Edinburgh Mathematical Society Lecturers 1883 2023
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 the present day.
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.
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 2021 2022 2023  
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 NinePoint 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  
188384  Back to the top 
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 2nsided 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  
188485  Back to the top 
Edinburgh  J S Mackay (The Academy, Edinburgh) The shoemaker's knife 
Edinburgh  P Alexander Failing cases of Fourier's doubleintegral 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 doubleintegral 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 $0^{0}$ 
J Alison (Edinburgh Academy) The socalled Simsonline  
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 $x^{m}(a + b x^{n})^{p}dx$  
T Muir (Glasgow High School) Historical note on the socalled Simson line  
J S Mackay (The Academy, Edinburgh) Mnemonics for $\pi, 1/\pi, e$  
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 coordinates 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  
188586  Back to the top 
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  
188687  Back to the top 
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 sinetripleangle 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 $\Delta ^{n}O^{m}/n^{m}$ 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 ninepoint circles  
188788  Back to the top 
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 $mx^{m1}(x1) < x^{m}1 < m(x1)$ 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 ninepoint 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 
188889  Back to the top 
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 $\cos 2\pi/17$ 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 $x^{p} 1 = 0$, 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  
188990  Back to the top 
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 threebar 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 nonlinear arrangements of eight men on a chessboard 
C Chree (Kew Observatory) On the equations of vortex motion, with special reference to the use of polar coordinates  
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 (HeriotWatt 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  
189091  Back to the top 
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 $lx + my + nz = 0$ should be a normal to the conic $(a, b, c, f, g, h)(x, y, z)^{2} = 0$ the coordinates 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 $√\{(x  a) (x  b)\} + √\{(x  c) (x  d) \} = e$  
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 $\cos x = x$  
J S Mackay (The Academy, Edinburgh) The Wallace line and the Wallace point  
A J Pressland (Edinburgh Academy) Note on an equation of motion  
189192  Back to the top 
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 $(1 + x)^{n}$ 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 elevenpoint 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 nonlinear 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 $\int \log \{(x  a \cos t)^{2}+ (y  b \sin t)^{2}\} \cos(or \sin) mt dt ($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  
189293  Back to the top 
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 coordinates 
J S Mackay (The Academy, Edinburgh) History of the ninepoint 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 
189394  Back to the top 
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 circumhyperbolas  
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  
189495  Back to the top 
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 ninepoint 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: conormal points  
W Peddie (Edinburgh) Coloursensation and colourblindness 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 $(a, b, c, d, f, g, h, u, v, w)(x, y, z, l)^{2}= 0$  
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 $2^{m}n$gons applied to finding $1/\pi$ 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  
189596  Back to the top 
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 fourdimensional figures 
Edinburgh  J E A Steggall (University College, Dundee) Note on the formula for $\tan(A+B)$ 
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 NewtonLeibnitz controversy) of Cantor's 'Vorlesungen über Geschichte der Mathematik, Dritter Band' 
189697  Back to the top 
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 $3\theta$ and $5\theta$  
R V Aiyar (Trichinopoly, India) A general theorem on the ninepoints 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 $1  2 x^{n}\cos \alpha + x^{2n}$  
Edinburgh  R F Muirhead (Glasgow) A geometrical theorem with application to the proof of the collinearity of the midpoints 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  
189798  Back to the top 
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 wavesurface 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 transformationsequence  
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'  
189899  Back to the top 
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 eightqueens' 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  
189900  Back to the top 
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  
190001  Back to the top 
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 coordinates, 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 ninepoint 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 wellstirred 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 semiinfinite plane  
190102  Back to the top 
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 
Glasgow  Discussion 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 pointcharges or ideal magnets, with an extension to continuous distributions  
190203  Back to the top 
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 $\cos x = x$ 
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 midpoints of the three diagonals of any quadrilateral are collinear  
Edinburgh  W A Lindsay (Free Church Training College, Glasgow) A discussion on 'the coordination of the teaching of practical and theoretical geometry' 
190304  Back to the top 
Edinburgh  É Collignon (Ponts et chaussées) Remarques sur l'intégration des fonctions $\alpha^{n}\cos \alpha d\alpha, \alpha^{n}\sin \alpha d\alpha$ 
G A Gibson (Glasgow) Note on M Collignon's paper on the integration of $\alpha^{n}\cos \alpha d\alpha and \alpha^{n}\sin \alpha d\alpha$  
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 $\\co\sec x, \sec x, \cot x$ and $\tan x$  
D K Picken (Victoria College, Wellington, New Zealand) Note on the method of finding the particular integral of the differential equation $f (D) y =$  
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 basicsine 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 textbooks 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 Besselfunctions  
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  
190405  Back to the top 
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 $2^{p} 1$  
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 semicubical 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 $\Sigma \alpha^{r}$ in terms of the coefficients of an equation  
Edinburgh  J S Mackay (The Academy, Edinburgh) Bibliography of the envelope of the Wallace line: the threecusped 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  
190506  Back to the top 
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 coefficients  
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 $\int (Lx + M)/[(Ax^{2}+ 2Bx + C)^{m}√(ax^{2}+ 2bx + c)] dx$ 
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 ninepoint 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 nic 
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  
190607  Back to the top 
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 coordinates 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 envelopeinvestigation 
R V Aiyar (Trichinopoly, India) On the 'e' inequality  
D C McIntosh (Ladies' College, Edinburgh) On the teaching to beginners of such transformations as $(a) = +a$  
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 areatheory 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  
190708  Back to the top 
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 $\{x^{2n+1}k ± 1\} /\{x^{k}± 1\}$  
T H Miller (Training College, Isleworth) A problem in the theory of numbers  
190809  Back to the top 
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 $\pi/4$  
190910  Back to the top 
Edinburgh  R F Muirhead (Glasgow) On Wilkinson's method of treating the ninepoints 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 fourtangent 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 threecusped 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 coordinates  
Glasgow  R C Archibald (Brown University, Providence, Rhode Island, USA) Historical note on Wallace's line 
H S Carslaw (Sydney, Australia) The BolyaiLobatschewsky nonEuclidean 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 $(abcfgh)(xyz)^{2} \lambda(x^{2}+ y^{2}+ z^{2})$  
Edinburgh  G E Crawford (Clifton, Bristol) Properties of quadrilaterals and fivepoint 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  
191011  Back to the top 
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 threepoint 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) Endtoend focal chords in an ellipse  
W P Milne (Clifton College, Bristol) The focal and bitangent properties of bicircular quartics  
191112  Back to the top 
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 nic, 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 $\phi(x, y, z, \lambda) = 0$ 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 bicircular 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  
191213  Back to the top 
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 $(1 + z^{2}/2! + z^{3}/3! + )^{n}$ 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 xu 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 $1^{r}+ 2^{r}+ 3^{r}+ + n^{r}$  
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 coaxial 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 wellknown deformable triangular linkage  
E M Horsburgh (Edinburgh) Graphical harmonic analysis  
191314  Back to the top 
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 quasiperiodic 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 $(\cos n\alpha  \cos n\theta)/(\cos \alpha \cos \theta)$  
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 Pfunction  
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'  
191415  Back to the top 
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 nonEuclidean 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 integralequation 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 $d^{2}u/dx^{2} \alpha^{2}u = p(p+1)u/x^{2}$, {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  
191516  Back to the top 
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 PeanoBaker 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 threedimensional 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 Hessianpolars of ndimensional 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 wholeplane birationally related cubics, {Communicated by Alexander George Burgess}  
191617  Back to the top 
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 sliderule  
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 coapolars 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  
191718  Back to the top 
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 integralequation  
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  
191819  Back to the top 
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 cosymmedian 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 $K(k), E(k)$  
191920  Back to the top 
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 $x(d^{2}y/dx^{2}) + (\gamma  x)dy/dx  \alpha y = 0$ 
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 $K(z)$ 
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 curvefitting 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 
192021  Back to the top 
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 FourierBessel 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  
192122  Back to the top 
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 FourierBessel 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  
192223  Back to the top 
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 nonEuclidean analogues of Tarry's point  
D M Y Sommerville (St Andrews) Spacefilling 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  
192324  Back to the top 
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 (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 axisymmetric 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  
192425  Back to the top 
Edinburgh  A C Aitken (Edinburgh) A series for symmetric functions of roots of equations 
A A K Ayyangar (Mysore, India) On the sexisectional equation, {Communicated by Alexander Craig Aitken}  
C Tweedie (Edinburgh) Notes on James Gray, {Communicated by Archibald Milne}  
E T Copson (Edinburgh) On selfadjoint 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 Pequation 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 coordinates 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 $\mu(x)$  
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  
192526  Back to the top 
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 selfadjoint 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 nonEuclidean 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  
Edinburgh  Cancelled 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  
192627  Back to the top 
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 existencetheorems 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 nspace  
192728  Back to the top 
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 mfunctions  
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 $2^{32}+ 1$  
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  
192829  Back to the top 
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 fournodal 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 ndimensional 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  
192930  Back to the top 
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 ndimensions  
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 $x^{3}= y^{3}= z^{3}= R$, {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}  
193031  Back to the top 
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 LeviCivita'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  
193132  Back to the top 
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 subspaces 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 $P (theta, phi)$  
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 nonEuclidean 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 MursiAhmed (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 Selfreciprocal functions in the form of series  
193233  Back to the top 
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  
193334  Back to the top 
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  
193435  Back to the top 
Edinburgh  H W Turnbull (St Andrews) Recent developments in Higher Algebra 
Edinburgh  H S Ruse (Edinburgh) The twentyone 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 nonassociative 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 quadriccubic space curve; {communicated by Bath, F } 
W Ledermann (St Andrews) Note on permanants  
193536  Back to the top 
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 
193637  Back to the top 
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 
193738  Back to the top 
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 semiregular solid with triangular and pentagonal faces; 
H W Turnbull (St Andrews) The original proof that $\log 2 = 1  \large\frac{1}{2}\normalsize + \large\frac{1}{3}\normalsize  \large\frac{1}{4}\normalsize +$;  
I M H Etherington (Edinburgh) Respiration mathematics;  
F Bath (Edinburgh) Wallace's Theorem  
193839  Back to the top 
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 contacttransformations with noncommuting quantities  
Edinburgh  G Timms (St Andrews) Elementary lecture on some topics in Higher Geometry 
Edinburgh  W M H Greaves (AstronomerRoyal 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 $[ (i + j  1)^{1}];$ 
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 
193940  Back to the top 
Edinburgh  J A Carroll (Aberdeen) The foundations of natural philosophy 
Edinburgh  E Freundlich (St Andrews) The 2body 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  
194041  Back to the top 
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 
194142  Back to the top 
Edinburgh  D E Rutherford (St Andrews) Substitutional analysis  an account of the lifework 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 
194243  Back to the top 
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, NewcastleuponTyne) 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 noncommutative algebra 
194344  Back to the top 
HeriotWatt 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 
194445  Back to the top 
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 GordanCapelli 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 temperatureentropy 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) Nonassociative arithmetics  
194546  Back to the top 
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 biforms  
Edinburgh  A F Buchan and Elder, T School examination questions in mathematics 
Edinburgh  A Erdélyi (Edinburgh) Symbolic representation of the Laplace transformation; 
McIntyre $x^{x^{x}}$  
Edinburgh  E G Richardson (King's College, NewcastleuponTyne) 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) Differencedifferential equations 
194647  Back to the top 
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  
194748  Back to the top 
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 (AstronomerRoyal 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) Selftransformations of algebraic surfaces  
194849  Back to the top 
Edinburgh  I M H Etherington (Edinburgh) Recent progress in nonassociative algebras 
Edinburgh  H J Zassenhaus (Hamburg and Glasgow) Onesided 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 GordanCapelli series; 
N A Bowen PhragmenLindelöf 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  
194950  Back to the top 
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 nonlinear 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  
195051  Back to the top 
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 halfcentury 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  
195152  Back to the top 
Edinburgh  H W Turnbull (St Andrews) What is zero? A sidelight on the NewtonLeibniz 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 
195253  Back to the top 
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 
195354  Back to the top 
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 timeharmonic 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 
195455  Back to the top 
Edinburgh  H S A Potter (Aberdeen) Some applications of lattice theory 
Edinburgh  A G Vosper (Dundee) The measure of sumsets of padic numbers 
Edinburgh  T Scott (HeriotWatt 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 
195556  Back to the top 
Edinburgh  E T Copson (St Andrews) The waveequation  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  
195657  Back to the top 
Edinburgh  R Smart (HeriotWatt 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 (NewcastleuponTyne) 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 
195758  Back to the top 
Edinburgh  R D Lord (Royal College of Science, Glasgow) Hankel transforms and some boundaryvalue 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 NashWilliams (Aberdeen) Random walk in infinite networks  
195859  Back to the top 
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 
195960  Back to the top 
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 
196061  Back to the top 
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 
196162  Back to the top 
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 shockwave 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) Noneuclidean geometry 
Glasgow  J D Weston (NewcastleonTyne) A theory of operational calculus 
St Andrews  D S Jones (Keele) Some boundary value problems in the theory of diffraction 
196263  Back to the top 
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) Shortwave asymptotics  a class of singular perturbation problems 
196364  Back to the top 
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 
196465  Back to the top 
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 
196566  Back to the top 
Edinburgh  E M Patterson (Aberdeen) (Presidential address) Pseudorings 
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 
196667  Back to the top 
Edinburgh  E A McHarg (Glasgow) (Presidential address) Some problems in differential equations 
Edinburgh  D S Butler (Strathclyde) Applications of numerical analysis to noncontinuum flow 
Dundee  J R Ringrose (NewcastleuponTyne) 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  
Edinburgh  Goldie A W (Leeds) A survey of noncommutative noetherian rings 
Aberdeen  J B McLeod (Oxford) Regge poles and HilbertSchmidt operators 
St Andrews  H S M Coxeter (Toronto) The abstract group $G^{\{3,9,10\}}$ 
196768  Back to the top 
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 (Kent) Interpolatory function theory 
Dundee  P Chadwick (East Anglia) Mixtures of two continua 
Edinburgh  (joint with the Edinburgh Mathematical Association) 
G Matthews (Nuffield Foundation) From cradle to college  
Glasgow  H C LonguetHiggins (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 
196869  Back to the top 
Edinburgh  R P Gillespie (Glasgow) (Presidential address) The problem of Bolza 
HeriotWatt  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 
196970  Back to the top 
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 
197071  Back to the top 
Edinburgh  J Hunter (Glasgow) (Presidential address) Some thoughts on Fermat's Last Theorem 
Strathclyde  A Jeffrey (Newcastle) Dispersion in nonlinear waves 
Edinburgh  J E Reeve (King's College London) Some reflections on the cubic curve 
HeriotWatt  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 
197172  Back to the top 
Edinburgh  W N Everitt (Dundee) (Presidential address) A return to an inequality in Hardy, Littlewood and Polya 
Glasgow  B E Johnson (NewcastleuponTyne) 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 
HeriotWatt  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 
197273  Back to the top 
Edinburgh  A Erdélyi (Edinburgh) (Presidential address) Singular perturbations 
Strathclyde  R J Knops (HeriotWatt) Qualitative behaviour in the theory of elasticity 
Edinburgh  J C Robson (Leeds) The language of noetherian rings 
HeriotWatt  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) Noncommutative approximation theory 
St Andrews  R Rado (Reading) Families of sets 
Edinburgh  Rota G C (MIT) (Hardy Lecturer) Enumeration and the calculus of finite differences 
197374  Back to the top 
Edinburgh  W D Collins (Strathclyde) (Presidential address) Time optimal control of a crane 
Glasgow  C St J A NashWilliams (Aberdeen) Some recent milestones in graph theory 
Edinburgh  J D P Meldrum (Edinburgh) Nearrings and groups 
Edinburgh  P D Robinson (Bradford) Dual variational principles and Padéapproximant bounds 
Edinburgh  D J S Robinson (Illinois at UrbanaChampaign) 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 
197475  Back to the top 
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 
HeriotWatt  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 
197576  Back to the top 
Edinburgh  R J Knops (HeriotWatt) (Presidential address) Nonlinear 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 noncommutative variables 
Newcastle
uponTyne  (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 
197677  Back to the top 
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 
HeriotWatt  J R Ringrose (NewcastleuponTyne) 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 
197778  Back to the top 
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 (HeriotWatt) Compensated compactness 
Edinburgh  J H Williamson (Reading) IN groups, SIN groups, and some others 
Edinburgh  A W Goldie (Leeds) Some recent developments in noncommutative ring theory 
Dundee  D Martin (Glasgow) Black holes 
Aberdeen  R A Rankin (Glasgow) Differences between primes: a survey 
St Andrews  J S Rose (NewcastleuponTyne) Some naive approaches to the problem of group extensions 
197879  Back to the top 
Edinburgh  A D Sands (Dundee) (Presidential address) Radicals of rings 
Strathclyde  J B McLeod (Oxford) The Kortewegde 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
uponTyne  (Joint meeting with the LMS)
A S Wassermann (Glasgow) Classes of wellbehaved C*algebras M F Atiyah (Oxford) The YangMills equations, Morse theory and the Weil conjectures 
HeriotWatt  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) Timereversibility of stochastic processes and duality in probability theory and analysis 
197980  Back to the top 
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) Nonwell posed problems for the wave equation 
Glasgow  R Penrose (Oxford) Several complex variable theory and theoretical physics: some new developments 
198081  Back to the top 
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, London) The BakerCampbellHausdorff formula 
HeriotWatt  E C Lance (Leeds) Ktheory in geometry, algebra and analysis 
Edinburgh  D R Woodall (Nottingham) How to divide a cake fairly 
Stirling  J F Adams (Cambridge) Triviality, Spin(8) , $F_{4}$, the Cayley projective plane and all that 
Aberdeen  L E Fraenkel (Sussex) Dirichlet's principle and the Sobolev space $w^{1}_{2}$ : 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 
198182  Back to the top 
Edinburgh  J Duncan (Stirling) (Presidential address) Semigroup algebras 
Glasgow  D Williams (Swansea) WienerHopf 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 nonEuclidean 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 
198283  Back to the top 
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 RogersRamanujan 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 
HeriotWatt  H G Dales (Leeds) Application of complex analysis to real problems 
Dundee  C A Stuart (Lausanne) The range of some nonlinear 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 
198384  Back to the top 
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
uponTyne  (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 
198485  Back to the top 
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 
HeriotWatt  K A Brown (Glasgow) Noetherian rings twentyfive 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? 
198586  Back to the top 
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 StoneWeierstrass conjecture 
Edinburgh  R Fletcher (Dundee) Expected conditioning 
Edinburgh  J Eells (Warwick) The geometry of Coulomb gauge fields 
Dundee  J R Whiteman (Brunel) Finiteelement 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 
198687  Back to the top 
Edinburgh  J R Hubbuck (Aberdeen) (Presidential address) Hmultiplications 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 
HeriotWatt  B D Ripley (Strathclyde) Pseudorandomness: some unexpected applications of number theory 
Dundee  J W Bruce (Newcastle upon Tyne) Whatever happened to calculus? 
Stirling  R HeathBrown (Oxford) Arithmetic progressions in integer sets 
Edinburgh  (Joint meeting with the LMS) 
E B Davies (London) Heat kernel bounds for LaplaceBeltrami 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 
198788  Back to the top 
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 nonlinear 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 1relator groups and 1relator products 
Aberdeen  S K Donaldson (Oxford) Quasiconformal 4manifolds 
198889  Back to the top 
Edinburgh  R M F Moss (Stirling) (Presidential address) Homotopy groups of spheres 
Strathclyde  J D Gibbon (Imperial College, London) Global attractors and lowdimensional behaviour of partial differential equations 
Edinburgh  R W Carter (Warwick) KacMoody algebras 
HeriotWatt  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 
198990  Back to the top 
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 (ParisDauphine) Recent mathematical results on the MaxwellBoltzmann equation and related kinetic models 
Edinburgh  C R LeedhamGreen (Queen Mary College, London) A geometrical structure theorem for finite pgroups 
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 (HeriotWatt) An algorithmic approach to solving equations over groups 
199091  Back to the top 
Edinburgh  J M Ball (HeriotWatt) (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 
HeriotWatt  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 Qfunctions and their applications 
Edinburgh  H Lawson (Stony Brook) (Hardy Lecturer) Manifolds of positive curvature 
199192  Back to the top 
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 (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 (HeriotWatt University) Blowup for reactiondiffusion 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 
199293  Back to the top 
Edinburgh  W B R Lickorish (Cambridge) The TemperleyLieb algebra and (quantum) invariants for 3manifolds 
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 
HeriotWatt  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  
199394  Back to the top 
Edinburgh  A C McBride (Strathclyde) A Celebration of RL Int 
Glasgow  A H Schofield (Bristol) Ore localisation and universal localisation 
Napier  P G Drazin (Bristol) Hydrodynamic stability 
Edinburgh  R J Wilson (Open University) Edgecolourings of graphs 
Edinburgh  P J Giblin (Liverpool) Shape, symmetry and grasp 
Dundee  N G Lloyd (Aberystwyth) Polynomial differential equations: Hilbert's sixteenth problem 
Aberdeen  R S Ward (Durham) Discrete SineGordon solitons 
St Andrews  S Wainger (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  
199495  Back to the top 
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 
HeriotWatt  H Ockendon (Oxford) The changing face of mathematics in industry 
Edinburgh  M J Dunwoody (Southampton) Ends of graphs and groups 
Abertay  A D Wood (Dublin City University) Stokes phenomenon demystified 
Stirling  C J H McDiarmid (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  
199596  Back to the top 
Edinburgh  A D D Craik (St Andrews) Tradition and innovation: Scottish mathematics of the early 19th Century 
Glasgow  A W Reid (Cambridge) padic Lie groups in lowdimensional 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 (HeriotWatt) Selfsimilarity 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) Infinitedimensional representations of finite groups  
G Levitt (Toulouse) Elements of finite order in $GL(n, \mathbb{Z})$ 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  
199697  Back to the top 
Edinburgh  M F Atiyah (Trinity College, Cambridge) Duality in Mathematics and Physics 
Strathclyde  C J Budd (Bath) New types of bifurcations in nonsmooth 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 finitedimensional algebras 
Stirling  A G Thomason (Cambridge) Ramsey's Theorem  then and now 
Aberdeen  B E Johnson (NewcastleuponTyne) 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  
199798  Back to the top 
Edinburgh  P F Smith (Glasgow) Division algebras and Forfar 
Glasgow  J Roe (Oxford) Products in Ktheory and Khomology 
HeriotWatt  W T Gowers (Cambridge) Arithmetic progressions of length four 
Edinburgh  E J Hinch (Cambridge) A load of balls in Newton's cradle 
Edinburgh  M MendesFrance (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 (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 Patternforming Bacteria  
199899  Back to the top 
Edinburgh  L N Trefethen (Oxford University Computing Laboratory) SchwarzChristoffel mapping in the computer era 
Strathclyde  I D Abrahams (Manchester) Matrix WienerHopf 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 (HeriotWatt 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) Blowup 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  
199900  Back to the top 
Edinburgh  C Maclachlan (Aberdeen) Hyperbolic 3manifolds and arithmetic 
Glasgow  C Bardos (Paris) Deterministic approach to the limit of a large reversible system 
HeriotWatt  D Vassiliev (Bath) The Dirac equation without spinors 
Edinburgh  M Ainsworth (Strathclyde) Fundamental systems of numerical schemes for linear convectiondiffusion 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  
200001  Back to the top 
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  
200102  Back to the top 
Edinburgh  (Presidential address) J Howie (HeriotWatt) Group theory and threedimensional manifolds 
Glasgow  W W CrawleyBoevey (Leeds) Counting representations of quivers 
HeriotWatt  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 RiemannHilbert 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  
200203  Back to the top 
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 (Edinburgh) Computing the permanent: a study in Markov chain Monte Carlo 
Abertay  J F Toland (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 18801933  
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 (16161703) 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  
200304  Back to the top 
Edinburgh  (Presidential address) 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 
HeriotWatt  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) Tcell 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 
200405  Back to the top 
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 GravesMorris (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 
200506  Back to the top 
Edinburgh  (Presidential address) P Rowlinson (Stirling) Star complements in finite graphs 
Glasgow  M Liebeck (Imperial College) Probabilistic group theory and Fuchsian groups 
HeriotWatt  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 noncommutative modular symbols 
200607  Back to the top 
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 saddlepoint systems: from optimization to NavierStokes and back 
HeriotWatt  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 
200708  Back to the top 
Edinburgh  (Presidential address) C M Campbell (St Andrews) Presentations galore 
Glasgow  Stuart C A (Ecole Polytechnique Fédérale de Lausanne) Buckling and bifurcation 
Strathclyde  Jimack P K (Leeds) Multigrid and nonlinear systems of PDEs 
Edinburgh  F Kirwan (Oxford) Nonreductive 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 
200809  Back to the top 
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  
HeriotWatt  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 (MilanoBicocca) 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 
200910  Back to the top 
Edinburgh  (Presidential address) 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 
HeriotWatt  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 
201011  Back to the top 
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 
201112  Back to the top 
Edinburgh  (Presidential address) 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 
HeriotWatt  B Niethammer (Oxford) Selfsimilar 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 
201213  Back to the top 
Edinburgh  R Thomas (Imperial College, London) The Göttsche conjecture 
Strathclyde  R Craster (Imperial College, London) Vignettes in Mathematics 
HeriotWatt  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 MarciniakCzochra (Heidelberg) Mathematical models of fitness selection during cell differentiation and stem cellinitiated 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 
201314  Back to the top 
Edinburgh  (Presidential address) 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 
201415  Back to the top 
Edinburgh  T Wooley (Bristol) A translationinvariant perspective on arithmetic (and) harmonic analysis 
Glasgow  C Stroppel (Bonn) Classical dualities from a modern perspective 
HeriotWatt  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 
Barcelona  EMS/SCM (Societat Catalana de Matemàtiques) joint meeting
See THIS LINK 
201516  Back to the top 
ICMS/
Edinburgh  (Presidential address)
A Carbery (Edinburgh) Analysis, topology and beyond: a reflective perspective on the teachingresearch continuum from Bolzano to Guth and Catz 
Strathclyde  JF 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/
HeriotWatt  L SaintRaymond (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 CuntzKrieger algebras 
St Andrews  M Zähle (Jena) Geometry past and present  a stroll through curved spaces 
201617  Back to the top 
ICMS/
Edinburgh  J Pach (Renyi Inst Budapest and EPFL Lausanne) Towards a SemiAlgebraic 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 BanachTarski 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/ Edinburgh  EMS/SCM (Societat Catalana de Matemàtiques) joint meeting
See THIS LINK 
201718  Back to the top 
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/
HeriotWatt  CB Schönlieb (Cambridge) Modelbased 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? 
201819  Back to the top 
Edinburgh  R Marsh (Leeds) Frieze patterns of integers 
Stirling  T Zastawniak (York) Branching processes representation of solutions to nonlinear Dirac equations 
ICMS/
HeriotWatt  J Quastel (Toronto and Newton Institute) The KPZ fixed point 
Glasgow  G Stallard (Open University) Complex dynamics: the intriguing case of wandering domains 
Strathclyde  PG 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 
201920  Back to the top 
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/
HeriotWatt  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] 
Online  K Falconer (St Andrews) Symmetry and Enumeration of Fractals 
202021  Back to the top 
Online  S Carr (Bays Consulting) What is the best super power? 
Online  J Maynard (Oxford) Approximating real numbers by fractions 
Online  J Carrillo (Oxford) Nonlinear AggregationDiffusion Equations: Gradient Flows, Free Energies, and Phase Transitions 
Online  S Vaes (KU Leuven) Ergodic theory without invariant measures 
Online  D Barkley (Warwick) A fluid mechanic's analysis of the teacup singularity 
Online  A Skeldon (Surrey) Mathematical modelling of the sleepwake cycle: light, clocks and societal rhythms 
Online  R Twarock (York) Mathematical Virology: Geometry as a key to the virosphere 
Online  G Mikhalkin (Geneva) Commutative and noncommutative amoebas 
Online  E Estrada (IFISC, Balearic Islands) Postcards from network theory

202122  Back to the top 
Online  (Popular lecture) H Segerman (Oklahoma State) Artistic mathematics: truth and beauty 
Online  (Presidential address) G Gibson (HeriotWatt) Data augmentation and imagination 
Online  S Cox (Aberystwyth) The mathematics of soap bubbles 
Online  M Bridston (Oxford) Finite shadows of infinite groups, finiteness properties, and geometry 
Online  S Tobias (Leeds) From order to chaos and chaos to order in fluid flows 
Online  S Terracini (Turin) Pattern formation through spatial segregation 
Online  C Makridakis (Crete and Sussex) Mathematics of computational modelling: some challenges of computing nonlinear phenomena 
Aberdeen  H Lenstra (Leiden) Efficient algebraic number theory

202223  Back to the top 
Edinburgh  (Popular lecture) K Yates (Bath) The Maths of Life and Death: Understanding the maths behind epidemics 
Edinburgh  J Bennett (Birmingham) Induction on Scales 
Dundee  D PeraltaSalas (Instituto de Ciencias Matemáticas, Madrid) Steady incompressible fluid flows: a zoo of complexity 
Glasgow  R Goldstein (Cambridge) Cytoplasmic Streaming and the Swirling Instability of the Microtubule Cytoskeleton 
Strathclyde  D Vella (Oxford) Beyond Gauss's Pizza Theorem: From wrinkly isometry to snapthrough 
HeriotWatt  E Gorla (Neuchâtel) Multivariate cryptography and the hardness of polynomial system solving 
Aberdeen  D Joyce (Oxford) What is Derived Geometry? 
Stirling  E Hunsicker (Loughborough) Introduction to Statistical Metrology

202324  Back to the top 
Edinburgh  (Popular lecture) J Lotay (Oxford) Knotty problems 
Edinburgh  (Presidential address) R Norman (Stirling) Deconstructing beta: Using mathematical models to understand disease transmission and control 
Edinburgh  J Baez (University of California, Riverside) Category Theory in Epidemiology 
Strathclyde  D Higham (University of Edinburgh) Can We Rely On AI? 
HeriotWatt  B Doyon (King's College London) The emergence of hydrodynamics in manybody systems 
St Andrews  M Jerrum (Queen Mary University London) Perfect sampling, old and new 
Aberdeen  B Hanke (Ausburg University) The two sides of scalar curvature 
Written by CMC/JOC/EFR