# Charles Ernest Weatherburn's papers

We list below as complete a list of Weatherburn's papers that we are able to find. If anyone is aware of any further papers we would be happy to be able to add them to this list.

- Boundary problems for the generalised potential corresponding to the equation $<laplacian>^{2}U - k^{2}U = 0$,
*Quarterly Journal of Pure and Applied Mathematics***46**(1914), 66-82.

- The mixed boundary problem for the generalised potential corresponding to the equation $<laplacian>^{2}U - k^{2}U = 0$,
*Quarterly Journal of Pure and Applied Mathematics***46**(1914), 83-94.

- Singular parameter values in the boundary problems of the potential theory,
*Proceedings of the Royal Society of Victoria***27**(1914), 164-178.

- Green's functions for the equation $<laplacian>^{2}U - k^{2}U = 0$, and the integration of some related equations,
*Quarterly Journal of Pure & Applied Mathematics***46**(1915), 198-215.

- Note on my paper 'Green's functions for the equation $<laplacian>^{2}U - k^{2}U = 0$, &c.',
*Quarterly Journal of Pure and Applied Mathematics***46**(1915), 384.

- Problems in electrostatics and the steady flow of electricity under the exponential potential $e^{-kr}/ r$,
*Philosophical Magazine***30**(6) (1915), 568-581.

- Green's dyadics in the theory of elasticity (Abstract),
*Proceedings of the London Mathematical Society***15**(1916), xv-xvi.

- On certain functions analogous to harmonic functions, and Green's functions of any order for the equation $<laplacian>^{2}U - k^{2}U = 0$,
*Quarterly Journal of Pure and Applied Mathematics***47**(1916), 73-93.

- Vector integral equations and Gibbs' dyadics,
*Transactions of the Cambridge Philosophical Society***22**(1916), 133-158.

- On two fundamental problems in the theory of elasticity,
*Philosophical Magazine***32**(6) (1916), 15-38.

- On the equations of equilibrium for an elastic isotropic body, with or without heredity,
*Messenger of Mathematics***46**(1916), 89-96.

- A plea for a more general use of vector analysis in applied mathematics,
*Mathematical Gazette***9**(127) (1917), 2-5.

- On the hydrodynamics of relativity,
*Proceedings of the Cambridge Philosophical Society***19**(1917), 72-85.

- Some theorems in four-dimensional analysis,
*Quarterly Journal of Pure and Applied Mathematics***48**(1917), 39-58.

- Four-vector algebra and analysis,
*Messenger of Mathematics***49**(1920), 155-176; 50 (1920), 49-61.

- On general relativity and gravitation,
*Melbourne University Magazine*(October 1920), 128-130.

- The spectrum of learning,
*Secondary Teacher*(November 1920).

- Vector analysis in a university course,
*Mathematical Gazette***10**(1920), 170-172.

- Vector algebra in general relativity,
*Tohoku Mathematical Journal***19**(1921), 89-104.

- Green's dyadics in the theory of elasticity,
*Messenger of Mathematics***52**(1923), 136-156.

- On differential invariants in geometry of surfaces, with some applications to mathematical physics,
*Quarterly Journal of Pure and Applied Mathematics***50**(1925), 230-269.

- On small deformation of surfaces and of thin elastic shells,
*Quarterly Journal of Pure and Applied Mathematics***50**(1925), 272-296.

- Some new theorems in geometry of a surface,
*Mathematical Gazette***13**(1926), 1-6.

- On triple systems and non-orthogonal curvilinear coordinates,
*Proceedings of the Royal Society of Edinburgh***46**(1926), 194-205.

- On congruences of curves,
*Tohoku Mathematical Journal***28**(1927), 114-125

- On families of curves and surfaces,
*Quarterly Journal of Pure and Applied Mathematics***50**(1927), 350-361.

- On the curvatures of a surface,
*Messenger of Mathematics***56**(1927), 172-174.

- On isometric systems of curves and surfaces,
*American Journal of Mathematics***49**(4) (1927), 527-534.

- Some properties of a family of curves on a surface,
*Proceedings of the Edinburgh Mathematical Society***1**(1927), 160-165.

- On small deformations of curves,
*Bulletin of the American Mathematical Society***33**(1) (1927), 58-62.

- On Lamé families of surfaces,
*Annals of Mathematics***28**(2) (1927), 301-308.

- On families of surfaces, Mathematische Annalen 99 (1) (1928), 473-478.

- On small deformations of surfaces,
*Messenger of Mathematics***57**(1928), 106-112.

- On Levi-Civita's theory of parallelism,
*Bulletin of the American Mathematical Society***34**(5) (1928), 585-590.

- On curvilinear congruences,
*Transactions of the American Mathematical Society***31**(1) (1929), 117-132.

- On families of curves on a surface,
*Tohoku Mathematical Journal***30**(1929), 301-306.

- On the divergence and circulation theorems for a surface,
*Mathematical Gazette***14**(1929), 461-462.

- On Weingarten surfaces,
*Mathematische Zeitschrift***29**(1) (1929), 292-299.

- On oblique trajectories of a family of curves on a surface,
*Journal für reine und angewandte Mathematik***160**(1929), 61-66.

- On the lines of equidistance of a family of surfaces,
*Journal de mathématiques pures et appliquées***9**(1930), 383-390.

- The development of multidimensional differential geometry,
*Report of the Australian and New Zealand Association for the Advancement of Science Meeting***21**(Sydney, 1932), 12-23.

- Some theorems in Riemannian geometry,
*Tohoku Mathematical Journal***38**(1933), 422-430.

- On certain quadric hypersurfaces in Riemannian space,
*Proceedings of the Edinburgh Mathematical Society***4**(1934), 85-91.

- On certain related curves,
*Mathematical Gazette***20**(1936), 320-321.

- On the motion of an extensible membrane in a given curved surface,
*Philosophical Magazine***23**(7) (1937), 573-580.

- On the equations of Gauss and Codazzi for a surface,
*Tohoku Mathematical Journal***43**(1937), 30-32.

- On certain useful vectors in differential geometry,
*Compositio mathematica***4**(1937), 342-345.

- On the centre of spherical curvature of a curve,
*Mathematical Notes Nr.***36**(1937), xi-xii.

- On transverse vibrations of curved membranes,
*Philosophical Magazine***28**(7) (1939), 632-634.

Last Updated October 2016