with the triangle

1889-90

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Edinburgh G A Gibson (Glasgow) Green's and allied theorems: a historical sketch
Edinburgh J E A Steggall (University College, Dundee) A special case of the three-bar motion
R E Allardice (Edinburgh) On some theorems in the theory of numbers
R H Pinkerton (Glasgow) Note on normals to conics
Edinburgh P G Tait (Edinburgh) Note on a curious operational theorem
R E Allardice (Edinburgh) On a property of odd and even polygons
R E Allardice (Edinburgh) On some properties of the quadrilateral
Edinburgh W Thomson (Glasgow) On the moduluses of elasticity of an elastic solid according to Boscovich's theory
Edinburgh T B Sprague (Faculty of Actuaries) On the different possible non-linear arrangements of eight men on a chess-board
C Chree (Kew Observatory) On the equations of vortex motion, with special reference to the use of polar co-ordinates
R E Allardice (Edinburgh) On a problem in permutations
Edinburgh A C Elliot (Glasgow) On a hydromechanical theorem
A C Elliot (Glasgow) On Rankine's formula for earth pressure
Edinburgh J Dougall (Glasgow and West of Scotland Technical College, Glasgow) On a certain expression for a spherical harmonic, with some extensions
J A Morrison (Heriot-Watt College, Edinburgh) A method of teaching Electrostatics in school
Edinburgh A Cayley (Cambridge) Note on the orthomorphic transformation of a circle into itself
R E Allardice (Edinburgh) Note on Menelaus's theorem
J S Mackay (The Academy, Edinburgh) Historical notes on a geometrical problem and theorem: triangle, quadrilateral

1890-91

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Edinburgh J S Mackay (The Academy, Edinburgh) Some new properties of the triangle
W Peddie (Edinburgh) Proofs of some optical theorems
Edinburgh A J Pressland (Edinburgh Academy) The triangle and its escribed parabolas
R E Allardice (Edinburgh) Some geometrical theorems
R H Pinkerton (Glasgow) On the condition that the straight line lx+my+nz=0lx + my + nz = 0 should be a normal to the conic (a,b,c,f,g,h)(x,y,z)2=0(a, b, c, f, g, h)(x, y, z)^{2} = 0 the co-ordinates being trilinear
Edinburgh J McCowan (University College, Dundee) On the heating of conductors by electric currents, and the electric distribution in conductors so heated
J D H Dickson (Peterhouse College, Cambridge) The solution of the equation {(xa)(xb)}+{(xc)(xd)}=e√\{(x - a) (x - b)\} + √\{(x - c) (x - d) \} = e
Edinburgh T H Miller (Borough Road Training College) A problem in the theory of numbers
P Aubert (Collège Stanislas, Paris) Sur un lieu géomérique
P Aubert (Collège Stanislas, Paris) On a geometrical locus
A J Pressland (Edinburgh Academy) The triangle and its escribed parabolas
Edinburgh W Peddie (Edinburgh) On the use of dimensional equations in physics
A J Pressland (Edinburgh Academy) Some relations between the orthic and the median triangles
Edinburgh R E Allardice (Edinburgh) On some properties of a triangle of given shape inscribed in a given triangle
Edinburgh G A Gibson (Glasgow) The pedal line of a triangle and theorems connected with it
A H Anglin (Queen's College, Cork) On some applications of the pedal line of a triangle
Edinburgh J McCowan (University College, Dundee) On a representation of elliptic integrals by curvilinear arcs
T B Sprague (Faculty of Actuaries) On the transformation and classification of permutations
T H Miller (Borough Road Training College) On the numerical values of the roots of the equation cosx=x\cos x = x
J S Mackay (The Academy, Edinburgh) The Wallace line and the Wallace point
A J Pressland (Edinburgh Academy) Note on an equation of motion

1891-92

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Edinburgh R E Allardice (Edinburgh) The barycentric calculus of Möbius
Edinburgh J E A Steggall (University College, Dundee) Note on an approximate fractional expression for the expansion of (1+x)n(1 + x)^{n} to any odd number of terms
A J Pressland (Edinburgh Academy) On the history and degree of certain geometrical approximations, (Part 1 of 2)
Edinburgh J E A Steggall (University College, Dundee) On the smallest number of entries necessary in a table of logarithms to seven decimal spaces
R E Allardice (Edinburgh) On the contact property of the eleven-point conic
W Peddie (Edinburgh) Deduction of the thermodynamical relations
Edinburgh J E A Steggall (University College, Dundee) On lines of magnetic force
Edinburgh C Tweedie (Edinburgh) On the relation between the stereographic projections of points of a plane related to one another by inversion
C G Knott (Edinburgh) Experimental introduction to the study of magnetism
Edinburgh A J Pressland (Edinburgh Academy) On the history and degree of certain geometrical approximations, (Part 2 of 2)
R E Allardice (Edinburgh) On a surface of the third order
Edinburgh J McCowan (University College, Dundee) On the solution of non-linear partial differential equations of the second order
R E Anderson On triads of circles connected with the triangle
Edinburgh G A Gibson (Glasgow) Integrals of the form log{(xacost)2+(ybsint)2}cos(orsin)mtdt(\int \log \{(x - a \cos t)^{2}+ (y - b \sin t)^{2}\} \cos(or \sin) mt dt (integrated from 0 to 2π) and allied integrals
J S Mackay (The Academy, Edinburgh) Matthew Stewart's theorem
J E A Steggall (University College, Dundee) On a property of a quadrilateral

1892-93

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Edinburgh J McCowan (University College, Dundee) Note on the solution of partial differential equations by the method of reciprocation
Edinburgh A H Anglin (Queen's College, Cork) On certain results involving areal and trilinear co-ordinates
J S Mackay (The Academy, Edinburgh) History of the nine-point circle
R Tucker (Brighton College) Geometrical notes: circle, triangle
C Tweedie (Edinburgh) Note of Newton's theorem of symmetric functions
Edinburgh C G Knott (Edinburgh) The Quaternion and its depreciators: Recent quaternion heresies
A J Pressland (Edinburgh Academy) On some loci connected with conics
Edinburgh P G Tait (Edinburgh) Note on attraction
W Peddie (Edinburgh) On the fundamental principles of Quaternions with other vector analyses
J E A Steggall (University College, Dundee) On a geometrical problem
Edinburgh J S Mackay (The Academy, Edinburgh) Early history of the symmedian point
J S Mackay (The Academy, Edinburgh) Adams's hexagons and circles
W Peddie (Edinburgh) The elements of Quaternions, (Part 1 of 2)
Edinburgh C Chree (Kew Observatory) Action at a distance and the transmission of stress by isotropic elastic solid media
W Peddie (Edinburgh) The elements of Quaternions, (Part 2 of 2)
A J Pressland (Edinburgh Academy) Note on a problem in analytical geometry: triangles, parallelograms, diagonals
Edinburgh G A Gibson (Glasgow) On the history of the Fourier series
Edinburgh C G Knott (Edinburgh) Japanese arithmetic

1893-94

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Edinburgh J S Mackay (The Academy, Edinburgh) The geometrography of Euclid's problems
R Tucker (Brighton College) Two circular notes
W Peddie (Edinburgh) An arithmetical problem
Edinburgh J E A Steggall (University College, Dundee) Note on the number of numbers less than a given number and prime to it: Note on an Elementary Proposition in the Theory of Numbers
J E A Steggall (University College, Dundee) Geographical models
J McCowan (University College, Dundee) On ridge lines and lines connected with them
Edinburgh G Duthie (The Academy, Edinburgh) On certain maxima and minima
J W Butters (George Heriot's School, Edinburgh) Notes on factoring
Edinburgh T B Sprague (Faculty of Actuaries) On the geometrical interpretation of ii
G A Gibson (Glasgow) A proof of the uniform convergence of the Fourier series, with notes on the differentiation of the series
R Tucker (Brighton College) Geometrical notes
Edinburgh P Aubert (Collège Stanislas, Paris) Tangential Coordinates
R Tucker (Brighton College) Two triplets of circum-hyperbolas
Edinburgh W Wallace (Higher Grade School, Leeds) Note on a third mode of section of the straight line
R Tucker (Brighton College) Three parabolas connected with a plane triangle
J E A Steggall (University College, Dundee) The pedal triangle
J S Mackay (The Academy, Edinburgh) Formulae connected with the radii of the incircle and the excircles of a triangle
Edinburgh A C Brown (Edinburgh) On the division of a parallelepiped into tetrahedra without making new corners
F H Jackson (School House, Cowbridge) On two differential equations
Edinburgh J McCowan (University College, Dundee) On the highest wave of permanent type
G E Crawford (Clifton, Bristol) On a problem on tangency: intersecting chords of a circle, inscribed circle
C Tweedie (Edinburgh) On the solution of the Cubic and Quartic
R F Muirhead (Glasgow) E Carpenter's proof of Taylor's theorem
R Tucker (Brighton College) Notes on an orthocentric triangle

1894-95

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Edinburgh E Lemoine (Grenoble ) Étude sur le triangle, et sur certains points de Géométrographie
J McCowan (University College, Dundee) On the solitary permanent wave: a continuation
R F Davis (Amateur mathematician) The nine-point circle
R F Davis (Amateur mathematician) The Brocard points and the Brocard angle
Edinburgh G E Crawford (Clifton, Bristol ) Geometrical problem
R Tucker (Brighton College) Parabolic note: co-normal points
W Peddie (Edinburgh) Colour-sensation and colour-blindness with experiments
Edinburgh J S Mackay (The Academy, Edinburgh) Properties connected with the angular bisectors of a triangle: Some new circles connected with the triangle
R F Davis (Amateur mathematician) Properties connected with the angular bisectors of a triangle
R F Muirhead (Glasgow) Note on triangle transformations
Edinburgh F H Jackson (School House, Cowbridge) Theorems in the products of related quantities, (Part 1 of 2)
R H Pinkerton (University College, Cardiff) On the conditions that a given straight line may be a normal to the quadric surface (a,b,c,d,f,g,h,u,v,w)(x,y,z,l)2=0(a, b, c, d, f, g, h, u, v, w)(x, y, z, l)^{2}= 0
R F Muirhead (Glasgow) Note on triangle transformations
J Jack (Wilson College, Bombay) Examples of a method of developing logarithms and the trigonometrical functions without the Calculus, by means of their addition formulae and indeterminate coefficients
Edinburgh C Tweedie (Edinburgh) Some formulae in connection with the parabolic section of the canonical quadric
R F Muirhead (Glasgow) Some suggestions in mathematical terminology
W J Macdonald (Daniel Stewart's College, Edinburgh) A suggestion for the improvement of mathematical tables
G Duthie (The Academy, Edinburgh) Proposal with regard to British tables of linear and square measure: On a necessary reform in arithmetic
Edinburgh J McCowan (University College, Dundee) On the operation of division
C Bioche On Equilateral Gauche Cubics
R E Anderson Isoperimetric 2mn2^{m}n-gons applied to finding 1/π1/\pi concisely by a new construction: On the ratio of the circumference of a circle to its diameter
L Crawford (Mason College, Birmingham) On the use of the hyperbolic sine and cosine in connection with the hyperbola
Edinburgh R F Muirhead (Glasgow) Proof of a theorem in conics
F H Jackson (School House, Cowbridge) Theorems in the products of related quantities, (Part 2 of 2)
J S Mackay (The Academy, Edinburgh) Isogonals of a triangle
Edinburgh G Chrystal (Edinburgh) A Summary of the theory of a coaxial system of lenses for small apertures, according to Möbius and Gauss, with applications to a photographic triplet
R F Davis (Amateur mathematician) On a Diophantine equation

1895-96

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Edinburgh A Morgan (Church of Scotland Training College, Edinburgh) Address on celestial photography
Edinburgh P G Tait (Edinburgh) Note on the circles of curvature of a plane curve
G A Gibson (Glasgow) A reduction formula for indefinite integrals
G A Gibson (Glasgow) Some properties of parabolic curves
J Jack (Wilson College, Bombay) On the development of the elliptic functions by means of their addition theorems
Edinburgh J S Mackay (The Academy, Edinburgh) Symmedians of a triangle and their concomitant circles
F H Jackson (School House, Cowbridge) A certain linear differential equation
R F Muirhead (Glasgow) On superposition by the aid of dissection
Edinburgh J E A Steggall (University College, Dundee) Note on a certain harmonical progression
J E A Steggall (University College, Dundee) Note on continued fractions
A Martin A simple method of finding any number of square numbers whose sum is a square
Edinburgh J D Höppner Note on four-dimensional figures
Edinburgh J E A Steggall (University College, Dundee) Note on the formula for tan(A+B)\tan(A+B)
J E A Steggall (University College, Dundee) On the pedal lines of polygons
R F Muirhead (Glasgow) On deducing the properties of the trigonometrical functions from their addition equations
R F Muirhead (Glasgow) On the number and nature of the solutions of the Apollonian contact problem
Edinburgh G A Gibson (Glasgow) Review (with special reference to the Rise of the Infinitesimal Calculus and the Newton-Leibnitz controversy) of Cantor's 'Vorlesungen über Geschichte der Mathematik, Dritter Band'

1896-97

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Edinburgh R E Anderson Extension of the 'medial section' problem, and derivation of a hyperbolic graph
Edinburgh A H Anglin (Queen's College, Cork) Theorems on normals of an ellipse
A H Anglin (Queen's College, Cork) On the geometrical investigation of the circular functions of 3θ3\theta and 5θ5\theta
R V Aiyar (Trichinopoly, India) A general theorem on the nine-points circle
A Morgan (Church of Scotland Training College, Edinburgh) On the geometrical representation of elliptic integrals of the first kind, (Part 1 of 2)
Edinburgh A Morgan (Church of Scotland Training College, Edinburgh) On the geometrical representation of elliptic integrals of the first kind, (Part 2 of 2)
H S Carslaw (Glasgow) The steady motion of a spherical vortex
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Proof of the theorem that the middle points of the three diagonals of a complete quadrilateral are collinear
Edinburgh J B Clark (George Heriot's School, Edinburgh) On a proof of the fundamental combination theorem
J Alison (Edinburgh Academy) Maximum and minimum
J W Butters (George Heriot's School, Edinburgh) A geometrical proof of certain trigonometrical formulae (the addition theorem, etc )
Edinburgh F H Jackson School House, Cowbridge) Certain expansions of xn in hypergeometric series
J Jack (Wilson College, Bombay) The factorisation of 12xncosα+x2n1 - 2 x^{n}\cos \alpha + x^{2n}
Edinburgh R F Muirhead (Glasgow) A geometrical theorem with application to the proof of the collinearity of the mid-points of the diagonals of the complete quadrilateral
R Tucker (Brighton College) Geometrical note
Edinburgh R F Muirhead (Glasgow) On a method of studying displacement
J S Mackay (The Academy, Edinburgh) Isogonic centres of a triangle

1897-98

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Edinburgh G A Gibson (Glasgow) The treatment of arithmetic progressions by Archimedes
M E Lémeray Le quatrième algorithme naturel
Edinburgh J Dougall (Glasgow and West of Scotland Technical College, Glasgow) A general method of solving the equation of elasticity
J Jack (Wilson College, Bombay) Trigonometrical notes
H S Carslaw (Glasgow) Note on the transformations of the equations of hydrodynamics
Edinburgh L Crawford (Mason College, Birmingham) The trisection of a given angle
G E Crawford (Clifton, Bristol) The centre of gravity of a circular arc
Edinburgh R Guimaraes (Portugese military) On a geometrical problem
G A Gibson (Glasgow and Daniel Stewart's College, Edinburgh) Discussion on Euclid's definition of Proportion: Proposal that in the teaching of elementary geometry, Euclid's definition of proportion be abandoned
Edinburgh P H Schoute (Groningen) Extension of the notion of wave-surface to space of n dimensions
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Note on the centre of gravity of a circular arc
Edinburgh L Crawford (Mason College, Birmingham) On the second solutions of Lamé's equation
H Mitchell (Dundee) The singular solutions of a certain differential equation of the second order
Edinburgh R F Muirhead (Glasgow) Permutations: alternative proofs of elementary formulae
R F Muirhead (Glasgow) On the transformation-sequence
J W Butters (George Heriot's School, Edinburgh) Elementary notes: 1) On the factorisation of a function of n variables, and 2) On the use of the term 'produced'

1898-99

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Edinburgh J A Third (Aberdeen) Systems of circles analogous to Tucker circles, (Part 1 of 3)
W L Thomson (George Heriot's School, Edinburgh) Geometrical theory of the hyperbolic functions
Edinburgh J A Third (Aberdeen) Systems of circles analogous to Tucker circles, (Part 2 of 3)
G A Gibson (Glasgow) 'Vorlesungen über Geschichte der Mathematik', von Moritz Cantor A review: with special reference to the Analyst controversy
Edinburgh C Tweedie (Edinburgh) Elementary notes: inequality theorem, exponential limit
R F Muirhead (Glasgow) Against Euler's proof of the binomial theorem for negative and fractional exponents
R F Muirhead (Glasgow) Note on continued fractions
R F Muirhead (Glasgow) A proof of the binomial theorem when the exponent is a positive integer
Edinburgh T B Sprague (Faculty of Actuaries) On the eight-queens' problem
Edinburgh P G Tait (Edinburgh) Note on attraction
Edinburgh G A Gibson (Glasgow) A discussion on the treatment of proportion in elementary mathematics
Edinburgh J A Third (Aberdeen) Systems of circles analogous to Tucker circles, (Part 3 of 3)
J A Third (Aberdeen) Systems of conics connected with the triangle
J A Third (Aberdeen) Systems of spheres connected with the tetrahedron

1899-00

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Edinburgh G E Crawford (Clifton, Bristol) Elementary proof that the arithmetic mean of any number of positive quantities is greater than the geometric mean
R F Muirhead (Glasgow) The dissection of any two triangles into mutually similar pairs of triangles
J A Third (Aberdeen) Two geometrical transformations
Edinburgh L Crawford (Mason College, Birmingham) On the evaluation of a certain determinant
A D Russell (High School, Falkirk) A special case of the dissection of any two triangles into mutually similar pairs of triangles
W Peddie (Edinburgh) Elementary proof of the potential theorems regarding uniform spherical shells
Edinburgh W Peddie (Edinburgh) On the dissipation of energy in vibrating matter
Edinburgh R F Muirhead (Glasgow) Remark on Dr Peddie's proof of the potential theorems regarding uniform spherical shells
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) On Bessel functions and spherical harmonics
Glasgow J Dougall (Glasgow and West of Scotland Technical College, Glasgow) The determination of Green's function by means of cylindrical or spherical harmonics
Edinburgh G A Gibson (Glasgow) Note on the fundamental inequality theorems connected with ex and xm
É Collignon (Ponts et chaussées) Note sur un problème de Géométrie
Edinburgh W E Philip (H M I S , Aberdeen) A general proof of the addition theorems in Trigonometry
W E Philip (H M I S , Aberdeen) A slight extension of Euler's theorem on homogeneous functions
G A Gibson (Glasgow) Note on proofs by projection in Trigonometry and Coordinate Geometry
C A Laisant (École Polytechnique) Problème de la section de raison

1900-01

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Edinburgh R F Davis (Amateur mathematician) Euclidean proof of Pascal's theorem
C Tweedie (Edinburgh) Note on the expression for the area of a triangle in Cartesian co-ordinates, and a general proof of the addition theorem in Trigonometry connected therewith
J Jack (Wilson College, Bombay) Alternative proof of a theorem in change of axes
Edinburgh R E Allardice (Edinburgh) Note on four circles touching a common circle
J A Third (Aberdeen) Triangles triply in perspective
Edinburgh R E Allardice (Edinburgh) On the nine-point conic
D B Mair The nth root of a prime number cannot be the root of an equation of degree less than n with rational coefficients
Edinburgh W Peddie (Edinburgh) Note on the cooling of a sphere in a mass of well-stirred liquid
R F Muirhead (Glasgow) Inequalities relating to some algebraic means
Edinburgh G Chrystal (Edinburgh) Some elementary theorems regarding surds
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Note on the application of complex integration to the equation of conduction of heat, with special reference to Dr Peddie's problem
Glasgow L Crawford (Mason College, Birmingham) The general equation of a geodesic on a surface of revolution applied to the sphere
R E Allardice (Edinburgh) On a cubic curve connected with the triangle
R F Davis (Amateur mathematician) A note on the focal relations of a bicircular quartic
H S Carslaw (Glasgow) On the summation of a certain series
Edinburgh G A Gibson (Glasgow) An extension of Abel's theorem on the continuity of a power series
H S Carslaw (Glasgow) Oblique incidence of a train of plane waves on a semi-infinite plane

1901-02

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Edinburgh G A Gibson (Glasgow) The second integral theorem of mean value: a geometrical proof
A G Burgess (Ladies' College, Edinburgh) Theorems in connection with lines drawn through a pair of points parallel and antiparallel to the sides of a triangle
J N Miller On an instrument for trisecting any angle
Edinburgh R F Muirhead (Glasgow) Note on the theory of the rolling of one rigid surface on another
L Crawford (Mason College, Birmingham) A proof of Rodrigues' theorem and some expansions derived from it
H F Blichfeldt (Stanford, USA) Demonstrations of a pair of theorems in geometry
J S Mackay (The Academy, Edinburgh) History of a theorem in elementary geometry: the isosceles triangle
Edinburgh H S Carslaw (Glasgow) Note on the use of Fourier's series in the problem of the transverse vibrations of strings
H S Carslaw (Glasgow) On a theorem in inequalities
L Crawford (Mason College, Birmingham) Note on a property of circulating decimals with an even number of repeating figures equivalent to a vulgar fraction with a prime number as denominator
Edinburgh H S Carslaw (Glasgow) A discussion on the teaching of elementary mathematics
GlasgowDiscussion on the improvements in the teaching of elementary mathematics
Edinburgh J S Mackay (The Academy, Edinburgh) Note on the theorems of Menelaus and Ceva
J W Butters (George Heriot's School, Edinburgh) Notes on decimal coinage and approximation
R E Allardice (Edinburgh) On some systems of conics connected with the triangle
T Muir (Glasgow High School) The applicability of the law of extensible minors to determinants of special form
Edinburgh R F Muirhead (Glasgow) Notes on the theorems of Menelaus and Ceva
R F Muirhead (Glasgow) Constructions connected with Euclid VI 3 and VI A, and the circle of Apollonius
C Tweedie (Edinburgh) Anallagmatic curves, part 1: equations and inversions
W Peddie (Edinburgh) A construction for the force, at any point, due to electric point-charges or ideal magnets, with an extension to continuous distributions

1902-03

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Edinburgh H S Carslaw (Glasgow) The use of Green's functions in the mathematical theory of the conduction of heat
F H Jackson (School House, Cowbridge) On a generalization of Bessel's equation
Edinburgh W Peddie (Edinburgh) On the uniqueness of solution of the linear differential equation of the second order
R F Davis (Amateur mathematician) Note on two intrinsically related plane curves
J S Mackay (The Academy, Edinburgh) Mathematical correspondence: Robert Simson, Matthew Stewart, James Stirling
Edinburgh J H Smith (deceased, former Gonville and Caius College, Cambridge) and Dickson, J D H (Peterhouse College, Cambridge) On the decimalization of English money, and some simplifications in long division
J W Butters (George Heriot's School, Edinburgh) On the decimalization of money
A G Burgess (Ladies' College, Edinburgh) Note on the antireciprocal points
T B Sprague (Faculty of Actuaries) On the singular points of plane curves
Edinburgh J A Third (Aberdeen) Triangles in multiple perspective, viewed in connection with determinants of the third order
J Taylor (The Academy, Edinburgh) Note on mental division by large numbers
H Poole A mechanical construction for the quartic trisectrix
Glasgow T H Miller (Borough Road Training College) On the imaginary roots of the equation cosx=x\cos x = x
R F Muirhead (Glasgow) Some methods applicable to identities and inequalities of symmetric algebraic functions of n letters
R F Davis (Amateur mathematician) On the equation to a conic circumscribing a triangle
R F Muirhead (Glasgow) Construction connected with the locus of a point at which two segments of a straight line subtend equal angles
F H Jackson (School House, Cowbridge) Generalised forms of the series of Bessel and Legendre
Edinburgh A Holm (Girls' High School, Glasgow) On the convergents to a recurring continued fraction
R F Davis (Amateur mathematician) Elementary proof that the mid-points of the three diagonals of any quadrilateral are collinear
Edinburgh W A Lindsay (Free Church Training College, Glasgow) A discussion on 'the co-ordination of the teaching of practical and theoretical geometry'

1903-04

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Edinburgh É Collignon (Ponts et chaussées) Remarques sur l'intégration des fonctions αncosαdα,αnsinαdα\alpha^{n}\cos \alpha d\alpha, \alpha^{n}\sin \alpha d\alpha
G A Gibson (Glasgow) Note on M Collignon's paper on the integration of αncosαdαandαnsinαdα\alpha^{n}\cos \alpha d\alpha and \alpha^{n}\sin \alpha d\alpha
W L Thomson (George Heriot's School, Edinburgh) A note on a theorem in double series
Edinburgh F H Jackson (School House, Cowbridge) On some algebraic identities
F H Jackson (School House, Cowbridge) On a form of Maclaurin's theorem
R F Davis (Amateur mathematician) On the quadrilateral circuminscribed to two circles
Edinburgh C Tweedie (Edinburgh) Inequality theorem regarding the lines joining corresponding vertices of two equilateral, or directly similar, triangles, (Part 1 of 2)
D K Picken (Victoria College, Wellington, New Zealand) On the fractional infinite series for cosecx,secx,cotx\\co\sec x, \sec x, \cot x and tanx\tan x
D K Picken (Victoria College, Wellington, New Zealand) Note on the method of finding the particular integral of the differential equation f(D)y=f (D) y = akxka_{k}x^{k}
Edinburgh C Tweedie (Edinburgh) Inequality theorem regarding the lines joining corresponding vertices of two equilateral, or directly similar, triangles, (Part 2 of 2)
F H Jackson (School House, Cowbridge) A basic-sine and cosine, with symbolical solutions of certain differential equations
Glasgow J W Butters (George Heriot's School, Edinburgh) On the use of symmetry in geometry
A Holm (Girls' High School, Glasgow) Some points in Diophantine analysis
J H M Wedderburn (Leipzig) Note on the linear matrix equation
Edinburgh G A Gibson (Glasgow) Note on the treatment of tangents in recent text-books of elementary geometry
R F Muirhead (Glasgow) Minimum deviation through a prism
R F Muirhead (Glasgow) On the use of the term power in geometry, and on the treatment of the 'doubtful sign'
R F Muirhead (Glasgow) Solution of a geometrical problem
F H Jackson (School House, Cowbridge) Certain series of generalised Bessel-functions
Edinburgh P Pinkerton (George Watson's College, Edinburgh) The turning of values of a cubic and the nature of the roots of a cubic equation
C Tweedie (Edinburgh) Note on Newton's theorem of symmetric functions
P Pinkerton (George Watson's College, Edinburgh) Note on the problem: To draw through a given point a transversal to (a) a given triangle (b) a given quadrilateral so that the intercepted segments may have (a) a given ratio (b) a given cross ratio

1904-05

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Edinburgh É Collignon (Ponts et chaussées) Recherches sur l'enveloppe des pédales des divers point d'une circonférence par rapport á un triangle inscrit
T Muir (Glasgow High School) The condensation of continuants
Edinburgh P Pinkerton (George Watson's College, Edinburgh) The turning values of cubic and quartic functions and the nature of the roots of cubic and quartic equations
D K Picken (Victoria College, Wellington, New Zealand) The proof by projection of the addition theorem in trigonometry
É Collignon (Ponts et chaussées) Two geometrical notes: Démonstration de deux théorèmes de géométrie
Edinburgh W A Lindsay (Free Church Training College, Glasgow) A proof of the theorem that the arithmetic mean of n positive quantities is not less than their harmonic mean
G D Valentine (Advocate, Edinburgh) Two theorems on the factors of 2p12^{p}- 1
E B Ross (Christian College, Madras, India) Contact between a curve and its envelope
Edinburgh J N Miller A method of dividing the circumference of a circle into 360 equal parts
T J l'A Bromwich (Cambridge) The ambiguous cases in the solution of spherical triangles
D G Taylor (Cardiff) Polar loci
Glasgow A G Burgess (Ladies' College, Edinburgh) On the orthoptic locus of the semi-cubical parabola
A Holm (Girls' High School, Glasgow) Determination of the radii of the circles which touch three given circles
R F Muirhead (Glasgow) Some proofs of Newton's theorem on sums of powers of roots
R F Muirhead (Glasgow) A proof of Waring's expression for Σαr\Sigma \alpha^{r} in terms of the coefficients of an equation
Edinburgh J S Mackay (The Academy, Edinburgh) Bibliography of the envelope of the Wallace line: the three-cusped hypocycloid
R V Aiyar (Trichinopoly, India) Notes on inequalities
J H A McIntyre On mathematical instruments and the accuracy to be obtained with them in some elementary practical problems
Edinburgh D K Picken (Victoria College, Wellington, New Zealand) A direct method of obtaining the foci and directrices from the general equation of the second degree
R F Davis (Amateur mathematician) Note on the determination of the axes of a conic
A Brown (South African College, Cape Town) The ratio of incommensurables in elementary geometries

1905-06

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Edinburgh D M Y Sommerville (St Andrews) On the number of independent conditions involved in the vanishing of a rectangular array
F H Jackson (School House, Cowbridge) Certain series of basic Bessel co-efficients
J A McBride (Allan Glen's School, Glasgow) A trigonometric dial: a teaching appliance
Edinburgh C Tweedie (Edinburgh) A problem of Lewis Carroll's, and the rational solutions of a Diophantine cubic
É Collignon (Ponts et chaussées) Solution of the cubic equation
J Turner (Royal High School, Edinburgh) On the teaching of geometry
Edinburgh D K Picken (Victoria College, Wellington, New Zealand) On the reduction of (Lx+M)/[(Ax2+2Bx+C)m(ax2+2bx+c)]dx\int (Lx + M)/[(Ax^{2}+ 2Bx + C)^{m}√(ax^{2}+ 2bx + c)] dx
G E Crawford (Clifton, Bristol) The determination of the centre of gravity of a circular arc by reference to a principal of dynamics
P Pinkerton (George Watson's College, Edinburgh) On a nine-point conic
P Pinkerton (George Watson's College, Edinburgh) The parabolic path of a projectile
Edinburgh J Jack (Wilson College, Bombay) On the Pascal hexagram
J H M Wedderburn (Edinburgh) On Newton's theorem in the calculus of variations
W G Fraser (School Teacher, Stirling) On the relations of certain conics to a triangle
Glasgow W Peddie (Edinburgh) The conditions for the reality of the roots of an n-ic
R F Muirhead (Glasgow) Proofs of an inequality
J Miller (West of Scotland Technical College, Glasgow) Note on tortuous curves
L Arneil (Provincial Training College, Glasgow) On a simple theodolite suitable for use in schools
Edinburgh J Jack (Wilson College, Bombay) A proof that the middle points of parallel chords of a conic lie on a fixed straight line
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Notes on the Apollonian problem and the allied theory
Edinburgh J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Quantitative proofs of certain algebraical inequalities
E B Ross (Christian College, Madras, India) A symbolical method in geometrical optics
A G Burgess (Ladies' College, Edinburgh) Theorems connected with Simson's line

1906-07

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Edinburgh J H M Wedderburn (Edinburgh) Note on hypercomplex numbers
É Collignon (Ponts et chaussées) Various questions relative to the triangle
Edinburgh G A Gibson (Glasgow) De la Vallée Poussin's extension of Poisson's integral
R F Davis (Amateur mathematician) A problem in conics
P Pinkerton (George Watson's College, Edinburgh) Points at infinity, etc , in a plane
Edinburgh J Miller (West of Scotland Technical College, Glasgow) On the cartesian co-ordinates of classes of tortuous curves
R V Aiyar (Trichinopoly, India) On the arithmetic and geometric means inequality
W Finlayson (lived in Edinburgh) Coaxial circles and conics
Edinburgh D K Picken (Victoria College, Wellington, New Zealand) Note on the envelope-investigation
R V Aiyar (Trichinopoly, India) On the 'e' inequality
D C McIntosh (Ladies' College, Edinburgh) On the teaching to beginners of such transformations as (a)=+a-(-a) = +a
Glasgow J H M Wedderburn (Edinburgh) On commutative matrices
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) On Vandermonde's theorem and some more general expansions
P Pinkerton (George Watson's College, Edinburgh) On area-theory and some applications
Edinburgh D M Y Sommerville (St Andrews) On certain projective configurations in space of n dimensions, and a related problem in arrangements
C M K Leggett (lived in London) On a problem in rigid dynamics
É Collignon (Ponts et chaussées) Pythagoras's theorem
Edinburgh J S Mackay (The Academy, Edinburgh) Herbert Spencer and mathematics
R F Muirhead (Glasgow) Elementary methods for calculating first and second moments of simple configurations
R F Davis (Amateur mathematician) On arithmetical approximations

1907-08

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Edinburgh J Jack (Wilson College, Bombay) Poles and polars of a conic
É Collignon (Ponts et chaussées) Problem in plane geometry
R F Davis (Amateur mathematician) A first evaluation of π
Edinburgh A G Greenhill (Royal Military Academy, Woolwich) The dygogram of axle reaction of a pendulum
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Notes on Spherical Harmonics
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Notes on the Apollonian problem and the allied theory
Edinburgh A H Anglin (Queen's College, Cork) On the lengths of a pair of tangents to a conic
A C Dixon (Queen's College, Belfast) On the lines which intersect three given lines in space
A C Dixon (Queen's College, Belfast) Proof that every rational algebraic equation has a root
W Finlayson (lived in Edinburgh) Theorem regarding orthogonal conics
Edinburgh C McLeod (Grammar School, Aberdeen) A discussion on 'The place of graphs in a course of mathematics'
Glasgow J Miller (West of Scotland Technical College, Glasgow) On the geometry of the conic and the triangle
R F Muirhead (Glasgow) To express a determinant of the nth order in terms of compound determinants of the second order, and vice versa
R F Muirhead (Glasgow) A graphic method of solving n simultaneous linear equations involving n unknowns
J A McBride (Allan Glen's School, Glasgow) School apparatus for determining g
Edinburgh C Tweedie (Edinburgh) Examples in the geometry of cross ratios
M T Naraniengar (Central College, Bangalore) The intrinsic properties of curves
J G Thomson (lived in Edinburgh) Geometrical extraction of cube root
Edinburgh M T Naraniengar (Central College, Bangalore) On contact of curves
K J Sanjana (Bhaonagar, Bombay) On factors of numbers of the form {x2n+1k±1}/{xk±1}\{x^{2n+1}k ± 1\} /\{x^{k}± 1\}
T H Miller (Training College, Isleworth) A problem in the theory of numbers

1908-09

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Edinburgh W Finlayson (lived in Edinburgh) A certain relation between coaxial circles and conics
A G Greenhill (Royal Military Academy, Woolwich) The revolving chain
Edinburgh J H M Wedderburn (Edinburgh) On certain theorems in determinants
É Collignon (Ponts et chaussées) Problem in plane geometry
Edinburgh J Dougall (Glasgow and West of Scotland Technical College, Glasgow) On the Tucker circles of a spherical triangle
W Miller (lived in Glasgow) A simple theodolite: A teaching appliance
T Muir (Glasgow High School) Waring's expression for a symmetric function in terms of like powers
Edinburgh R E Allardice (Edinburgh) On the locus of a foci of a system of similar conics through three points
J Miller (West of Scotland Technical College, Glasgow) Note on the geometry of the triangle
Glasgow F E Edwardes (Harrow School) On the stationary eccentricity of a system of conics through four given points
A Holm (Girls' High School, Glasgow) Theorems on the summation of series
H F Thompson (The Academy, Edinburgh) A geometrical proof of a theorem connected with the tetrahedron
Edinburgh A C Brown (Edinburgh) Polygons and polyhedra of higher species: Relation between the distances of a point from three vertices of a regular polygon
Edinburgh A Brown (South African College, Cape Town) The relation between the distances of a point from three vertices of a regular polygon
J G Thomson (lived in Edinburgh) Geometrical construction for the approximate evaluation of π/4\pi/4

1909-10

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Edinburgh R F Muirhead (Glasgow) On Wilkinson's method of treating the nine-points circle, with generalizations
R F Muirhead (Glasgow) The anharmonic ratios of four points in a straight line
F E Edwardes (Harrow School) On the stationary eccentricity of a system of four-tangent conics
Edinburgh G D C Stokes (Glasgow) On the integration of the canonic equations and the principle of duality
H S Carslaw (Sydney, Australia) Gauss's theorem on the regular polygons which can be constructed by Euclid's method
M T Naraniengar (Central College, Bangalore) Notes on the three-cusped hypocycloid
Edinburgh K J Sanjana (Bhaonagar, Bombay) On series for calculating Euler's constant and the constant in Stirling's theorem
D M Y Sommerville (St Andrews) A problem in voting
D M Y Sommerville (St Andrews) Classification of geometries with projective metric
Edinburgh M T Naraniengar (Central College, Bangalore) The locus of points at which two sides of a given triangle subtend equal or supplementary angles
J I Craig (Survey Department, Cairo, Egypt) Orthogonal trajectories in vectorial co-ordinates
Glasgow R C Archibald (Brown University, Providence, Rhode Island, USA) Historical note on Wallace's line
H S Carslaw (Sydney, Australia) The Bolyai-Lobatschewsky non-Euclidean geometry: an elementary interpretation of this geometry and some results which follow from this interpretation
R J T Bell (Glasgow) The locus of the straight lines which intersect three given lines
R J T Bell (Glasgow) The factors of (abcfgh)(xyz)2λ(x2+y2+z2)(abcfgh)(xyz)^{2}- \lambda(x^{2}+ y^{2}+ z^{2})
Edinburgh G E Crawford (Clifton, Bristol) Properties of quadrilaterals and five-point space figures
D M Y Sommerville (St Andrews) Note on the geometries in which straight lines are represented by circles
Edinburgh R C Archibald (Brown University, Providence, Rhode Island, USA) Discussion and history of certain geometrical problems of Heraclitus and Apollonius
C (Grammar School, Aberdeen) and McLeodMilne, W P (Clifton College, Bristol) Triangles triply in perspective

1910-11

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Edinburgh J G Thomson (lived in Edinburgh) The relation between the golden section of the radius and the quinquesection of the circle
A J Pressland (The Academy, Edinburgh) The recent reform of teaching of mathematics and science in Germany
Edinburgh W P Milne (Clifton College, Bristol) A property of the harmonic triangle of the complete quadrangle formed by the four points of contact of the four tangents to the cubic curve from a point on it
G D Valentine (Advocate, Edinburgh) A root of the cubic equation expressed as a continued fraction
G D Valentine (Advocate, Edinburgh) A method of investigating the geometry of families of curves, with examples
Edinburgh R E Allardice (Edinburgh) On the envelope of the directrices of a system of similar conics through three points
A C Dixon (Queen's College, Belfast) Approximation by means of convergent fractions
Edinburgh W P Milne (Clifton College, Bristol) The focal circles of circular cubics
K J Sanjana (Bhaonagar, Bombay) Note on Professor Allardice's paper "On the locus of the foci of a system of similar conics through three points"
A Martin (amateur American mathematician) Algebraic solution to the three-point problem
Glasgow F E Edwardes (Harrow School) (i) A proof of Dupin's theorem, (ii) Two methods of obtaining Cayley's condition that a family of surfaces may form one of an orthogonal triad, (iii) An extension of Dupin's theorem
J A Donaldson Fermat's theorem deduced from theory of circulating radix fractions
Edinburgh P Pinkerton (George Watson's College, Edinburgh) The scope of elementary geometry
Edinburgh J Miller (West of Scotland Technical College, Glasgow) On a class of surfaces
R F Muirhead (Glasgow) A method for successive graphic interpretations
D G Taylor (University College, Cardiff) End-to-end focal chords in an ellipse
W P Milne (Clifton College, Bristol) The focal and bi-tangent properties of bi-circular quartics

1911-12

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Edinburgh W P Milne (Clifton College, Bristol) The system of cubic curves circumscribing two triangles and apolar to them
W P Milne (Clifton College, Bristol) An easy geometric representation of the sextic covariant of a binary quartic
T H Miller (Training College, Isleworth) On the numerical calculation of natural logarithms
Edinburgh W Peddie (University College, Dundee) The mechanical solution of an n-ic, and exhibition of a model for the determination of the roots of a cubic
D M Y Sommerville (St Andrews) Einstein's principle of relativity in its kinematical aspect
D M Y Sommerville (St Andrews) Note on Legendre's and Bertrand's proof of the parallel postulate by infinite areas
Edinburgh J A Donaldson An infinite series of triangles and conics with a common pole and polar
F E Edwardes (Harrow School) The condition that the family of surfaces ϕ(x,y,z,λ)=0\phi(x, y, z, \lambda) = 0 may be one of an orthogonal triad
R F Davis (Amateur mathematician) Graphical trisection of circular arc
Edinburgh C Goldziher (Budapest, Hungary) On graphical integration
R F Muirhead (Glasgow) A mechanism for solving equations for the nth degree
G Philip (George Watson's College, Edinburgh) The geometry of the general pedal curve
W Gentle (George Heriot's School, Edinburgh) An extension of the remainder theorem
Glasgow G D C Stokes (Glasgow) An analytical study of plane rolling mechanisms
C Tweedie (Edinburgh) The fundamental formula for the area of a triangle in analytical geometry
E M Horsburgh (Edinburgh) Proof of a fundamental relation in the theory of bending between the bending moment and load curves, or between the deflection and bending moment curves
H Levy (Göttingen) An extension of Clairaut's differential equation
Edinburgh W P Milne (Clifton College, Bristol) Further investigations of circular cubics and bi-circular quartics
F G Texeira (Porto) Note on the researches of Maclaurin on circular cubics
H T H Piaggio (Nottingham) Note on linear differential equations with constant coefficients
Edinburgh G A Gibson (Glasgow) On graphical work in school teaching
Edinburgh H S Carslaw (Sydney, Australia) A problem in the linear flow of heat discussed from the point of view of the theory of integral equations
D G Taylor (University College, Cardiff) Linear substitutions and their invariants
W Brash (Edinburgh undergraduate) Two general theorems in the differential calculus

1912-13

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Edinburgh H S Carslaw (Sydney, Australia) Integral equations and the determination of Green's functions in the theory of potential
F E Edwardes (Harrow School) On the expansion of (1+z2/2!+z3/3!+)n(1 + z^{2}/2! + z^{3}/3! + )^{-n} in positive integral powers of z, when n is a large positive integer
J C Swaminarayan (Gujerat College, Ahmedabad, India) A determinantal proof of Ptolemy's theorem
Edinburgh R J T Bell (Glasgow) A method of finding i) the double points of a unicursal curve and ii) unicursal quartics with three given double points
G D C Stokes (Glasgow) Integration of the x-u differential equation in the problem of two bodies
F G Taylor (University College, Nottingham) The point "O" and two associated cubics
Edinburgh R F Davis (Amateur mathematician) On a certain algebraical elimination
J C Swaminarayan (Gujerat College, Ahmedabad, India) Osculating conic at any point of a given plane curve
H Levy (Göttingen) Diametrical curves, and mean point loci of systems of curves and surfaces
Edinburgh G Philip (George Watson's College, Edinburgh) A problem of Robert Simson's
J A Donaldson On the summation of 1r+2r+3r++nr1^{r}+ 2^{r}+ 3^{r}+ + n^{r}
J C Swaminarayan (Gujerat College, Ahmedabad, India) Generalized form of Clairaut's equation
Glasgow D Some optical constructions (i) A geometrical construction for the rainbow formula, (ii) Geometrical constructions for refraction and reflection in a prism
J A Third (Aberdeen) Geometrical constructions for refraction and reflection in a prism
R F Muirhead (Glasgow) Notes on mathematical induction
Edinburgh W P Milne (Clifton College, Bristol) A system of nonagons nonuply in perspective
D G Taylor (University College, Cardiff) On a certain class of linear substitutions of order four
Edinburgh E T Whittaker (Edinburgh) Changes in university mathematics during the last twenty years
Edinburgh W Finlayson (lived in Edinburgh) The "O" circle of the co-axial triad through the vertices of a triangle, and the "O" locus for a cyclic quadrangle
E M Horsburgh (Edinburgh) A simple linkage for describing equal areas
E M Horsburgh (Edinburgh) Model of a well-known deformable triangular linkage
E M Horsburgh (Edinburgh) Graphical harmonic analysis

1913-14

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Edinburgh A B Basset (Amateur mathematician) On a class of singularities discussed by Dr Sprague
F G Taylor (University College, Nottingham) and Marr, W L (High School for Girls, Aberdeen) The six trisectors of each of the angles of a triangle
Edinburgh J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Notes on spherical harmonics
G A Gibson (Glasgow) Napier's Logarithms
P Humbert (Edinburgh) On some results concerning integral equations
Edinburgh R J T Bell (Glasgow) Note on the axes of a normal section of the enveloping cylinder of a conicoid
A Milne (Provincial Training College, Edinburgh) On the equation of the parabolic cylinder functions
E T Whittaker (Edinburgh) On the continued fractions which represent the functions of Hermite and other functions defined by differential equations
Edinburgh A G Burgess (Ladies' College, Edinburgh) Concurrency of lines joining vertices of a triangle to opposite vertices of triangles on its sides
D M Y Sommerville (St Andrews) Note on Gauss's proof of the reciprocity of parallelism
A W Young (St Andrews) On the quasi-periodic solutions of Mathieu's differential equation
Glasgow R F Muirhead (Glasgow) Some graphical methods for determining centres of gravity
R F Muirhead (Glasgow) Theorems analogous to Newton's theorems on symmetric functions: with elementary proofs
D G Taylor (University College, Cardiff) On certain formulae connected with the function (cosnαcosnθ)/(cosαcosθ)(\cos n\alpha - \cos n\theta)/(\cos \alpha- \cos \theta)
D K Picken (Victoria College, Wellington, New Zealand) On summable series and Bernoullian numbers
Edinburgh F G Taylor (University College, Nottingham) The relation of Morley's theorem to the Hessian axis and circumcentre
W L Marr (High School for Girls, Aberdeen) Morley's trisection theorem: an extension and its relation to the circles of Apollonius
D K Picken (Victoria College, Wellington, New Zealand) On Simson's line and related theory: an exercise in geometric generality
E L Ince (Edinburgh) On certain theorems on continued fractions equivalent to Riemann's and other transformations of the P-function
Edinburgh A Gray (Glasgow) On the attractions of spherical and ellipsoidal shells
E T Whittaker (Edinburgh) On the general solution of Mathieu's equation
G Philip (George Watson's College, Edinburgh) Napier's 'De Arte Logistica'

1914-15

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Edinburgh G N Watson (University College, London) The convergence of the series in Mathieu's functions, {Communicated by Professor Whittaker}
D M Y Sommerville (St Andrews) Taylor's cubics associated with a triangle in non-Euclidean geometry
E L Ince (Edinburgh) The elliptic cylinder functions of the second kind
Edinburgh A W H (Trinity College, Cambridge) Thompson The geometry of space, {Communicated by Thomas M MacRobert}
E T Whittaker (Edinburgh) On a class of differential equations whose solutions satisfy integral equations
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) A theorem on the contact of circles leading up to the theorems of Feuerbach and Hart
Edinburgh H Briggs Vector errors
A W H (Trinity College, Cambridge) Thompson Solid Geometry, {Communicated by Thomas M MacRobert}
E T Whittaker (Edinburgh) On an integral-equation whose solutions are the Legendre polynomials
W P Milne (Clifton College, Bristol) Easy proof of von Staudt's theorem, {Communcated by Peter Comrie}
Edinburgh G H (University College, Bangor) Bryan Note on suspension bridge catenaries, {Communicated by Ellice Martin Horsburgh}
P Humbert(Edinburgh) On a class of integral equations, {Communicated by Professor Whittaker}
A Milne (Provincial Training College, Edinburgh) On the roots of the confluent hypergeometric functions
C G Knott (Edinburgh) Quaternion proof of the theorem of moments in rigid dynamics
E Blades (George Watson's Ladies' College, Edinburgh) On spheroidal harmonics
Glasgow A W H Thompson (Trinity College, Cambridge) Solid geometry
G D C Stokes (Glasgow) A simple link apparatus for the mechanical solution of quadratic equations
F Tavani New formulae about the theory of the series of alternate sign, {Communicated by A S Morrison}
Edinburgh L R Ford (Edinburgh) On the roots of a derivative of a rational function
C Tweedie (Edinburgh) Studies of the life and writings of Colin Maclaurin, {Communicated by David Gibb}
H T FlintRecurrence formulae for the functions which represent solutions of the differential equation d2u/dx2α2u=p(p+1)u/x2d^{2}u/dx^{2}- \alpha^{2}u = p(p+1)u/x^{2}, {Communicated by Archibald Milne}
E T Whittaker (Edinburgh) Exhibition of two simple nomograms
Edinburgh G B Jeffery (University College, London) On spheroidal harmonics and allied functions, {Communicated by Edward Blades}
A G Burgess (Ladies' College, Edinburgh) Determinants connected with the periodic solutions of Mathieu's equation
L R Ford (Edinburgh) On the oscillating functions derived from a discontinuous function
W L Marr (High School for Girls, Aberdeen) The angle between two lines in trilinears

1915-16

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Edinburgh J A Strang The solution of difference equations by continued fractions, {Communicated by Archibald Milne}
J E A Steggall (University College, Dundee) A suggested measure of relationship
J E A Steggall (University College, Dundee) The solution of difference equations by continued fractions
G E Crawford (Clifton, Bristol) Notes on a triangle, {Communicated by T A Brown}
E Press (Bank of Abyssinia, Addis Ababa, Abyssinia) An easy geometrical proof of a theorem of Chasles, {Communicated by J Mackenzie}
Edinburgh D G (University College, Cardiff) Taylor Real linear substitutions with equimodular multipliers, and their expression in terms of their invariants, {Communicated by Thomas M MacRobert}
S Brodetsky (Bristol) On the linear differential equation of the second order, {Communicated by H Levy}
T A Brown (postgraduate student, Edinburgh) Fourier's integral
Edinburgh H Datta (postgraduate student, Edinburgh) On the theory of continued fractions
A Milne (Provincial Training College, Edinburgh) The conformal representation of the quotient of two Bessel functions
Edinburgh E L Ince (Edinburgh) On the continued fractions associated with the hypergeometric equation, {Communicated by Glenny Smeal}
A Milne (Provincial Training College, Edinburgh) Note on the Peano-Baker method of solving linear differential equations
D Gibb (Librarian, Edinburgh) On integral relations connected with the hypergeometric function
E M Horsburgh (Edinburgh) A simple form of integrometer
Glasgow J F Tinto On the three-dimensional transformations founded on the twisted cubic and its chord systems
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Elliptic cylindrical harmonics: The solution of Mathieu's differential equation
Edinburgh S Brodetsky (Bristol) The linear differential equation of the second order, {Communicated by Ellice Martin Horsburgh}
D M Y Sommerville (St Andrews) A new nomogram for the cubic equation, {Communicated by Professor Whittaker}
G Philip (George Watson's College, Edinburgh) On a group of parabolas associated with the triangle
F G (University College, Nottingham) Taylor Birationally related cubics, {Communicated by Alexander George Burgess}
Edinburgh E T Whittaker (Edinburgh) On the solution of Riccati's equation by continued fractions
H Datta (postgraduate student, Edinburgh) On symmetric determinants and Pfaffians
W P Milne (Clifton College, Bristol) The Hessian-polars of n-dimensional cubics, {Communicated by Peter Ramsay}
W P Milne (Clifton College, Bristol) Determinantal systems of points, {Communicated by Peter Ramsay}
F G (University College, Nottingham) Taylor An involution pencil of whole-plane birationally related cubics, {Communicated by Alexander George Burgess}

1916-17

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Edinburgh E T Whittaker (Edinburgh) Some theorems on determinants
H Datta (postgraduate student, Edinburgh) On the theory of continued fractions: second paper
Edinburgh L R Ford (Edinburgh) On a class of continued fractions
E T Whittaker (Edinburgh) On certain determinants of Cayley and Sylvester
E M Horsburgh (Edinburgh) An addition to the slide-rule
Edinburgh W P Milne (Clifton College, Bristol) The apolar locus of two tetrads of points, {Communicated by Peter Ramsay}
L R Ford (Edinburgh) A method of solving algebraic equations
Edinburgh W P Milne (Clifton College, Bristol) The co-apolars of a cubic curve, {Communicated by Archibald Milne}
S Brodetsky (Bristol) On the general linear differential equation, {Communicated by Ellice Martin Horsburgh}
Edinburgh G B Jeffery (University College, London) Transformations of axes for Whittaker's solution of Laplace's equation, {Communicated by Edward Blades}
H Datta (postgraduate student, Edinburgh) On the failure of Heilermann's theorem
Edinburgh L R Ford (Edinburgh) A geometrical proof of a theorem by Hurwitz and Borel
D G (University College, Cardiff) Taylor Geometrical illustrations of cyclant substitutions, {Communicated by Alexander George Burgess}
Edinburgh E T Whittaker (Edinburgh) On the latent roots of compound determinants and Brill's determinants
W L (High School for Girls, Aberdeen) Marr A closed system of triangles apolar to a given triangle, and derivative systems, {Communicated by Peter Ramsay}
J F Tinto On a group of transformations connected with the 27 lines of the cubic surface, {Communicated by Peter Ramsay}
J F Tinto On the plane representation of a certain class of homaloidal surfaces, {Communicated by Peter Ramsay}
A W Young On the computation of a Lagrangian interpolation, {Communicated by Professor Whittaker}
L R Ford (Edinburgh) The effect of a rise in prices on the amount of small money used

1917-18

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Edinburgh W P Milne (Clifton College, Bristol) The apolar locus of two tetrads of points on a conic, {Communicated by Archibald Milne}
F G W (West Ham Municipal Technical Institute) Brown The Brocard and Tucker circles of a cyclic quadrilateral, {Communicated by Eleanor Pairman}
Edinburgh C Tweedie (Edinburgh) Nicole's contribution to the foundations of the calculus of finite differences, {Communicated by Ellice Martin Horsburgh}
E T Whittaker (Edinburgh) An asymptotic representation of the exponential function: On Poisson's integral-equation
Edinburgh E Pairman (Edinburgh) On a difference equation due to Stirling
E T Whittaker (Edinburgh) On Bernoulli's and Fürstenau's methods for the solution of equations
E M Horsburgh (Edinburgh) An approximate formula for the length of an arc of a suspended rope
Edinburgh G Smeal (Edinburgh) The parameter method of iteration
E Pairman (Edinburgh) A new form of the remainder in Newton's interpolation formula
Edinburgh C G Knott (Edinburgh) Note on the Quaternion theory of confocals
R F Muirhead (Glasgow) Geometrical notes on the accelerations of points of a rigid plane body moving in its own plane, {Communicated by Ellice Martin Horsburgh}
Edinburgh D M Y Sommerville (St Andrews) Some applications of spherical geometry to geometrical optics, {Communicated by Edmund Taylor Whittaker}
D M Y Sommerville (St Andrews) Note on the minimum duration of twilight, {Communicated by Edmund Taylor Whittaker}
T H (Training College, Isleworth) Miller Note on the radical axis of intersecting circles, {Communicated by Peter Ramsay}
R F Muirhead (Glasgow) Rolling loads: a new graphical method, {Communicated by Ellice Martin Horsburgh}
Edinburgh E Pairman (Edinburgh) Relations connected with the generalised differentiation
E T Whittaker (Edinburgh) Some new expansions in series of polynomials: A formula for the solution of algebraic or transcendental equations

1918-19

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Edinburgh J E A Steggall (University College, Dundee) Notes on the homographic transformation of the cubic and biquadratic
Edinburgh C Tweedie (Edinburgh) The Stirling numbers and polynomials, {Communicated by Archibald Milne}
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) A theorem of Sonine in Bessel functions, with two extensions to spherical harmonics
F Bowman (College of Science and Technology, Manchester) Note on the complete Jacobian elliptic integral
Edinburgh E M Horsburgh (Edinburgh) A mechanical solution of a differential equation of torsion
F (College of Science and Technology, Manchester) Bowman Note on the intersection of a plane curve and its Hessian at a multiple point, {Communicated by Peter Ramsay}
F (College of Science and Technology, Manchester) Bowman Note on the formula for the radius of the circumsphere of a tetrahedron in terms of edges, {Communicated by Peter Ramsay}
Edinburgh J F Tinto On the stereometric generation of the de Jonquières transformation
Edinburgh E T Whittaker (Edinburgh) Some disputed questions of probability
C G Knott (Edinburgh) Systems of rays in quaternion symbolism
Edinburgh W H Metzler (Syracuse University, New York) Theorems connected with the differentiation of a circulant, {Communicated by Glenny Smeal}
T M MacRobert (Glasgow) Relations between the integrals of the hypergeometric equation
Edinburgh W L Marr (High School for Girls, Aberdeen) Determinantal systems of apolar triads in the twisted cubic
W L Marr (High School for Girls, Aberdeen) The co-symmedian system of tetrahedra inscribed in a sphere
D M Y Sommerville (St Andrews) Approximations to the length of an arc, {Communicated by Ellice Martin Horsburgh}
D G Taylor (University College, Cardiff) A new approximate formula for the complete elliptic integrals K(k),E(k)K(k), E(k)

1919-20

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Edinburgh E T Whittaker (Edinburgh) A new basis for graduation
H W Richmond (King's College, Cambridge) A geometrical proof of Professor Morley's extension of Feuerbach's theorem, {Communicated by Peter Ramsay}
Glasgow G A Gibson (Glasgow) A proof of the binomial theorem, with some applications
R F Muirhead (Glasgow) Extension of Frenet's formulae to a curve in flat space of n dimensions
R F Muirhead (Glasgow) A version of Hagen's proof of the law of error
Edinburgh N McArthur (Glasgow) Note on the polynomials which satisfy the differential equation x(d2y/dx2)+(γx)dy/dxαy=0x(d^{2}y/dx^{2}) + (\gamma - x)dy/dx - \alpha y = 0
E M Horsburgh (Edinburgh) The slip surface and failure of metal in tension
R F (Amateur mathematician) Davis Geometrical note on the orthopole, {Communicated by Glenny Smeal}
Edinburgh T M MacRobert (Glasgow) The modified Bessel function K(z)K(z)
E M Horsburgh (Edinburgh) A radiant transparent scale for use with an abacus
W A Barclay Nomograms for financial formulae
Edinburgh C Tweedie (Edinburgh) The life of James Stirling, the Jacobite Mathematician, with exhibition of autograph letters by N Bernoulli, Clairaut, Cramer, Euler, Maclaurin and Stirling
J Mitchell On the arrangement of signs of the terms in a certain double series given by Arndt, {Communicated by W S Catto}
Edinburgh E T Whittaker (Edinburgh) Some developments in curve-fitting and the calculus of differences
C G Knott (Edinburgh) Robert Hooke on molecular interplay
Edinburgh G Smeal (Edinburgh) On direct and inverse interpolation by divided differences

1920-21

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Edinburgh W L Thomson (George Heriot's School, Edinburgh) On inverse probability
F W Moon A problem in engineering geology, {Communicated by William L Thomson}
Glasgow G D C Stokes (Glasgow) An analytical treatment of the cam problem
D G (University College, Cardiff) Taylor Multiply perspective polygons inscribed in a plane cubic curve, {Communicated by Neil McArthur}
T A Brown Converse of the Le Roy Lindelof theorem
Edinburgh P Humbert (Faculty of Science, Montpellier) Some extensions of Pincherle's polynomials, {Communicated by Professor Whittaker}
T M MacRobert (Glasgow) Asymptotic expansions for the Bessel functions, and the Fourier-Bessel expansions
H (Bristol) Todd On the average value of a variant magnitude, {Communicated by Peter Ramsay}
Edinburgh D G (University College, Cardiff) Taylor Addition of a third of a period to the argument of the elliptic function, {Communicated by Thomas M MacRobert}
W Arthur and McArthur, N (Glasgow) Notes on analytical geometry
Edinburgh E B Ross (Christian College, Madras, India) and Baker, B B (Edinburgh) A problem in dynamics: The vibrations of a particle about a position of equilibrium,
Edinburgh B B Baker (Edinburgh) On the relation between Pincherle's polynomials and the hypergeometric function
J A Strang (Canning College, Lucknow, India) The inverse problem of insoptic loci, {Communicated by James D Fulton}
R W (Aberystwyth) Genese On a supplement to Gauss's theorem on the sum of two squares, {Communicated by Peter Ramsay}
Glasgow H S Carslaw (Sydney, Australia) On some map projections, including the story of Mercator's projection -- a chapter in the history of mathematics
G A Gibson (Glasgow) Taylor's theorem and Bernoulli's theorem: a historical note

1921-22

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Edinburgh E T Whittaker (Edinburgh) The geometry of relativity
Glasgow W (Purdue University, Lafayette, Indiana) Marshall Determination of the arbitrary constants which appear in the asymptotic expansions for the functions of the elliptic cylinder, {Communicated by Thomas M MacRobert}
G D C Stokes (Glasgow) A school method of evaluation π
G D C Stokes (Glasgow) A dissection of the extended form of Pythagoras's theorem
R F (Amateur mathematician) Davis Note on Halley's Problem: To construct an ellipse whose focus is given, which shall pass through three given points, {Communicated by Peter Ramsay}
Edinburgh B B Baker (Edinburgh) The vibrations of a particle about a position of equilibrium, Part 2 The relation between series and elliptic function solutions
E T Whittaker (Edinburgh) On Sylvester's dialytic method of elimination
E T Whittaker (Edinburgh) Note on an asymptotic expansion for the exponential function
Edinburgh T M MacRobert (Glasgow) The asymptotic expansion of the confluent hypergeometric function and a Fourier-Bessel expansion
S L (Queen Mary College, London) Green Note on the tetrahedron, {Communicated by David Gibb}
E M Horsburgh (Edinburgh) Root extraction by the calculating machine
Edinburgh C G Knott (Edinburgh) Recent work on earthquake waves
G J Lidstone (Scottish Widows' Fund in Edinburgh) A new form for the sum of a trigonometric series, {Communicated by George D C Stokes}
Glasgow G A Gibson (Glasgow) Newton's conception of a limit as interpreted by Jurin and Robins respectively
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Remarks on Mathieu's functions
St Andrews H W Turnbull (St Andrews) The invariant theory of circles and bicircular quartics
P Humbert (Faculty of Science, Montpellier) On Mathieu's functions of higher order, {Communicated by David Gibb}
G J Lidstone (Scottish Widows' Fund in Edinburgh) Notes on Everett's interpolation formula, {Communicated by George Robinson}
C E Wolff Notes on problems in the theory of potential

1922-23

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Edinburgh B B Baker (Edinburgh) The vibrations of a particle about a position of equilibrium, Part 3, The significance of the divergence of the series solution
B B Baker (Edinburgh) The vibrations of a particle about a position of equilibrium, Part 4, The convergence of the trigonometric series of dynamics
A Daniell (lawyer) Note on the integral powers of multinomials
Glasgow T M MacRobert (Glasgow) The asymptotic expansions of the spherical harmonics
R Vaidyanathaswami (The University, Madras, India) On decreasing sequences of positive integers
Edinburgh E T Whittaker (Edinburgh) On some questions connected with skew determinants
A W King A form of Laplace's operator, {Communicated by Edward Thomas Copson}
Edinburgh H W Turnbull (St Andrews) The algebra of geometrical reciprocation
H W Turnbull (St Andrews) Gordan's theorem for double binary forms
A A K Ayyangar (Mysore, India) Notes on elementary geometry, {Communicated by J B Lockhart}
Edinburgh A J Pressland (The Academy, Edinburgh) A discussion on the teaching of elementary geometry
Glasgow G A Gibson (Glasgow) James Gregory's mathematical work: a study based chiefly on his letters
S Brodetsky (Leeds) On curved barriers
E L Ince (Liverpool) Associated Mathieu functions, {Communicated by Archibald Milne}
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) On the solution of Mathieu's differential equation and their asymptotic expansions
St Andrews J E A Steggall (University College, Dundee) Notes on the equations of the epicycloids and hypocycloids
H W Turnbull (St Andrews) Note on the inversion geometry of bicircular quartics
W Saddler (St Andrews) Geometrical interpretation of a few concomitants of the cubic in the Argand plane
R Vaidyanathaswami (The University, Madras, India) Note on an extension of the harmonic relation between two conics
G S Eastwood (Beath Secondary School in Cowdenbeath) On tubes of force in a special class of electromagnetic fields
J P Gabbat (Peterhouse, Cambridge) On the non-Euclidean analogues of Tarry's point
D M Y Sommerville (St Andrews) Space-filling tetrahedra in Euclidean space
S L Green (Queen Mary College, London) On the relation between two quadrics which are such that the edges of an icosahedron inscribed in one are tangents to the other

1923-24

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Edinburgh M C Gray (Imperial College of Science and Technology, London) The equation of telegraphy
A C Aitken (Edinburgh) An elementary proof of Girard's theorem
A C Aitken (Edinburgh) An infinite product of Euler
Glasgow T M MacRobert (Glasgow) Expansions in series of spherical harmonics
R F Blades Direct proofs of theorems in elementary geometry
A C Aitken (Edinburgh) and Frewin, G L (George Watson's College, Edinburgh) The numerical evaluation of double integrals
E T Copson (Edinburgh) On a linear partial differential equation of hyperbolic type
Edinburgh H W Turnbull (St Andrews) Canonical forms of the cubic surface
E T Whittaker (Edinburgh) On inverse functions
J Williamson (Johns Hopkins University, Baltimore) The linear complexes belonging to the invariant system of three quadrics
R Vaidyanathaswami (The University, Madras, India) On mixed determinants
Edinburgh M C Gray (Imperial College of Science and Technology, London) The equation of conduction of heat
G Prasad (University of Allahabad) On the numerical solution of integral equations
H W Turnbull (St Andrews) Note on the configuration of the eight common points of three quadrics
W Saddler (St Andrews) Note on Sylvester's theorem of elimination
Edinburgh S Beatty (Toronto) On the rearrangement of terms in a complex series, {Communicated by Bevan B Baker}
F (Imperial College of Science and Technology, South Kensington) Lord Analytical expressions for Zeuner's and other valve diagrams, {Communicated by Ellice Martin Horsburgh}
J J Nassau (Warner and Swasey Observatory, Case School of Applied Science, Cleveland, Ohio) Some axi-symmetric determinant with integers for elements, {Communicated by David Gibb}
E T Copson (Edinburgh) The conservation theorems of a damped dynamical system
Glasgow W H Metzler (Syracuse University, New York) A generalisation and simple proof of Kronecker's theorem concerning the minors of a compound determinant, {Communicated by David Gibb}
B B Baker (Edinburgh) An extension of Heaviside's operational method of solving differential equations
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Notes on Mathieu's differential equation
St Andrews H W Turnbull (St Andrews) On the bearings of projective geometry on Weyl's relativity hypothesis
W Saddler (St Andrews) Note on the geometry of two binary quadratics in the complex plane
W Saddler (St Andrews) The geometrical interpretation of the complete system of two double binary (2, 1) forms
J Williamson (Johns Hopkins University, Baltimore) The irreducible covariants belonging to the concomitant system of three quadrics
A C Aitken (Edinburgh) Series formulae for the roots of equations
R Vaidyanathaswami (The University, Madras, India) The locus of lines meeting three regions
G E Chappell (County School, Bridgend, Glamorgan) The properties of a new orthogonal function associated with the confluent hypergeometric function

1924-25

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Edinburgh A C Aitken (Edinburgh) A series for symmetric functions of roots of equations
A A K Ayyangar (Mysore, India) On the sexi-sectional equation, {Communicated by Alexander Craig Aitken}
C Tweedie (Edinburgh) Notes on James Gray, {Communicated by Archibald Milne}
E T Copson (Edinburgh) On self-adjoint partial differential equations of the second order, (Part 1)
Glasgow T M MacRobert (Glasgow) On the expression for the surface density of a sphere in terms of spherical harmonics
W L Ferrar (Edinburgh) On the Riemann P-equation with integral exponent differences
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Elementary notes on coordinates, conics and conjugate points
Edinburgh J Williamson (Johns Hopkins University, Baltimore) and Turnbull, H W (St Andrews) On the general invariant theory of two quadratics in n variables
W L Ferrar (Edinburgh) On the cardinal function of interpolation
M C Gray (Imperial College of Science and Technology, London) Particular solutions of the equation of conduction of heat in one dimension, {Communicated by Edward Thomas Copson}
R Wilson Power co-ordinates and the bicircular quartic, {Communicated by Herbert Westren Turnbull}
Edinburgh H W Turnbull (St Andrews) On the geometrical connexion between lines in S3 and points of quadrics in S5
Aitken A C (Edinburgh) On recurring decimals
H W Turnbull (St Andrews) Note on the orthocentric property of a triangle
Glasgow T M MacRobert (Glasgow) The addition theorem for the Legendre functions of the second kind
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Elementary notes on coordinates, conics and conjugate points
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) On the development of the elementary functions from Vandermonde's theorem
E T Copson (Edinburgh) Note on Binet's inverse factorial series for μ(x)\mu(x)
St Andrews H M Macdonald (Aberdeen) Note on a formula connected with Fourier series
J E A Steggall (University College, Dundee) Coaxal quadrics
R (The University, Madras, India) VaidyanathaswamiThe group of the (2,2) form, {Communicated by Herbert Westren Turnbull}
W Saddler (St Andrews) The geometrical interpretation of the concomitants of the double binary (2, 2) form
Edinburgh A C Aitken (Edinburgh) The mathematical theory of graduation
H W Turnbull (St Andrews) Notes on the configuration of lines and points on a quadric surface
W Saddler (St Andrews) Note on a binary quartic
R F Muirhead (Glasgow) Note on topics of regions separated by boundaries
J M Whittaker (Trinity College, Cambridge) The differentiation of an indefinite integral,
W L Ferrar (Edinburgh) On the relation between inverse factorial series and binomial coefficient series
T Kaucky Note on the paper of Dr Bevan B Baker: An extension of Heaviside's operational method of solving differential equations

1925-26

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Edinburgh E M Horsburgh (Edinburgh) Charles Tweedie, M A , B Sc , F R S E , (Obituary notice)
A Milne (Provincial Training College, Edinburgh) William Lindsay, (Obituary notice)
H W Turnbull (St Andrews) On the condition that ten points should lie on a quadric surface
W L Ferrar (Oxford) The possible generalisation of Pascal's theorem to three dimensions, {Communicated by Herbert Westren Turnbull}
G S Eastwood (Beath Secondary School in Cowdenbeath) Note on calamoids
E T Copson (Edinburgh) On self-adjoint partial differential equations of the second order (Part 2)
Glasgow P Comrie (Leith Academy) James Archibald (Obituary Notice)
G Lawson (Waid Academy, Anstruther) Discussion on tangency in elementary geometry
Edinburgh A G McKendrick (College of Physicians Laboratory, Edinburgh) Applications of mathematics to medical problems
Edinburgh W Saddler (St Andrews) Apolar triads on a cubic curve
J Ghosh Transverse vibrations of an elliptic plate
D M Y Sommerville (St Andrews) Peaucellier's cell and other linkages in non-Euclidean geometry, {Communicated by William Saddler}
E T Copson (Edinburgh) Note on Whittaker's solution for Laplace's equation
W L Ferrar (Oxford) and Bell, R J T (Glasgow) Mathematical Notes, {Communicated by Peter Ramsay}
Glasgow R Walker (Provincial Training College, Glasgow) William A Lindsay, M A , B Sc , (Obituary notice)
G A Gibson (Glasgow) Some criticisms of Robert Simson by Sir T L Heath
J Hyslop (Glasgow) Geometrical illustrations of the matrix theory
EdinburghCancelled due to general strike
St Andrews H W Turnbull (St Andrews) The invariant theory of the quadratic complex
H Bateman (California Institute of Technology) Local electromagnetic fields
J Ghosh The Einsteinian gravitational field of a heterogeneous fluid sphere

1926-27

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Edinburgh J Hyslop (Glasgow) A theorem on the integral of Stieltjes
H F Baker (Cambridge) Symbolic algebra and rational curves on quadrics, {Communicated by Herbert W Turnbull}
H W Richmond (King's College, Cambridge) Note on the line of striction
J M Whittaker (Edinburgh) An addition theorem for the Mathieu functions
Glasgow E T Whittaker (Edinburgh) On the concept of frequency of light
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Difference equations and asymptotic expansions
A H Two models for teaching solid geometry in schools (with demonstrations)
T M MacRobert (Glasgow) On some Legendre function formulae
Edinburgh H W Turnbull (St Andrews) Note on double binary perpetuants
A C Aitken (Edinburgh) On determinants of symmetric functions
J M Whittaker (Edinburgh) On the correlation of aggregates
J M Whittaker (Edinburgh) On the cardinal function of interpolation theory
E T Copson (Edinburgh) Note on the integral equations for the Lamé functions
H W Turnbull (St Andrews) Note on partial fractions and determinants
J McWhan (Glasgow) On the maxima and minima of functions of two variables
Edinburgh A C Aitken (Edinburgh) Permutations and allied topics
W Saddler (St Andrews) Note on the trilinear correspondence
W F Sheppard (Edinburgh) Interpolation with least mean square of error
J Ghosh A class of solutions of Einstein's gravitational equations
H W Richmond (King's College, Cambridge) On the meaning of an equation in dual coordinates
H W Richmond (King's College, Cambridge) On the uninodal quartic curve
Edinburgh C A Stewart (Sheffield) The solution of Cauchy's problem for linear partial differential equations, with constant coefficients, by means of integrals involving complex variables
W Saddler (St Andrews) Apolar triads on a cubic curve
R Vaidyanathaswami (The University, Madras, India) A special pencil of binary quartics
H W Turnbull (St Andrews) Note on partial fractions and determinants
Glasgow E T Whittaker (Edinburgh) Definitions, axioms and existence-theorems in Euclid
St Andrews H W Turnbull (St Andrews) On differentiating a matrix
A C Aitken (Edinburgh) On the latent roots of matrices
W Saddler (St Andrews) Apolar triads of a cubic curve
R Vaidyanathaswami (The University, Madras, India) A special pencil of binary quartics
R N Sen (Edinburgh) Infinitesimal analysis of an arc in n-space

1927-28

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Edinburgh C E Wolff Note on numerical integration
W L Ferrar (Oxford) A critical study of generalised derivatives and integrals, {Communicated by Edward Thomas Copson}
C E Weatherburn (The University, Perth, West Australia) Some properties of a family of curves on a surface
S C Mitra (Dacca University, India) On the zeros of the confluent hypergeometric function
E T Copson (Edinburgh) On Hardy's theory of m-functions
Glasgow G D C Stokes (Glasgow) Three mathematical notes
J M Whittaker (Edinburgh) Cardinal function interpolation
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Three mathematical notes
Edinburgh J Williamson (Johns Hopkins University, Baltimore) Division algebras
Edinburgh H W Turnbull (St Andrews) On matrix differentiation
W Saddler (St Andrews) On the invariant algebra associated with lines
E T Bell (California Institute of Technology) A generalisaton of circulants
Glasgow J M Whittaker (Edinburgh) On Whitehead's theory of relativity
R F Muirhead (Glasgow) On maxima and minima
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Newton's laws of gravitation and relativity
Edinburgh H W Turnbull (St Andrews) Great Geometers
St Andrews A C Aitken (Edinburgh) Note on Numerical Integration
J E A Steggall (University College, Dundee) On the factorization of 232+12^{32}+ 1
J Williamson (Johns Hopkins University, Baltimore) The complete system of the quadratic complex
H W Turnbull (St Andrews) On matrix equations
J J Nassau (Warner and Swasey Observatory, Case School of Applied Science, Cleveland, Ohio) A theorem on bordering symmetrical determinants whose elements are of the form araaas

1928-29

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Edinburgh E T Whittaker (Edinburgh) Recurrence formulae in the theory of the equations of mathematical physics
A C Aitken (Edinburgh) The numerical solution of algebraic equations
Glasgow R A Robb (Glasgow) Lecture on the mathematics of business statistics
Edinburgh H W Turnbull (St Andrews) Matrices whose elements are matrices
A C Aitken (Edinburgh) The reduction of a matrix to its normal form
A A K Ayyangar (Mysore, India) A linear combination prime to a given integer
Edinburgh W Saddler (St Andrews) On some algebraical points connected with the four-nodal cubic surface
J M Whittaker (Edinburgh) On the Stieltjes integral
Glasgow T M MacRobert (Glasgow) On an integral due to Ramanujan, and some ideas suggested by it
J Hyslop (Glasgow) On the Hellinger integral
C E Walsh A note on double limits
C E Walsh An application of Abel's lemma to double series
Edinburgh A C Aitken (Edinburgh) A general formula of polynomial interpolation
R N Sen (Edinburgh) On rotations on n-dimensional space
H S Ruse (Edinburgh) Notes on the tensor calculus
J Hyslop (Glasgow) Note on the remainder theorem
St Andrews P N D (St Andrews) and GuptaTurnbull, H W (St Andrews) Systems of linear complexes associated with a quadric surface
J Hyslop (Glasgow) On Young's condition for the Stieltjes integral
H W Turnbull (St Andrews) The invariant theory of bilinear forms and a problem of enumeration arising therefrom
J M Whittaker (Edinburgh) On the Poisson sum of a Fourier series

1929-30

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Edinburgh G J Lidstone (Scottish Widows' Fund in Edinburgh) On the extention of Aitken's theorem (on polynomial interpolation) to the Everett Types, {Communicated by A C Aitken}
H W Turnbull (St Andrews) A matrix form of Taylor's theorem
R N Sen (Edinburgh) Spherical simplexes in n-dimensions
Glasgow T M MacRobert (Glasgow) A formula for the product of two hypergeometric functions
A C Aitken (Edinburgh) On Charlier's new form of the frequency function
G D C Stokes (Glasgow) Note on Hero's formula
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) An extension of Clifford's chain of circles
Edinburgh G D Birkhoff (Harvard) On the number of ways of colouring a map, {Communicated by H W Turnbull}
H F Baker (Cambridge) A geometrical theorem and the resultant of two binary forms
H W Turnbull (St Andrews) Note on the resultant of two binary forms
W L Ferrar (Oxford) On generating functions, {Communicated by E T Copson}
Edinburgh H W Richmond (King's College, Cambridge) On rational solutions of x3=y3=z3=Rx^{3}= y^{3}= z^{3}= R, {Communicated by G Timms}
M Mursi (Cairo) On the uniformization of algebraic curves of genus 3
J G Semple (Edinburgh) Grassmann manifolds and their representations
E T Copson (Edinburgh) A generalization of a theorem of Mercer
Glasgow T M MacRobert (Glasgow) On some relations between the Bessel and Legendre functions
J Dougall (Glasgow and West of Scotland Technical College, Glasgow) Transmission of stress in a conical rod
T Muir (Glasgow High School) Alternative forms of expression for Hermite's determinant
Edinburgh J G Semple (Edinburgh) Intersections of quadrics
B N Prasad (Edinburgh) The absolute summability (A) of Fourier series
J M Whittaker (Edinburgh) On the 'flat' region of integral functions of finite order, {Communicated by E T Copson}
Dundee J E A Steggall (University College, Dundee) On the limiting forms of certain rational curves
H W Turnbull (St Andrews) Canonical matrices
H S Ruse (Edinburgh) On the 'Elementary' solution of a Laplace's equation
J W (Cambridge) Sutherland Equiangular spirals associated with a nest of isosceles triangles, {Communicated by G Timms}

1930-31

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Edinburgh E M Horsburgh (Edinburgh) Early instruments in navigation and surveying
R Wilson Quadratic equations in a cyclic number system
W H McCrea (Edinburgh) A 'cubical' universe
G C McVittie (Cambridge) Solution with axial symmetry of Einstein's equations of teleparallelism
R N Sen (Edinburgh) On the connexion between Levi-Civita's parallelism and Einstein's parallelism
Glasgow A Oppenheim (Edinburgh) A problem of Ramanujan
W H McCrea (Edinburgh) Mass condensations and the size of the universe
H W Turnbull (St Andrews) An elementary note on the determinant of symmetric functions, {Communicated by E T Copson}
A C Aitken (Edinburgh) The remainder theorem
H S Ruse (Edinburgh) Generalised solutions of Laplace's equation
J Blakey (Sunderland Technical College) The Milne quadrics of the trinodal cubic surface, and the contact conics of the harmonic envelope of the plain trinodal quartic
Edinburgh H W Turnbull (St Andrews) Determinants and Latin squares
E T Whittaker (Edinburgh) On the solution of differential equations by definite integrals
W O Kermack (Royal College of Physicians Laboratory, Edinburgh) and McCrea, W H (Edinburgh) On Whittaker's method of solution of differential equations by definite integrals, Part I
J Williamson (Johns Hopkins University, Baltimore) Bazin's matrix and other allied matrices
A C Aitken (Edinburgh) Note on dual symmetric functions
Edinburgh A Oppenheim (Edinburgh) A class of arithmetical identities
W H McCrea (Edinburgh) On the sections of a sicyoid
H S Ruse (Edinburgh) On the partial differential equations of mathematical physics
H W Turnbull (St Andrews) Matrix differentiation of the characteristic function
Glasgow T M MacRobert (Glasgow) Notes on Fourier Integrals
R A Robb (Glasgow) Note on Charlier's Type A curve
J Hyslop (Glasgow) Notes on the Stieltjes integral
D Rutter (Leeds University) The polar properties of the trinodal quartic curve
Edinburgh I M H Etherington (Edinburgh) On errors in determinants
W H McCrea (Edinburgh) Operational proofs of some identities
W O Kermack (Royal College of Physicians Laboratory, Edinburgh) and McCrea, W H (Edinburgh) On Whittaker's method of solution of differential equations by definite integrals, Part II
St Andrews H W Turnbull (St Andrews) The solution of matrix equations
A C Aitken (Edinburgh) The mechanical solution of linear equations
J M Whittaker (Edinburgh) The composition of linear differential systems

1931-32

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Edinburgh E T Copson (Edinburgh) Recent advances on the theory of functions
H S Carslaw (Sydney, Australia) On Cramer's theorem concerning the Gibbs' phenomenon
H S Carslaw (Sydney, Australia) and Lyons, R S A trigonometrical sum
S C Mitra (Dacca University, India) On the properties of a certain polynomial analogous to Lommel's polynomial
J D Parsons (Trinity College, Dublin) Solutions with axial symmetry of Einstein's equations of teleparallelism
D Rutter (Leeds University) The polar properties of the plane trinodal quartic curve
R Wilson A note on resultants of equations in a cyclic number system
Edinburgh W H McCrea (Edinburgh) James Clerk Maxwell and Peter Guthrie Tait
J G Tait Extracts from letters and other documents which passed between Maxwell and Tait
A G Walker (Merton College) On small deformation of sub-spaces of a flat space
W F Sheppard (Edinburgh) Interpolation given by means of differences (Central difference notation)
H W Richmond (King's College, Cambridge) The tritangent circles of a circular quartic curve
Edinburgh E T Whittaker (Edinburgh) Careers open to Honours Graduates in Mathematics
P Humbert (Faculty of Science, Montpellier) On Appel's function P(theta,phi)P (theta, phi)
Edinburgh R W M Thomson An apparatus for determining coefficients in power series, {Communicated by William Peddie and read by H S Ruse}
R P Gillespie (Glasgow) On functions of integrals
E L Ince (Liverpool) A partial differential system
H W Turnbull (St Andrews) Generalised continued fractions
D M Y Sommerville (St Andrews) Metrical coordinates in non-Euclidean geometry
A C Aitken (Edinburgh) On interpolation by iteration of proportional parts, without the use of differences
St Andrews A C Aitken (Edinburgh) Mathematical Statistics
Edinburgh T P Black (Trinity Academy, Edinburgh) Mr H G Forder's recent works on geometry, in relation to school mathematics
M Mursi-Ahmed (Cairo) On the composition of simultaneous differential systems of the first order
N H McCoy (Smith College, Northampton, Massachusetts) Certain expansions in the algebra of quantum mechanics
M Fekete (Hebrew University of Jerusalem) On the absolute summability (A) of infinite series
J T Campbell (Edinburgh) Factorial moments and frequencies of Charlier's Type B
St Andrews H W Turnbull (St Andrews) An algebraical principle of hereditary reduction
A G Walker (Merton College) Generalised moving axes
D E Rutherford (St Andrews) On the canonical form of a rational integral function of a matrix
H E Daniels (Edinburgh) A theorem on the complete integral
C E Walsh A note on sequences determined by recurrence relations
C E Winn On absolute summability for any positive order
E G Phillips Self-reciprocal functions in the form of series

1932-33

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Edinburgh E M Horsburgh (Edinburgh) Sir John Leslie, mathematician and natural philosopher
Dundee G Timms (St Andrews) The perambulator in projective geometry
Edinburgh G H Thomson (Edinburgh) Mathematical ability and mathematical teaching
Edinburgh R P Gillespie (Glasgow) The calculus of variations
Edinburgh H W Turnbull (St Andrews) James Gregory: an account of his unpublished contributions to algebra and analysis
St Andrews R P Gillespie (Glasgow) Integral inequalities;
E T Whittaker (Edinburgh) Notes on wave mechanics

1933-34

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Edinburgh J Dougall (Glasgow) Circles ancient and modern
Edinburgh H W Turnbull (St Andrews) and Aitken, A C (Edinburgh) On pencils of hermitian forms;
A C Aitken (Edinburgh) On fitting polynomials to correlated data
Edinburgh W L Edge (Edinburgh) Some elementary properties of twisted curves
Edinburgh H W Turnbull (St Andrews) On quadric surfaces circumscribing a hexagon;
I M H Etherington (Edinburgh) A method of multiplication;
A C Aitken (Edinburgh) On solving simultaneous equations
Dundee D E Rutherford (St Andrews) Modular invariants
Edinburgh G Lawson (Rector, Waid Academy, Anstruther) Some teaching problems: arithmetic and elementary algebra
St Andrews W L Edge (Edinburgh) A canonical form for three quinary quadratics;
G C McVittie (Edinburgh) The synchronising of clocks in general relativity

1934-35

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Edinburgh H W Turnbull (St Andrews) Recent developments in Higher Algebra
Edinburgh H S Ruse (Edinburgh) The twenty-one coordinates of a conic;
A C Aitken (Edinburgh) Notes on least squares
Edinburgh D'A W Thompson (St Andrews) Some polygons and polyhedra
Dundee B M Wilson (Dundee) Some notes on divergent series
Edinburgh H W Turnbull (St Andrews) On the exponential limit and Euler's gamma;
F M Marzials On the teaching of simple mathematical astronomy in schools;
I M H Etherington (Edinburgh) The use of non-associative algebra in genetics;
A C Aitken (Edinburgh) A useful expansion in determinants
Aberdeen H M Macdonald (Aberdeen) A history of dynamical methods
St Andrews H W Richmond (King's College, Cambridge) On the tritangent planes of a quadric-cubic space curve; {communicated by Bath, F }
W Ledermann (St Andrews) Note on permanants

1935-36

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Edinburgh R O Street (Royal Technical College, Glasgow) Earthquake waves
Edinburgh W L Edge (Edinburgh) A problem of reciprocation;
A C Aitken (Edinburgh) The evaluation of latent roots and latent vectors
Edinburgh C G Darwin (Edinburgh) Uncertainty
Dundee G Timms (St Andrews) The higher the fewer - some higher geometry in an elementary manner
Edinburgh H W Turnbull (St Andrews) Bideterminants;
I M H Etherington (Edinburgh) Determinants of fractional order;
A C Aitken (Edinburgh) A further note on multivariate selection
Edinburgh E T Whittaker (Edinburgh) Light waves and the Fourier theory
St Andrews W Ledermann (St Andrews) On the upper limit of the latent roots of a certain class of matrices

1936-37

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Edinburgh H S Ruse (Edinburgh) Modern differential geometry
Edinburgh H W Turnbull (St Andrews) The invariant system of a quaternary quadratic;
R A Smith (St Andrews) The disintegration of atomic nuclei
Edinburgh W Taylor School mathematics
Edinburgh W L Edge (Edinburgh) Three quadric surfaces
Edinburgh H W Turnbull (St Andrews) Deformable quadrics and their circular sections;
A G McKendrick (College of Physicians, Edinburgh) Some properties of points on a single twisted Möbius surface;
H W Turnbull (St Andrews) Note on the history of the fundamental theorem of the integral calculus
Aberdeen E M Wright (Aberdeen) The solution of Waring's problem
St Andrews A C Aitken (Edinburgh) The arithmometer in some problems of practical mathematics

1937-38

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Edinburgh R O Street (Royal Technical College, Glasgow) Tidal theory, classical and modern
Edinburgh J M Hyslop (Glasgow) On the approach of a series to its Cesaro limit;
W H McCrea (read by Etherington, I M H ) The geometrical foundations of certain relativity theories;
H W Richmond (King's College, Cambridge) On extensions of Pascal's Theorem, Part 2
Edinburgh F Bath (Edinburgh) Serret's syzygies and their applications
Edinburgh J Mackie (Rector, Leith Academy) School mathematics - a discussion
Edinburgh A J Macintyre (Aberdeen) Overconvergence and gap theorems
Edinburgh C Strachan (Aberdeen) The theory of metals
St Andrews D'A W Thompson (St Andrews) A semi-regular solid with triangular and pentagonal faces;
H W Turnbull (St Andrews) The original proof that log2=112+1314+\log 2 = 1 - \large\frac{1}{2}\normalsize + \large\frac{1}{3}\normalsize - \large\frac{1}{4}\normalsize +;
I M H Etherington (Edinburgh) Respiration mathematics;
F Bath (Edinburgh) Wallace's Theorem

1938-39

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Edinburgh G Lawson (retired Rector of Waid Academy, Anstruther, Fife) Robots in first year algebra
Edinburgh A C Aitken (Edinburgh) Reciprocals of some persymmetric matrices;
W Ledermann (St Andrews) A variation of Wilson's theorem;
E T Whittaker (Edinburgh) The connection of classical contact-transformations with non-commuting quantities
Edinburgh G Timms (St Andrews) Elementary lecture on some topics in Higher Geometry
Edinburgh W M H Greaves (Astronomer-Royal for Scotland) The escape of radiation from stars
Edinburgh G H Thomson (Edinburgh) Mathematical problems in the analysis of human ability
Edinburgh H W Turnbull (St Andrews) On the latent roots of a matrix [(i+j1)1];[ (i + j - 1)^{-1}];
J M Hyslop Some sufficient conditions for the absolute Cesaro summability of series;
J B Marshall (Edinburgh) On the extension of Fermat's Theorem to matrices
St Andrews T E Faulkner (University College, Dundee) Problems connected with the theory of surfaces

1939-40

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Edinburgh J A Carroll (Aberdeen) The foundations of natural philosophy
Edinburgh E Freundlich (St Andrews) The 2-body problem in modern astronomy
Edinburgh W M Inverarity (Schoolmaster, Clarkston)
H W Turnbull (St Andrews) and Lang, A (H M Senior Inspector of Schools) School mathematics for the prospective honours graduate
Edinburgh E L Ince (Edinburgh) Lamé functions
St Andrews H W Turnbull (St Andrews) On the geometrical treatment of elementary divisors;
A C Aitken (Edinburgh) Estimation of statistical parameters by minimum variance

1940-41

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Edinburgh W M Smart (Regius Professor of Astronomy, Glasgow) Stellar systems
Edinburgh L M Brown (Edinburgh) A description of elementary topology
Edinburgh R Schlapp (Edinburgh) Turbulence
Edinburgh M M (James Gillespie's High School for Girls) and NapierErdélyi, A (Edinburgh) School mathematics in the U S A and Europe
Edinburgh T S Graham (Glasgow) Continuous groups and differential geometry
Edinburgh A Erdélyi (Edinburgh) Integral equations for Lamé functions;
R Schlapp (Edinburgh) A note on small vibrations
St Andrews E T Copson (Dundee) Some problems in the theory of partial differential equations of physics

1941-42

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Edinburgh D E Rutherford (St Andrews) Substitutional analysis - an account of the life-work of the late Alfred Young
Edinburgh J Cossar (Edinburgh) The summability of Fourier's integral;
H W Turnbull (St Andrews) The invariant theory of canonical matrices
Edinburgh W L Edge (Edinburgh) Quartic polynomials
Edinburgh A F Buchan (Moray House Training College), Mackie, J (Rector, Leith Academy), and Reith, G (Saughton Junior Secondary School) Has mathematics as it is or could be taught in schools, any cultural or educational value for the average pupil?
Edinburgh P Eggleton On the theory of thermostat control;
A C Aitken (Edinburgh) Note on bialternants
Edinburgh A Erdélyi (Edinburgh) Doubly orthogonal systems
St Andrews H W Turnbull (St Andrews) Report on recent progress in the theory of forms

1942-43

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Edinburgh M Born (Edinburgh) Stability and thermodynamics of crystal lattices
Edinburgh H W Turnbull (St Andrews) The mathematical discoveries of Newton
Edinburgh M Born (Edinburgh), Rutherford, D E (St Andrews) and Ledermann, W (St Andrews) The distribution of the latent roots of certain matrices associated with problems of crystal bodies
Edinburgh W Scott The Junior Secondary School and its place in the Educational System
Edinburgh A C Offord (King's College, Newcastle-upon-Tyne) An inequality for sums of independent random variables;
N Walls On Morley's adjustable cycloids
Edinburgh C A Coulson (Queen's College, Dundee) Mathematics of some radiative problems in biology
St Andrews E T Whittaker (Edinburgh), Turnbull, H W (St Andrews) and Aitken, A C (Edinburgh) A hundred years of non-commutative algebra

1943-44

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Heriot-Watt College R Schlapp (Edinburgh) Eight mathematical films
Edinburgh W Ledermann (St Andrews) A note on alternate numbers;
W L Edge (Edinburgh) Another talk on quartic polynomials
Edinburgh A D Steele (Edinburgh) Some beginnings of algebraic structure in Greek mathematics
Edinburgh J Mackie (Principal Teacher of Mathematics, Leith Academy) The teaching of advanced mathematics in schools
Edinburgh G S Rushbrooke On the momentum distribution associated with a Morse potential field;
I M H Etherington (Edinburgh) Transposed algebras
Edinburgh A C Aitken (Edinburgh) The symmetric group and invariant theory
St Andrews E T Copson (Dundee) Unsolved problems in the theory of waves

1944-45

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Edinburgh R Schlapp (Edinburgh) Some early mathematical works in Edinburgh University library
Edinburgh J Cossar (Edinburgh) The introduction of the circular functions into analysis;
H W Turnbull (St Andrews) The Gordan-Capelli theorem
Edinburgh W O Kermack (Royal College of Physicians of Edinburgh) Randomness in theory and in practice
Dundee F Bath (Edinburgh) The teaching of geometry in schools
Edinburgh J Paton The use of the temperature-entropy diagram in meteorological practice
Edinburgh W W Rogosinski (Aberdeen) Measure and integral
St Andrews W Ledermann (St Andrews) A note on vector potentials;
S Read A transition of soap film from two circular discs into a catenoid;
I M H Etherington (Edinburgh) Non-associative arithmetics

1945-46

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Edinburgh W L Edge (Edinburgh) Sylvester's synthematic totals and Maschke's quartic forms
Edinburgh A C Aitken (Edinburgh) Some remarks on iteration;
H W Turnbull (St Andrews) A note on bi-forms
Edinburgh A F Buchan and Elder, T School examination questions in mathematics
Edinburgh A Erdélyi (Edinburgh) Symbolic representation of the Laplace transformation;
McIntyre xxxx^{x^{x}}
Edinburgh E G Richardson (King's College, Newcastle-upon-Tyne) The classical and real fluids
Edinburgh A D Steele (Edinburgh) Mathematics - What it is, and what it is for;
E T Whittaker (Edinburgh) The logistical school of Bertrand Russell
St Andrews E M Wright (Aberdeen) Difference-differential equations

1946-47

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Edinburgh J Mackie (Principal Teacher of Mathematics, Leith Academy) Augustus De Morgan
Edinburgh R Schlapp (Edinburgh) The life of Colin Maclaurin
Edinburgh L M Brown (Edinburgh) Plane involutions
Edinburgh A C Aitken (Edinburgh) Some remarks on matrix differentiation;
A Erdélyi (Edinburgh) Discontinuous wave functions
Edinburgh E T Copson (Dundee) Latent roots and eigenfunctions
Edinburgh H S Ruse (Leeds) Spaces of recurrent curvature
St Andrews R D Lord (Royal College of Science, Glasgow) The addition of random vectors;
H W Turnbull (St Andrews) Symmetric determinants and Cayley and Capelli operators

1947-48

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Edinburgh R P Gillespie (Glasgow) Lagrange multipliers
Edinburgh J M Whittaker (Liverpool) The representation of functions by series
Edinburgh F F Bonsall (Edinburgh) Linear independence of functions
Edinburgh G Reith (Depute Director of Education, Edinburgh) Statistics as an aid to the examiner
Edinburgh A C Aitken (Edinburgh) Symposium on probability
Edinburgh W M H Greaves (Astronomer-Royal for Scotland) The structure of globular clusters
St Andrews J M Jackson (University College, Dundee) An approximate method of evaluating certain types of surface integral;
L S Goddard (Aberdeen) Self-transformations of algebraic surfaces

1948-49

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Edinburgh I M H Etherington (Edinburgh) Recent progress in non-associative algebras
Edinburgh H J Zassenhaus (Hamburg and Glasgow) One-sided distributive algebras
Edinburgh W L Edge (Edinburgh) Undulations on plane quartic curves
Edinburgh G H Thomson The logic of factorial analysis
Edinburgh E T Whittaker (Edinburgh) The life and work of Laplace
Dundee A H Wallace (University College, Dundee) Invariant matrices and the Gordan-Capelli series;
N A Bowen Phragmen-Lindelöf and Tauberian theorems
St Andrews H W Turnbull (St Andrews) A note on the confluent regular group matrix;
P Vermes (Birkbeck College, London) Series to series transformations and analytic continuation by matrix methods

1949-50

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Edinburgh J B Marshall (Edinburgh) Powers of Gauss sums
Edinburgh L S Goddard (Aberdeen) The base for curves upon an algebraic surface
Edinburgh N W McLachlan The application of Mathieu's equation to non-linear stability problems,
A C Aitken (Edinburgh) Some polynomial reciprocities
Edinburgh H W Turnbull (St Andrews) Newton and his Scottish disciples
Edinburgh E McHarg (Glasgow) Generalisations of van der Pol's equation;
D G Palmer The problem of generalising the Jordan curve theorem
Edinburgh I N Sneddon (Glasgow) The propagation of waves in solids
St Andrews K A Hirsch (King's College, Newcastle) An arithmetic property of finite groups;
J P H Mackay (St Andrews) A note on group representation

1950-51

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Edinburgh L M Brown (Edinburgh) Configurations of associated spaces
Edinburgh E T Copson (St Andrews) The relations between Maxwell's equations and geometrical optics
Edinburgh W L Edge (Edinburgh) Humbert's plane sextics of genus 5
Edinburgh A Robson (Marlborough College) Reforms that have taken place during the last half-century in the teaching of geometry in schools
Edinburgh D N Lawley (Moray House, Edinburgh) Mathematical problems connected with the construction of intelligence tests
Edinburgh J L Burchnall (Durham) Some properties of Legendre polynomials
St Andrews D C Pack (Dundee) A problem in incompressible flow;
I M H Etherington (Edinburgh) Note on quasigroups associated with a cubic curve

1951-52

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Edinburgh H W Turnbull (St Andrews) What is zero? A sidelight on the Newton-Leibniz controversy
Edinburgh R Schlapp (Edinburgh) Some phenomena of oscillatory motion
Edinburgh H M Melvin (London) A generalisation of Holder's inequality;
L S Goddard The surfaces containing a given rational curve
Edinburgh D A Walker The scaling of teachers' estimates
Edinburgh A J Macintyre (Aberdeen) Integral functions with gap power series
Edinburgh E Freundlich (St Andrews) The relativistic deflection of light in the gravitational field of the sun
St Andrews E M Patterson (Aberdeen) Complex analytic manifolds

1952-53

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Edinburgh A C Aitken (Edinburgh) Positive linear transformations and Markov chains
Edinburgh D E Rutherford (St Andrews) The numerical solution of differential equations
Edinburgh H Popova (Aberdeen) Quasigroups whose logarithmetics are groups;
J M Jackson (University College, Dundee) A physical application of Hankel's inversion theorem
Edinburgh L M Brown (Edinburgh) What is a circle?
Edinburgh M J Lighthill (Manchester) Sound generated aerodynamically
Edinburgh E Wolf (Edinburgh) The circle polynomials of Zernike
St Andrews W Ledermann (Manchester) The birth and death process in an unlimited population

1953-54

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Edinburgh T S Graham (Glasgow) Power associative algebras
Edinburgh M Macbeath (Dundee) Averaging methods in the geometry of numbers
Edinburgh A Nisbet (Edinburgh) Linearly polarised time-harmonic electromagnetic waves of arbitrary form;
E M Patterson (Aberdeen) Lie algebras of dimension three
Edinburgh W J Donaldson The teaching of calculus in schools
Edinburgh J C Gunn (Glasgow) Group theory in nuclear physics
Edinburgh D Borwein (St Andrews) On the abscissae of the summability of a Dirichlet series;
Robertson Unconditional convergence
St Andrews J Hunter (Glasgow) Minimum discriminants of algebraic number fields

1954-55

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Edinburgh H S A Potter (Aberdeen) Some applications of lattice theory
Edinburgh A G Vosper (Dundee) The measure of sum-sets of p-adic numbers
Edinburgh T Scott (Heriot-Watt College, Edinburgh) Notes on a pentahedral net of quadrics;
W Robertson On linear topological spaces
Edinburgh R Schlapp (Edinburgh) Teaching of elementary dynamics; Sowery, Teaching of elementary dynamics;
Smith (Inspector of Schools) Teaching of elementary dynamics
Edinburgh N Kemmer (Edinburgh) The success of bad mathematics in modern physics
Aberdeen E M Wright (Aberdeen) The roots of a certain transcendental equation
St Andrews R A Rankin (Glasgow) Hyperbolic geometry of numbers

1955-56

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Edinburgh E T Copson (St Andrews) The wave-equation - second thoughts on an old topic
Edinburgh D B Scott (King's College, London) Infinitely near points
Edinburgh E F Collingwood (Durham) Some boundary properties of analytic functions
Edinburgh T S Graham (Glasgow) From school to university mathematics;
L M Brown (Edinburgh) From school to university mathematics
Edinburgh W K Heisenberg (Göttingen) The present position in the theory of elementary particles
Edinburgh D C Gilles (Glasgow) Some elements of the development of automatic computing
St Andrews J L Britton (Glasgow) An unsolved problem in the theory of ordered groups;
B Noble (Royal College of Science and Technology, Glasgow) An alternative to relaxation methods

1956-57

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Edinburgh R Smart (Heriot-Watt College, Edinburgh) Oliver Heaviside
Edinburgh B H Neumann (Manchester) Plane polygons
Edinburgh F Bonsall (Newcastle) Banach spaces - a survey lecture
Edinburgh E A Maxwell (Queen's College, Cambridge) Facts and fancies
Edinburgh A E Green (Newcastle-upon-Tyne) Large elastic deformations - a survey
Glasgow D G Kendall (Magdalen College, Oxford) Ergodic theorems for Markov processes
Edinburgh G Temple (Oxford) Whittaker's work on the integral representation of special functions
St Andrews W L Edge (Edinburgh) Baker's property of the Weddle surface

1957-58

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Edinburgh R D Lord (Royal College of Science, Glasgow) Hankel transforms and some boundary-value problems
Edinburgh H Davenport (University College, London) The applications of analysis to the theory of numbers
Edinburgh D J Finney (Aberdeen) A mathematical problem of genetic equilibrium
Edinburgh I R Vesselo (Cheshire Training College) Mathematical films
Edinburgh B Meltzer (Edinburgh) The mathematics of electron flow
Glasgow D G Northcott (Sheffield) The modern theory of syzygies
St Andrews Rutherford Aris (Edinburgh) Some remarks on diffusion problems;
C St J A Nash-Williams (Aberdeen) Random walk in infinite networks

1958-59

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Edinburgh R A Rankin (Glasgow) Interval functions and their applications
Edinburgh B Noble (Royal College of Science, Glasgow) Diffraction by strips and discs
Edinburgh L E Payne ((Maryland) Isoperimetric inequalities and approximation methods
Edinburgh T A A Broadbent (Royal Naval College, Greenwich) Biped mathematics
Edinburgh A G Walker (Liverpool) Harmonic spaces
Glasgow M S Bartlett (Manchester) The mathematical theory of epidemics
St Andrews C Dixon (Dundee) Convection of fluids

1959-60

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Edinburgh J M Jackson (University College, Dundee) Fourier transforms and the equations of motion of a continuous medium
Edinburgh A C Aitken (Edinburgh) James Stirling
Edinburgh A G Mackie (St Andrews) Some aspects of free streamline problems in fluid dynamics;
J B McLeod (Edinburgh) Four inequalities in Symmetric functions
Edinburgh P L Taylor (Metropolitan Vickers, Manchester) Mathematics in industry
Edinburgh H A Brück (Astronomer Royal for Scotland) Problems of galactic structure
Glasgow R J Duffin (Carnegie Technological Institute, Pittsburg) Networks, difference equations and continua
St Andrews T M Flett (Liverpool) The summability of a power series on its circle of convergence

1960-61

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Edinburgh I N Sneddon (Glasgow) Mixed boundary problems
Edinburgh G E H Reuter (Durham) Sample functions of Markov processes
Edinburgh W D Munn (Glasgow) Some results on inverse semigroups;
R P Pearce Vorticity in the atmosphere
Edinburgh J H Smith (H M Inspectorate of Schools) Senior Secondary School Mathematics
Edinburgh S Colombo (Paris) Solutions of Volterra's Equations with logarithmic kernels
Glasgow H Heilbronn (Bristol) Averaging arithmetical values of two variables
St Andrews D Stone (Manchester) Some aspects of measure theory

1961-62

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Edinburgh D Martin (Glasgow) Some topics in differential geometry in the large
Edinburgh A J White (Aberdeen) Spherical summation of multiple Fourier series;
J L Smyrl (Royal College of Science, Glasgow) The impact of a shock-wave on a thin wedge moving at supersonic speed
Edinburgh W K Hayman (Imperial College, London) Circles, spheres and condensers
Edinburgh F W Land (Hull) A background for mathematics teaching
Edinburgh R L Goodstein (Leicester) Formalisations of recursive arithmetic
Dundee M Macbeath (Dundee) Non-euclidean geometry
Glasgow J D Weston (Newcastle-on-Tyne) A theory of operational calculus
St Andrews D S Jones (Keele) Some boundary value problems in the theory of diffraction

1962-63

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Edinburgh S Read Some thoughts on closing the gap between school and university mathematics
Edinburgh H Halberstam (Dublin) Perfect difference sets
Edinburgh S Swierkowski (Glasgow) Some problems involving translations, rotations and reflections;
J D Lambert (St Andrews) Finite difference techniques of increased accuracy
Edinburgh D A Quadling (Marlborough) Current developments in school mathematics
Edinburgh R Giles (Glasgow) Modern mathematics and the foundations of physics
Glasgow D Monk (Edinburgh) Unexceptional models in algebraic geometry: a survey of recent results
St Andrews F Ursell (Manchester) Short-wave asymptotics - a class of singular perturbation problems

1963-64

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Edinburgh D C Pack (Dundee) Mathematicians at Anderson's University
Edinburgh D R Cox (Birbeck, London) Some industrial applications of the theory of probability
Edinburgh J M Howie (Glasgow) Congruences on inverse semigroups;
E J Squires Elementary particles and asymptotic limits of scattering amplitudes
Edinburgh D Donald The teaching of sets in schools;
W T Blackburn The teaching of groups in schools;
W More The teaching of vectors in schools
Edinburgh W N Everitt (Dundee) The use of classical and functional analysis in eigenfunction expansion
Dundee J L Synge (Dublin Institute for Advanced Studies) The Hamiltonian method and its application to water waves
Glasgow C A Rogers (University College, London) Sections and projections of convex bodies
St Andrews W Ledermann (Sussex) Recent progress in the theory of finite groups

1964-65

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Edinburgh D E Rutherford (St Andrews) Boolean matrices
Strathclyde T R F Nonweiler (Glasgow) The design of wings for high speed flight
Edinburgh A Erdélyi (Edinburgh) Axially symmetric potentials
Edinburgh J Duncan (Aberdeen) Dual representations of Banach algebras;
T West Riesz operators
Edinburgh A G Sillitto A view of school geometry
Dundee P M Cohn (Queen Mary College, London) Rings with a weak algorithm
Edinburgh R A Rankin (Glasgow) Some conjectures of J W L Glaisher
Aberdeen S Wylie (GCHQ) The Travelling Salesman and Related Problems
St Andrews M F Atiyah (Oxford) A Lefschetz fixed point formula for elliptic operators

1965-66

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Edinburgh E M Patterson (Aberdeen) (Presidential address) Pseudo-rings
Glasgow A R Mitchell (St Andrews) Some recent advances in the numerical solution of partial differential equations
Edinburgh F F Bonsall (Edinburgh) The stability of a wedge under continuous transformations
Edinburgh T J Willmore (Durham) Convex immersions
Edinburgh(joint with the Edinburgh Mathematical Association)
K A H Gravett (Oxford) Mathematics as logic
Dundee W D Collins (Strathclyde) Hyperbolic systems of equations in applied mathematics
London
Burlington
House
(joint with the London Mathematical Society)
H Flanders (Purdue) Aspects of the differential geometry of hypersurfaces
A M Macbeath (Dundee) Topological lattices of subgroups
Aberdeen K Yano (Tokyo Institute of Technology) Almost complex and almost contact spaces
St Andrews C A Coulson (Oxford) Lower bounds to eigenvalues

1966-67

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Edinburgh E A McHarg (Glasgow) (Presidential address) Some problems in differential equations
Edinburgh D S Butler (Strathclyde) Applications of numerical analysis to non-continuum flow
Dundee J R Ringrose (Newcastle-upon-Tyne) Representations of operator algebras
Strathclyde R S Scorer (Imperial) Unstable centrifugal forces
Edinburgh(joint with the Edinburgh Mathematical Association)
J V Armitage (Durham) The place of geometry in schools
EdinburghGoldie A W (Leeds) A survey of non-commutative noetherian rings
Aberdeen J B McLeod (Oxford) Regge poles and Hilbert-Schmidt operators
St Andrews H S M Coxeter (Toronto) The abstract group G{3,9,10}G^{\{3,9,10\}}

1967-68

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Edinburgh J Fulton (Edinburgh) (Presidential address) The QD algorithm
Edinburgh S D Silvey (Glasgow) Optimum regression designs for convex loss functions
Edinburgh M E Noble (University of Kent) Interpolatory function theory
Dundee P Chadwick (University of East Anglia) Mixtures of two continua
Edinburgh(joint with the Edinburgh Mathematical Association)
G Matthews (Nuffield Foundation) From cradle to college
Glasgow H C Longuet-Higgins (Edinburgh) A mathematical theory of temporal recall
Aberdeen M M Robertson (Surrey) Identities associated with Farey sequences
St Andrews E C Zeeman (Warwick) Thom's theory of catastrophes

1968-69

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Edinburgh R P Gillespie (Glasgow) (Presidential address) The problem of Bolza
Heriot-Watt A H Zemanian (SUNY, on leave at Edinburgh) The Hankel transformation of generalized functions
Edinburgh L Fox (Oxford University Computing Laboratory) How to obtain meaningless numerical answers
Strathclyde J W Craggs (Leeds) Elementary solutions of partial differential equations
Edinburgh(joint with the Edinburgh Mathematical Association)
R R Skemp (Manchester) Psychological foundations of learning mathematics
Aberdeen A M Macbeath (Birmingham) Galois theory and modular functions
Stirling P Hall (Cambridge) Some advances and retreats in the study of simple groups
St Andrews R A Rankin (Glasgow) Designs

1969-70

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Edinburgh R Schlapp (Edinburgh) (Presidential address) Aspects of dynamical stability
Glasgow H J Godwin (Swansea) Work on Euclid's algorithm
Edinburgh R W Carter (Warwick) Geometrical structures associated with simple groups of Lie type
Edinburgh A G Mackie (Edinburgh) Some pure and applied mathematical problems on the borders of particle and continuum mechanics
Edinburgh A J White (Aberdeen) The structure semigroup of a measure algebra
Dundee J Eells (Warwick) Fredholm structures
Aberdeen J L Britton (Kent) Recent results on the Burnside problem
St Andrews C T C Wall (Liverpool) Transversality

1970-71

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Edinburgh J Hunter (Glasgow) (Presidential address) Some thoughts on Fermat's Last Theorem
Strathclyde A Jeffrey (Newcastle) Dispersion in non-linear waves
Edinburgh J E Reeve (King's College London) Some reflections on the cubic curve
Heriot-Watt E R Lapwood (Cambridge) The earth as a giant bell
Edinburgh H Jack (Dundee) Integrals of functions of matrix argument
Dundee C A B Smith (University College London) Genetics, evolution and some related and unrelated mathematics
Stirling J G Thompson (Cambridge) Finite simple groups - some special cases
Edinburgh R Brauer (Harvard) (Hardy Lecturer) Some problems in the theory of finite groups
St Andrews J F C Kingman (Oxford) Markov transition functions

1971-72

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Edinburgh W N Everitt (Dundee) (Presidential address) A return to an inequality in Hardy, Littlewood and Polya
Glasgow B E Johnson (Newcastle-upon-Tyne) Amenable algebras
Edinburgh H K Moffatt (Cambridge) Knotted vortex lines - the clue to dynamo action
Edinburgh R L E Schwarzenberger (Warwick) Topological problems in mathematical crystallography
Heriot-Watt J Aitchison (Glasgow) Hippocratic school geometry
Dundee F M Arscott (London) Orthogonal polynomials in several variables
Aberdeen J M Howie (St Andrews) Products with amalgamation in groups, rings and semigroups
Stirling F Smithies (Cambridge) Semigroups of linear operators

1972-73

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Edinburgh A Erdélyi (Edinburgh) (Presidential address) Singular perturbations
Strathclyde R J Knops (Heriot-Watt) Qualitative behaviour in the theory of elasticity
Edinburgh J C Robson (Leeds) The language of noetherian rings
Heriot-Watt R Fletcher (Dundee) Exact penalty functions - the philosopher's stone
Edinburgh A J MacIntyre (Aberdeen) Isomorphism theorems in model theory
Stirling P Whittle (Cambridge) Optimal stopping problems
Aberdeen P R Halmos (Indiana) Non-commutative approximation theory
St Andrews R Rado (Reading) Families of sets
EdinburghRota G -C (MIT) (Hardy Lecturer) Enumeration and the calculus of finite differences

1973-74

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Edinburgh W D Collins (Strathclyde) (Presidential address) Time optimal control of a crane
Glasgow C St J A Nash-Williams (Aberdeen) Some recent milestones in graph theory
Edinburgh J D P Meldrum (Edinburgh) Near-rings and groups
Edinburgh P D Robinson (Bradford) Dual variational principles and Padé-approximant bounds
Edinburgh D J S Robinson (Illinois at Urbana-Champaign) Splitting theorems and the vanishing of certain cohomology groups
Dundee J H Wilkinson (National Physical Laboratory) How small is zero? A central problem in numerical analysis
Aberdeen G R Allan (Cambridge) Integral formulae in several complex variables
St Andrews T Brooke Benjamin (Essex) Modern mathematics and mechanics

1974-75

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Edinburgh J M Howie (St Andrews) (Presidential address) Varieties
Strathclyde R Sibson (Cambridge) Metrics and distances
Edinburgh J A Mirrlees (Oxford) The mathematical economics of taxation and punishment
Heriot-Watt J G Taylor (King's College, London) Black holes and gravity
Edinburgh J Duncan (Stirling) Cauchy and Banach
Dundee K W Morton (Reading) Finite difference and finite element methods
Stirling E G Rees (Oxford) When are two maps homotopic?
St Andrews G Higman (Oxford) Infinite simple groups

1975-76

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Edinburgh R J Knops (Heriot-Watt) (Presidential address) Non-linear elasticity
Glasgow A R Mitchell (Dundee) The finite element method - success or failure
Edinburgh G E Wall (Sydney) The functional equation of the exponential function in non-commutative variables
Newcastle-
upon-Tyne
(Joint meeting with the LMS)  A Erdélyi (Edinburgh) Integral transforms of generalized functions
G Brown (New South Wales) Convolutions of measures
Edinburgh R F Streater (Bedford College, London) Classical and quantum probability
Dundee D L Colton (Glasgow) Integral operators and partial differential equations
Aberdeen W Ledermann (Sussex) Schur's multiplier
Stirling S A Robertson (Southampton) Mobility in classical geometry and in categories

1976-77

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Edinburgh D A R Wallace (Strathclyde) (Presidential address) Polynomials and group rings
Strathclyde D S Jones (Dundee) Aerodynamic noise
Edinburgh T S Blyth (St Andrews) Residuated mappings
Heriot-Watt J R Ringrose (Newcastle-upon-Tyne) Recent developments in operator algebras
Edinburgh S J Taylor (Lancaster) Small sets in potential theory and probability
Stirling R W Richardson (Durham) An application of the Serre conjecture to semisimple algebraic groups
Aberdeen G F Roach (Strathclyde) Multiparametric problems
St Andrews J A Green (Warwick) Modular representations

1977-78

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Edinburgh F F Bonsall (Edinburgh) (Presidential address) Operator representations and analogies
Edinburgh M J D Powell (Cambridge) Numerical methods for nonlinear constraints in optimization calculations
Glasgow J M Ball (Heriot-Watt) Compensated compactness
Edinburgh J H Williamson (Reading) IN groups, SIN groups, and some others
Edinburgh A W Goldie (Leeds) Some recent developments in non-commutative ring theory
Dundee D Martin (Glasgow) Black holes
Aberdeen R A Rankin (Glasgow) Differences between primes: a survey
St Andrews J S Rose (Newcastle-upon-Tyne) Some naive approaches to the problem of group extensions

1978-79

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Edinburgh A D Sands (Dundee) (Presidential address) Radicals of rings
Strathclyde J B McLeod (Oxford) The Korteweg-de Vries equation and connection problems for ordinary differential equations
Edinburgh(meeting held in memory of the late Professor Arthur Erdélyi)
I N Sneddon (Glasgow) Some aspects of the life and work of Arthur Erdélyi
Newcastle-
upon-Tyne
(Joint meeting with the LMS)
A S Wassermann (Glasgow) Classes of well-behaved C*-algebras
M F Atiyah (Oxford) The Yang-Mills equations, Morse theory and the Weil conjectures
Heriot-Watt P M Neumann (Oxford) A problem of nineteenth century group theory
Dundee P Chadwick (East Anglia) Continuum theories of rubber like solids
Stirling B Bollobás (Cambridge) The structure of graphs
St Andrews E B Dynkin (Cornell) (Hardy Lecturer) Time-reversibility of stochastic processes and duality in probability theory and analysis

1979-80

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Edinburgh R A Rankin (Glasgow) (Presidential address) The Edinburgh Mathematical Society - the first fifty years
Stirling P J Cameron (Oxford) Multiple transitivity in graphs
Edinburgh A F Beardon (Cambridge) Negative curvature and complex analysis
Edinburgh J Wiegold (University College, Cardiff) Problems about generating simple groups
Edinburgh W A Sutherland (Oxford) Manifolds and bundles: an expository talk
Dundee D E Edmunds (Sussex) Spectral asymptotics
Aberdeen B D Sleeman (Dundee) Non-well posed problems for the wave equation
Glasgow R Penrose (Oxford) Several complex variable theory and theoretical physics: some new developments

1980-81

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Edinburgh T S Blyth (St Andrews) (Presidential address) Pseudocomplements
Strathclyde D R J Chillingworth (Southampton) Loss of stability, bifurcation and a topological index
Edinburgh I G Macdonald (Queen Mary College, University of London) The Baker-Campbell-Hausdorff formula
Heriot-Watt E C Lance (Leeds) K-theory in geometry, algebra and analysis
Edinburgh D R Woodall (Nottingham) How to divide a cake fairly
Stirling J F Adams (Cambridge) Triviality, Spin(8) , F4F_{4}, the Cayley projective plane and all that
Aberdeen L E Fraenkel (Sussex) Dirichlet's principle and the Sobolev space w21w^{1}_{2} : a meeting ground of pure and applied mathematics
St Andrews D J H Garling (Cambridge) Complex convexity
Edinburgh E Bombieri (Princeton) (Hardy Lecturer) Minimal submanifolds and variational problems

1981-82

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Edinburgh J Duncan (Stirling) (Presidential address) Semi-group algebras
Glasgow D Williams (Swansea) Wiener-Hopf factorization of matrices and operators
Edinburgh J D Lambert (Dundee) Numerical analysis - an extension of the calculus?
Edinburgh A M Sinclair (Edinburgh) Wiener's Tauberian theorem and the Gaussian semigroup
Edinburgh F J Ursell (Manchester) Uniform asymptotics of integrals
Dundee N J Young (Glasgow) Power transfer and the non-Euclidean geometry of operators
Aberdeen D G Northcott (Sheffield) Familiar and unfamiliar aspects of linear algebra
St Andrews I N Stewart (Warwick) Hopf bifurcation writ large

1982-83

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Edinburgh G F Roach (Strathclyde) (Presidential address) Modified Green's functions and null field methods
Strathclyde R F Churchhouse (Cardiff) The (re-)discovery and (new) proof of two continued fractions of the Rogers-Ramanujan type
Edinburgh D C Pack (Strathclyde) Complementary variational principles and the estimation of flux
Edinburgh
New Senate
Hall
(The Centenary Meeting and Dinner)
M F Atiyah (Oxford) Angular momentum, convex polyhedra and algebraic geometry
Heriot-Watt H G Dales (Leeds) Application of complex analysis to real problems
Dundee C A Stuart (Lausanne) The range of some non-linear differential equations
Stirling K J Devlin (Lancaster) Do mathematicians have GUTS (or what is the connection between very large sets and metric spaces) ?
St Andrews J C Lennox (Cardiff) Grigorchuk's elementary solution of the generalised Burnside problem
Edinburgh J H Tits (Collège de France, Paris) (Hardy lecturer) The Leech lattice

1983-84

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Edinburgh A G Mackie (Edinburgh) (Presidential address) A contour integral equation
Glasgow R Y Sharp (Sheffield) Local rings and generalized fractions
Edinburgh M J Sewell (Reading) A unified approach to maximum and minimum principles
Edinburgh C M Series (Warwick) From Eudoxus to Thurston: continued fractions, lunar cycles and train tracks
Dundee D J Collins (Queen Mary College, London) From topology to groups to graphs
Newcastle-
upon-Tyne
(Joint meeting with the LMS)
G B Segal (Oxford) Loop groups
E Størmer (Oslo) Involutive antiautomorphisms of von Neumann algebras
Stirling C W Clenshaw (Lancaster) Beyond floating point: arithmetic with large numbers
Aberdeen I Anderson (Glasgow) Some recent combinatorial inequalities

1984-85

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Edinburgh I T A C Adamson (Dundee) (Presidential address) Not quite linear
Strathclyde T Brooke Benjamin (Oxford) Advantages of Hamiltonian theories in continuum mechanics
Edinburgh C Maclachlan (Aberdeen) Volumes of hyperbolic manifolds
Heriot-Watt K A Brown (Glasgow) Noetherian rings twenty-five years after Goldie's theorem
Edinburgh C T H Baker (Manchester) Structure in the numerical solution of Volterra integral equations
Stirling J W Moon (Alberta) Random trees and river networks
Aberdeen E G Rees (Edinburgh) Algebraic varieties of matrices
St Andrews D A Rand (Warwick) Universality and chaos in dynamical systems
Edinburgh R H Bott (Harvard) (Hardy Lecturer) What is an instanton?

1985-86

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Edinburgh W D Munn (Stirling) (Presidential address) Inverse semigroups
Glasgow J D Murray (Oxford) Pattern formation mechanisms in developmental biology: analysis and applications
Edinburgh R J Archbold (Aberdeen) Kaplansky's Stone-Weierstrass conjecture
Edinburgh R Fletcher (Dundee) Expected conditioning
Edinburgh J Eells (Warwick) The geometry of Coulomb gauge fields
Dundee J R Whiteman (Brunel) Finite-element methods, including superconvergence, for problems involving singularities
Aberdeen H K Moffatt (Cambridge) The Euler equations of fluid flow - a variational problem under topological constraints
St Andrews J C Robson (Leeds) Projective modules and simple rings

1986-87

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Edinburgh J R Hubbuck (Aberdeen) (Presidential address) H-multiplications on Cartesian products
Strathclyde D G Crighton (Cambridge) Acoustics, asymptotics and applied mathematics
Edinburgh N L Biggs (Royal Holloway and Bedford New College) Regular trees and their quotients
Heriot-Watt B D Ripley (Strathclyde) Pseudorandomness: some unexpected applications of number theory
Dundee J W Bruce (Newcastle upon Tyne) Whatever happened to calculus?
Stirling R Heath-Brown (Oxford) Arithmetic progressions in integer sets
Edinburgh(Joint meeting with the LMS)
E B Davies (London) Heat kernel bounds for Laplace-Beltrami operators and subelliptic operators on manifolds
E M Stein (Princeton) Harmonic analysis on nilpotent groups
M Christ (California, Berkeley) Particularly singular integrals and a ∂- problem
A M Davie (Edinburgh) Fourier analysis of dynamical systems
N Th Varpoulos (Paris) Dirichlet forms on Lie groups
St Andrews D Segal (Oxford) On counting subgroups of finite index, and some rational Poincaré series
Edinburgh M Rabin (Harvard) (Hardy Lecturer) Randomized algorithms in number theory

1987-88

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Edinburgh P Heywood (Edinburgh) Ap conditions in harmonic analysis
Glasgow A J Pritchard (Warwick) The distance of a stable matrix from the set of unstable ones
Edinburgh W S Kendall (Strathclyde) Symbolic computation, Ito calculus and the statistics of shape
Edinburgh R W Ogden (Glasgow) Bifurcation phenomena in non-linear elasticity
Edinburgh K J Falconer (Bristol) Fractals: some recent theory and applications
Dundee G S Hall (Aberdeen) Geometry and symmetry in relativity theory
Stirling R B J T Allenby (Leeds) Residual properties of 1-relator groups and 1-relator products
Aberdeen S K Donaldson (Oxford) Quasiconformal 4-manifolds

1988-89

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Edinburgh R M F Moss (Stirling) (Presidential address) Homotopy groups of spheres
Strathclyde J D Gibbon (Imperial College, London) Global attractors and low-dimensional behaviour of partial differential equations
Edinburgh R W Carter (Warwick) Kac-Moody algebras
Heriot-Watt I C Percival (Queen Mary College, London) Chaos in Hamiltonian systems
Edinburgh A Truman (University College, Swansea) Stochastic mechanics and quantum mechanics
Stirling A J R G Milner (Edinburgh) An algebraic theory of communicating automata
Aberdeen J Coates (Cambridge) Iwasawa theory
St Andrews T A Gillespie (Edinburgh) The transfer of inequalities in analysis
Edinburgh V F R Jones (Berkeley) (Hardy Lecturer) Braid group representations in quantum physics

1989-90

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Edinburgh(Presidential address) B D Sleeman (Dundee) Biological complexity and Hamiltonian dynamics
Glasgow T J Lyons (Edinburgh) Brownian motion and stochastic differential equations
Edinburgh P -L Lions (Paris-Dauphine) Recent mathematical results on the Maxwell-Boltzmann equation and related kinetic models
Edinburgh C R Leedham-Green (Queen Mary College, London) A geometrical structure theorem for finite p-groups
Edinburgh C G Gibson (Liverpool) Geometry of robotics
Dundee R M May (Oxford) The transmission dynamics of HIV/AIDS
Aberdeen D G Quillen (Oxford) Index theory, circle actions and cyclic cohomology
St Andrews J Howie (Heriot-Watt) An algorithmic approach to solving equations over groups

1990-91

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Edinburgh J M Ball (Heriot-Watt) (Presidential address) Layers within layers - the calculus of variations and crystal microstructure
Strathclyde T W Körner (Cambridge) Molehills out of mountains
Napier J R Ockendon (Oxford) Free boundary problems in crystal growth and superconductivity
Heriot-Watt J F Cornwell (St Andrews) Quantum groups
Edinburgh I Madsen (Aarhus) The cyclotomic trace and diffeomorphisms of manifolds
Dundee A Spence (Bath) Stable matrices and Hopf bifurcations in large systems, with applications to problems in fluid mechanics
Stirling R Bailey (Goldsmiths' College, London) Latin cubes
St Andrews A O Morris (Aberystwyth) Schur's Q-functions and their applications
Edinburgh H Lawson (Stony Brook) (Hardy Lecturer) Manifolds of positive curvature

1991-92

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Edinburgh E G Rees (Edinburgh) Evolutes, focal sets, and Morse theory
Glasgow D Preiss (University College, London) New results in classical geometric measure theory
Edinburgh R W K Odoni (Glasgow) Monogenic rings of integers
Edinburgh ICMS Edinburgh)
A R Mitchell (Dundee) Attractors in long time numerical solutions of nonlinear systems
R D James (University of Minnesota) Paper folding and the microstructure of crystals
Edinburgh P H Kropholler (Queen Mary and Westfield College) Bounded cohomology
Dundee
Institute of
Technology

A A Lacey (Heriot-Watt University) Blow-up for reaction-diffusion equations
Stirling G R Grimmett (Bristol) Large deviations, and the method of bounded differences
Aberdeen M V Berry (Bristol) Divergent series: reaping Dingle's harvest

1992-93

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Edinburgh W B R Lickorish (Cambridge) The Temperley-Lieb algebra and (quantum) invariants for 3-manifolds
Strathclyde J F Toland (Bath) An extraordinary bifurcation of large amplitude homoclinic orbits for Hamiltonian systems
Glasgow S J Pride (Glasgow) Using pictures to study groups and semigroups
Heriot-Watt S R Bullett (Queen Mary and Westfield College) Geometry and topology of iterated correspondences
Edinburgh T J Ransford (Cambridge) Hausdorff dimension of Julia sets
Stirling D M Titterington (Glasgow) A statistician's perception of perceptrons (neural networks)
Aberdeen A J MacIntyre (Oxford) Logic and real analytic functions
St Andrews I S Duff (Rutherford Appleton Laboratory & C E R F A C S ) Solution of symmetric, indefinite, sparse, linear equations
Edinburgh W Feit (Yale) (Hardy Lecturer) The existence of algebraic number fields with given Galois group and maximal subfields of division rings
Edinburgh(EMS/LMS Popular lectures)
S A Robertson (Southampton) How to see objects in four dimensions
R McN Alexander (Leeds) Optimisation of running and jumping

1993-94

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Edinburgh A C McBride (Strathclyde) A Celebration of R-L Int
Glasgow A H Schofield (Bristol) Ore localisation and universal localisation
Napier P G Drazin (Bristol) Hydrodynamic stability
Edinburgh R J Wilson (Open University) Edge-colourings of graphs
Edinburgh P J Giblin (University of Liverpool) Shape, symmetry and grasp
Dundee N G Lloyd (Aberystwyth) Polynomial differential equations: Hilbert's sixteenth problem
Aberdeen R S Ward (University of Durham) Discrete Sine-Gordon solitons
St Andrews S Wainger (University of Wisconsin) Lebesgue's theorem on the derivative of the integral, Fourier transforms, and some nilpotent Lie groups
Edinburgh(EMS/LMS Popular lectures)
R G Pinch (Cambridge) Fermat's last theorem
C Wright (Solipsys Limited) Juggling

1994-95

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Edinburgh E C Zeeman (Hertford College, Oxford) Controversies in Mathematics; on the ideas of Daniel Bernoulli and René Thom
Strathclyde J N Elgin (Imperial College, London) Perturbations of optical solitons
Edinburgh D McDuff (SUNY at Stony Brook) The geometry of symplectic energy
Heriot-Watt H Ockendon (University of Oxford) The changing face of mathematics in industry
Edinburgh M J Dunwoody (University of Southampton) Ends of graphs and groups
Abertay A D Wood (Dublin City University) Stokes phenomenon demystified
Stirling C J H McDiarmid (University of Oxford) Random graph colouring
St Andrews M A Berger (University College, London) Topological invariants of vector fields
Edinburgh K R Parthasarathy (Indian Statistical Institute, Delhi) (Hardy Lecturer) What is a quantum Markov process?
Edinburgh(EMS/LMS Popular lectures)
P T Saunders (King's College, London) Measuring the Marigold
N Ray (Manchester) Wild Geometry

1995-96

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Edinburgh A D D Craik (St Andrews) Tradition and innovation: Scottish mathematics of the early 19th Century
Glasgow A W Reid (Cambridge) p-adic Lie groups in low-dimensional topology
Edinburgh D J A Welsh (Oxford) Polynomials of knots, colourings and codes and their complexity
Edinburgh J K Langley (Nottingham) Value distribution of meromorphic functions and some connections with iteration
Dundee J Carr (Heriot-Watt) Self-similarity in coarsening models
Stirling P J Rippon (Open University) Some geometric properties of quadratic Julia sets
Glasgow(Joint meeting with London Mathematical Society)
J -E Pin (Paris VI, LITP and CRNS) Automata, finite semigroups and the Hall topology for the free group
C Maclachlan (Aberdeen) Bianchi groups and quadratic forms
A Lubotsky (Jerusalem) Subgroup growth: the gap problem
K R Goodearl (Santa Barbara) Some geometric aspects of quantum coordinate rings
J Rickard (Bristol) Infinite-dimensional representations of finite groups
G Levitt (Toulouse) Elements of finite order in GL(n,Z)GL(n, \mathbb{Z}) and the dynamics of free group automorphisms
Aberdeen N J Hitchin (Cambridge) Theta functions and Riemannian geometry
Glasgow(EMS/LMS Popular lectures)
P J Hilton (SUNY) New wine in old bottles
M J Sewell (Reading) Bubbles and dinosaurs

1996-97

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Edinburgh M F Atiyah (Trinity College, Cambridge) Duality in Mathematics and Physics
Strathclyde C J Budd (Bath) New types of bifurcations in non-smooth problems
Napier S M Rees (Liverpool) Some group actions on the circle
Edinburgh A C Newell (Warwick) The description of natural patterns
Edinburgh S C Power (Lancaster) Towers of finite-dimensional algebras
Stirling A G Thomason (Cambridge) Ramsey's Theorem - then and now
Aberdeen B E Johnson (Newcastle-upon-Tyne) Crossed homomorphisms and group actions in topological spaces
St Andrews T J Laffey (University College, Dublin) The inverse eigenvalue problem for matrices with nonnegative entries
Edinburgh(EMS/LMS Popular lectures)
M D Atkinson (St Andrews) Staying ahead of the opposition
J T Kent (Leeds) How to study random shapes

1997-98

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Edinburgh P F Smith (Glasgow) Division algebras and Forfar
Glasgow J Roe (Oxford) Products in K-theory and K-homology
Heriot-Watt W T Gowers (Cambridge) Arithmetic progressions of length four
Edinburgh E J Hinch (Cambridge) A load of balls in Newton's cradle
Edinburgh M Mendes-France (Bordeaux) Thermodynamics of curves and real zeros of polynomials
Dundee A Iserles (Cambridge) The numerical analysis of differential equations on manifolds
Aberdeen M R Bridson (University of Oxford) The geometry of word problems in groups
St Andrews T O Hawkes (Warwick) Some reflections on character tables
Strathclyde(LMS/EMS Popular Lectures)
T W Körner (Cambridge) Marrying, Voting, Choosing
T J Pedley (Cambridge) Giraffe Blood Flow and Pattern-forming Bacteria

1998-99

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Edinburgh L N Trefethen (Oxford University Computing Laboratory) Schwarz-Christoffel mapping in the computer era
Strathclyde I D Abrahams (Manchester) Matrix Wiener-Hopf factorization with applications in fluid and solid mechanics
Napier C Brezinski (Lille) A historical survey of convergence acceleration methods and Padé approximation
Edinburgh J R Partington (Leeds) Convolutions and complexity
Edinburgh G D James (Imperial College) Symmetric groups and related algebras
Abertay J Sherratt (Heriot-Watt University) Painting by numbers in biology: mathematical modelling of pattern formation
Stirling W Jackson (Goldsmith's College) Applications of graph connectivity to network reliability
Edinburgh D McDuff (SUNY at Stonybrook) (Hardy Lecturer) A survey of symplectic topology
Aberdeen A Rendall (Max Planck Institut, Potsdam) Blow-up singularities in solutions of hyperbolic PDE's and their significance for general relativity
Glasgow(LMS/EMS Popular Lectures)
F Berkshire (Imperial College) Floating, Spinning, Tumbling
C M Series (Warwick) Tangent Circles - Patterns and Packings

1999-00

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Edinburgh C Maclachlan (Aberdeen) Hyperbolic 3-manifolds and arithmetic
Glasgow C Bardos (Paris) Deterministic approach to the limit of a large reversible system
Heriot-Watt D Vassiliev (Bath) The Dirac equation without spinors
Edinburgh M Ainsworth (Strathclyde) Fundamental systems of numerical schemes for linear convection-diffusion equations and their relationship to accuracy
Edinburgh U L Tillmann (Oxford) The moduli space of Riemann surfaces - a homotopy approach
Dundee P K Maini (Oxford) Chemotaxis as a model pattern generator: applications to snakes, slime, mould, alligators and chickens
Stirling J F McKee (Oxford) Pisot numbers with negative trace
St Andrews G A Margulis (Yale) Diophantine approximation, lattices and flows on homogeneous spaces
Strathclyde(LMS Popular Lectures)
J Barrow (Cambridge) Simplicity and complexity
K J Falconer (St Andrews) Fractals - the New Geometry

2000-01

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Edinburgh L H Kauffman (University of Illinois at Chicago) Virtual knot theory
Strathclyde D F Griffiths (Dundee) Mixed finite element methods, stability and related issues
Napier W A Light (Leicester) Approximating scattered data with radial basis functions
Edinburgh A M Etheridge (Oxford) Grasshoppers everywhere: evolution in spatially continuous populations
Edinburgh S Donkin (Queen Mary & Westfield College, London) Symmetric and exterior powers
Aberdeen H R Morton (Liverpool) Skein theory and the Murphy operators
Stirling R Hill (Salford) Codes, Lies and Videotape
Edinburgh P Diaconis (Stanford) (Hardy Lecturer) An introduction to random matrix theory
St Andrews H Brezis (Université Pierre et Marie Curie, Paris VI) New thoughts on Sobolev spaces: connections to topology
Strathclyde(EMS/LMS Popular Lectures)
C J Budd (Bath) Simulating the world
P J Cameron (Queen Mary & Westfield) Codes

2001-02

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Edinburgh J Howie (Heriot-Watt) Group theory and three-dimensional manifolds
Glasgow W W Crawley-Boevey (Leeds) Counting representations of quivers
Heriot-Watt M A J Chaplain (Dundee) Aspects of cancer growth: mathematical modelling, mutations and metastases
Edinburgh I B Leader (Cambridge) Discrete isoperimetric inequalities
Edinburgh S B Wiggins (Bath) Arnold diffusion
Dundee E Suli (Oxford) Finite element approximation of partial differential equations: stability, accuracy, adaptability
Aberdeen D Notbohm (Leicester) On the homotopy theory of classifying spaces
Edinburgh A Its (Purdue) (LMS Hardy Lecture) Asymptotics of orthogonal polynomials, the Riemann-Hilbert problem and universality in matrix models
St Andrews G M Stallard (Oxford) Dimensions of Julia sets
Strathclyde(EMS/LMS Popular Lectures)
H Mason (Cambridge) Our dynamic sun
J Silvester (King's College, London) Geometry Ancient & Modern

2002-03

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Edinburgh J H Lint (Technical University of Eindhoven) Recent applications of coding theory
Strathclyde A M Stuart (Warwick) Stochastic behaviour of deterministic systems
Napier D G Dritschel (St Andrews) Intertwining mathematics and numerics in the simulation of atmospheric and oceanic fluid dynamics
Edinburgh J H Davenport (Bath) Recent developments in cryptographic number theory
Stirling M R Jerrum (University of Edinburgh) Computing the permanent: a study in Markov chain Monte Carlo
Abertay J F Toland (University of Bath and ICMS Edinburgh) Linking in the calculus of variations
Edinburgh(joint with the British Society for the History of Mathematics)
J W Searl (Edinburgh) Where do ideas come from?
H Mason (Madras College, St Andrews) J E A Steggall: teaching mathematics 1880-1933
P M Neumann (The Queen's College, Oxford) A discourse concerning algebra: finite fields in nineteenth century algebra
J Stedall (The Queen's College, Oxford) A discourse concerning algebra: John Wallis (1616-1703) and seventeenth century algebra
Aberdeen A Skorobogatov (Imperial) On the Hasse principle for curves and surfaces
Edinburgh(Joint meeting with LMS as part of ICMS Hodge Centenary Conference)
M F Atiyah (Edinburgh) Sir William Hodge - the man and the mathematician
R Penrose (Oxford) Mathematical experiences as a Cambridge research student under William Hodge
F Hirzebruch (Bonn) Hodge numbers, Chern numbers, Catalan numbers

2003-04

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Edinburgh T A Gillespie (Edinburgh) Variations on Hilbert's matrix
Glasgow S E Rees (Newcastle) The fable of the hare and the tortoise; a race between word hyperbolic and nilpotent groups
Heriot-Watt D M Sloan (Strathclyde) On norms of inverses of pseudospectral differentiation matrices
Edinburgh P H Kropholler (Glasgow) Classifying spaces for proper group actions
Edinburgh B M Hambly (Oxford) Directed percolation, queues and random matrices
Dundee J Stark (Imperial) T-cell Fratricide, Homeostasis and HIV
Stirling D R Woodall (Nottingham) Paradoxes of preferential voting
Edinburgh T Tao (University of California Los Angeles) (Hardy Lecturer) Honeycombs and sums of Hermitian matrices
St Andrews R M Thomas (Leicester) Groups and formal languages

2004-05

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Edinburgh J Roe (Penn State University) Manifolds of bounded geometry
Strathclyde I G Graham (Bath) Boundary element methods: analysis of accuracy & complexity
Napier P R Graves-Morris (Bradford) The parameterisation of resonances
Edinburgh E Iriondo (Universidad Autónoma de Madrid) Control: theory and numerics
Edinburgh B J Green (Bristol) Linear equations in the primes: recent progress and future prospects
Aberdeen M Reid (Warwick) Diptych varieties and CC* covers of Mori flips of type A
Stirling J P Keating (Bristol) Random Matrix Theory and the Riemann Zeta Function
St Andrews M Pollicott (Warwick University, visiting Porto) Guessing the size of fractal sets

2005-06

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Edinburgh P Rowlinson (Stirling) Star complements in finite graphs
Glasgow M Liebeck (Imperial College) Probabilistic group theory and Fuchsian groups
Heriot-Watt B Leimkuhler (Leicester) Molecular dynamics in and out of equilibrium
Edinburgh H M Byrne (Nottingham) Multiscale modelling of solid tumour growth
Edinburgh L A Goldberg (Warwick) Markov chains and sampling graph colourings
Dundee N J Higham (Manchester) Four theorems in matrix analysis, with applications
Aberdeen A G Robertson (Newcastle) Trees, buildings and boundaries
St Andrews M Geck (Aberdeen) Canonical bases in representation theory
Edinburgh Y Manin (Max Planck Institute, Bonn) (Hardy Lecturer) Iterated integrals of modular forms and non-commutative modular symbols

2006-07

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Edinburgh A Carbery (Edinburgh) How much mass can you put into space without there being too much in any tube, and why do we care?
Strathclyde A Wathen (Oxford) Matrix iterations and saddle-point systems: from optimization to Navier-Stokes and back
Heriot-Watt C Grebogi (Aberdeen) Chaotic dynamics and modelling
Edinburgh T Bridgeland (Sheffield) Quivers and surface singularities
Edinburgh K M Ball (University College, London) From monotone transportation to geometry and probability
Dundee B Sandstede (Surrey) Dynamics of nonlinear waves
Stirling M R E Proctor (Cambridge) Instabilities of patterns induced by strong spatial resonances
Aberdeen J Chuang (Bristol) Rhombus tilings and tiltings

2007-08

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Edinburgh(Presidential address) C M Campbell (St Andrews) Presentations galore
GlasgowStuart C A (Ecole Polytechnique Fédérale de Lausanne) Buckling and bifurcation
StrathclydeJimack P K (Leeds) Multigrid and nonlinear systems of PDEs
Edinburgh F Kirwan (Oxford) Non-reductive group actions and symplectic implosion
Edinburgh(125th Anniversary Meeting)
M J Taylor (Manchester) Aspects of Galois theory in arithmetic geometry
J F Toland (Bath) A relaxed approach to optimization with geometric constraints
Dundee A Stevens (Max Planck Institute, Leipzig) Mathematical analysis of pattern formation: Turing mechanisms vs local interaction in developing cell systems
Aberdeen A A Ranicki (Edinburgh) The Poincaré duality theorem and its converse
St Andrews C W Parker (Birmingham) Characterizations of simple groups
Edinburgh S Weinberger (University of Chicago and Hebrew University) (Hardy Lecturer) Playing the Novikov game

2008-09

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Edinburgh F Ricci (Scoula Normale Superiore, Pisa) Uncertainty inequalities and semigroups
Glasgow K Hess (Lausanne) Free loop spaces in topology and physics
Edinburgh(Joint EMS/LMS meeting)
A Valette (Neuchâtel) The Haagerup property and its stability properties
E Zelmanov (UC San Diego) Asymptotic properties of finite groups and finite dimensional algebras
L Bartholdi (Göttingen) Automatically presented groups
M R Bridson (Oxford) Dimension, rigidity and fixed point theorems
Heriot-Watt L E Fraenkel (Bath) On the increase in asymmetry of capacity, surface area and the like
Edinburgh C M Linton (Loughborough) Three astronomical anniversaries
Dundee R Ricca (University of Milano-Bicocca) Topology bounds the energy of knots and links
Stirling J R King (Nottingham) Divergent series and the role of exponentially small terms in differential equations
St Andrews A Caranti (Trento) Ciphers and groups

2009-10

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Edinburgh R J Archbold (Aberdeen) Strength of convergence and improper actions of groups
Strathclyde S J Chapman (Oxford) Kelly vs Markowitz: a comparison of alternative systems for maximising gain and minimising risk
Heriot-Watt C J K Batty (Oxford) Functional calculus of unbounded operators
Edinburgh N Snaith (Bristol) (Popular lecture) Hollywood's Hippest Mathematics: random matrices and Riemann zeros
Edinburgh B J Totaro (Cambridge) The Hodge conjecture
Stirling O Diekmann (Utrecht) On delay equations and population dynamics
Aberdeen C Drutu (Oxford) On limit spaces and actions of groups [This meeting was cancelled due to travel difficulties caused by volcanic ash]
St Andrews M Lackenby (Oxford) Classifying knots via Reidemeister moves
Edinburgh H Nakajima (Kyoto) (Hardy Lecturer) Quiver varieties and cluster algebras

2010-11

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Edinburgh B Keller (Paris VII) Quiver mutation and quantum dilogarithm identities
Strathclyde D G Crowdy (Imperial College) Function theory in multiply connected domains
Glasgow J H Maddocks (École Polytechnique Fédérale de Lausanne) meeting cancelled due to adverse weather conditions
Edinburgh M Neunhoffer (St Andrews) (Popular lecture) Sudoku and mathematics
Edinburgh T Tao (UCLA, visiting Newton Institute) Discrete random matrices
Dundee D J Silvester (Manchester) Fast iterative solvers for saddle point problems
Aberdeen I Reiten (Trondheim) Cluster algebras and cluster categories
Stirling S Gourley (Surrey) Modelling the evolution of insecticide resistance in mosquitoes and effective use of insecticides

2011-12

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Edinburgh P Davies (Strathclyde) Numerical approximation of wave scattering problems
Glasgow J H Maddocks (École Polytechnique Fédérale de Lausanne) Optimal packings of tubes, global radius of curvature, and ideal knot shapes
Heriot-Watt B Niethammer (Oxford) Self-similar solutions for Smoluchowski's coagulation equation
Edinburgh S Olhede (UCL) Modulated oscillations
Edinburgh C Wright (Solipsys Limited) (Popular lecture) Juggling: theory and practice
Dundee L Preziosi (Politecnico di Torino) The mathematics of cancer: an overview
Aberdeen N Monod (École Polytechnique Fédérale de Lausanne) Fixed points and derivations
St Andrews P Dehornoy (Caen) Set Theory fifty years after Cohen
Edinburgh E Ghys (Ecole Normale Supérieure de Lyon) (Hardy Lecturer) Monge and optimal transport

2012-13

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Edinburgh R Thomas (Imperial College, London) The Göttsche conjecture
Strathclyde R Craster (Imperial College, London) Vignettes in Mathematics
Heriot-Watt S Howison (Oxford) Games with exhaustible resources
Edinburgh C Donnelly (Imperial College, London) Badger culling and the science led policy challenge
Edinburgh D Bedford (Keele) (Popular lecture) Tales of ants, bricks, bugles, barrels and infinity
Dundee A Marciniak-Czochra (Heidelberg) Mathematical models of fitness selection during cell differentiation and stem cell-initiated cancer development
Stirling N Britton (Bath) Give him our noses and let him go: modelling interspecific kleptoparasitism
St Andrews R Möller (Reykyavik) Visualizing the shape of a group

2013-14

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Edinburgh M A J Chaplain (Dundee) Cucumber, calculus and cancer: a presidential perspective
Strathclyde J Robinson (Warwick) A simple partial differential equation with surprising behaviour
Glasgow I Smith (Cambridge) Symplectic topology of Euclidean space
Edinburgh D Maclagan (Warwick) Geometry of the moduli space of genus zero curves
Stirling J A Plata (Imperial College) Stability and pattern formation in nonlocal interaction models
Edinburgh J D Barrow (Cambridge) (Popular lecture) Maths and sport
Aberdeen P Sniady (Munich) Combinatorics of asymptotic representation theory
St Andrews I Leary (Southampton) Platonic polygonal complexes

2014-15

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Edinburgh T Wooley (Bristol) A translation-invariant perspective on arithmetic (and) harmonic analysis
Glasgow C Stroppel (Bonn) Classical dualities from a modern perspective
Heriot-Watt M Hairer (Warwick) Taming infinities
Edinburgh J Pintz (Renyi Institute, Budapest) Bounded gaps between primes and some old conjectures of Paul Erdős
Edinburgh T Tokieda (Cambridge) (Popular lecture) Science from a sheet of paper
Dundee B Perthame (Paris) Mathematical aspects of tumour growth
Stirling M R Bridson (Oxford) Curvature, complexity and finite shadows of infinite groups
Aberdeen E Breuillard (Paris Sud) Heights in Diophantine geometry, entropy and growth of groups
BarcelonaEMS/SCM (Societat Catalana de Matemàtiques) joint meeting
See THIS LINK

2015-16

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ICMS/
Edinburgh
(Presidential address)
A Carbery (Edinburgh) Analysis, topology and beyond: a reflective perspective on the teaching-research continuum from Bolzano to Guth and Catz
Strathclyde J-F Gerbeau (Inria and Sorbonne Universities UPMC) Approximated Lax pairs for nonlinear evolution equations
ICMS/
Edinburgh
(Joint EMS/LMS meeting)
Mathematical aspects of big data: ¬ 
E Tardos (Cornell) Learning, inference, and efficiency in games
J Brodzki (Southampton) Joining the dots: mathematics of data
I Diakonikolas (Edinburgh) Algorithmic aspects of inference
M Scott (Glasgow) "Size is not all that matters" - scale, variety and complexity of BIG data
I Rivin (St Andrews) Zeolites, experimental mathematics, and other potential applications of data science
R Coifman (Yale) Harmonic analysis and geometry of databases, concept and context dualities
C McDiarmid (Oxford) Random graphs from structured classes
C Cartis (Oxford) The power of optimization algorithms - tractability and and scalability for large problems
ICMS/
Heriot-Watt
L Saint-Raymond (ENS Paris / Harvard) Linear fluid models as scaling limits of interacting systems of particles
Edinburgh R Twarock (York) (Popular lecture) Geometry: a secret weapon in the fight against viruses
Dundee C Bris (Ecole des Ponts and Inria, Paris) Modern materials science: mathematical theory and computational approaches
Aberdeen S Eilers (Copenhagen) The complete classification of Cuntz-Krieger algebras
St Andrews M Zähle (Jena) Geometry past and present - a stroll through curved spaces

2016-17

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ICMS/
Edinburgh
J Pach (Renyi Inst Budapest and EPFL Lausanne) Towards a Semi-Algebraic Combinatorics
Strathclyde I Graham (Bath) Solving the Helmholtz equation at high frequency
Stirling J Kratochvil (Charles University, Prague) Geometric Representations of Graphs: Partial Extensions versus Simultaneous Embeddings
Edinburgh N Monod (EPFL Lausanne) (Popular Lecture) 1+1=1, or the Banach-Tarski paradox
ICMS/ Edinburgh D Buck (Imperial College, London) Knotted DNA: Mathematical Models and Biological Consequences
Glasgow Vaughan Jones (Vanderbilt and Newton Institute) A machine for constructing representations of R Thompson's groups, unitary and otherwise
St Andrews T Jordan (Bristol) Multifractal analysis beyond uniform hyperbolicity
Dundee R Ghrist (Pennsylvania) Topological Inference from Data
ICMS/ EdinburghEMS/SCM (Societat Catalana de Matemàtiques) joint meeting
See THIS LINK

2017-18

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ICMS/
Edinburgh
(Presidential address)
I Strachan (Glasgow) Miura maps: from the Union Canal to quotient singularities
St Andrews G Heijst (TU Eindhoven) The behaviour of vortex structures near solid obstacles
ICMS/
Heriot-Watt
C-B Schönlieb (Cambridge) Model-based learning in imaging
ICMS/ Edinburgh L Vega (Basque Country) The Vortex Filament Equation: the Talbot effect and the transfer of energy and momentum
Edinburgh J Grime (Cambridge) Alan Turing and the Enigma Machine
Glasgow N Snashell (Leicester) Koszul Algebras, cohomology and support varieties
Aberdeen U Bader (Weitzmann Institute) The Ergodic Method for Linear Groups
Stirling J White (Bath) What makes a good drug for transdermal delivery or monitoring? Insights from mathematical modelling
Glasgow M A J Chaplain (St Andrews) Mathematical Modelling, Mutations and Metastases: Can We Cure Cancer with Calculus? 

2018-19

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Edinburgh R Marsh (Leeds) Frieze patterns of integers
Stirling T Zastawniak (York) Branching processes representation of solutions to non-linear Dirac equations
ICMS/
Heriot-Watt
J Quastel (Toronto & Newton Institute) The KPZ fixed point
Glasgow G Stallard (Open University) Complex dynamics: the intriguing case of wandering domains
Strathclyde P -G Martinsson (Texas) Randomised algorithms for large scale linear algebra and data analytics
Dundee O Pironneau (Paris VI) Mathematics and Supercomputing
Aberdeen S Kuhlmann (Konstanz) Automorphism groups of fields of generalised series

2019-20

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St Andrews D Acheson (Oxford) Mathematics, Magic and Playing the Guitar
ICMS/
Edinburgh
(Presidential Address)
Ineke De Moortel (St Andrews) Our dynamical sun: a 21st Century view
Dundee M Pulvirenti (Rome I) Scaling limits and derivation of effective equations for particle systems
ICMS/
Edinburgh
B Leclerc (Caen) Real elements of crystal bases and their categorification
Strathclyde Z Strakos (Prague) Sensitivity of Gauss quadrature to changes in the distribution function - an issue that has been missed?
ICMS/
Heriot-Watt
F Otto (Max Planck Institute, Leipzig) Effective behavior of random media
Aberdeen G Mikhalkin (Geneva) [Cancelled due to coronavirus]
St Andrews R Twarock (York) [Cancelled due to coronavirus]
K Falconer (St Andrews) Symmetry and Enumeration of Fractals [online]

2020-21

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Online S Carr (Bays Consulting) What is the best super power?
Online J Maynard (University of Oxford) Approximating real numbers by fractions
Online J Carrillo (University of Oxford) Nonlinear Aggregation-Diffusion Equations: Gradient Flows, Free Energies, and Phase Transitions
Online S Vaes (KU Leuven) Ergodic theory without invariant measures
Online D Barkley (University of Warwick) A fluid mechanic's analysis of the teacup singularity
Online A Skeldon (University of Surrey) Mathematical modelling of the sleep-wake cycle: light, clocks and societal rhythms
Online R Twarock (University of York) Mathematical Virology: Geometry as a key to the virosphere
Online G Mikhalkin (University of Geneva) Commutative and non-commutative amoebas
Online E Estrada (IFISC, University of the Balearic Islands) Postcards from network theory


Written by CMC/JOC/EFR