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.


  1. Boundary problems for the generalised potential corresponding to the equation ∇2U - k2U = 0, Quarterly Journal of Pure and Applied Mathematics 46 (1914), 66-82.

  2. The mixed boundary problem for the generalised potential corresponding to the equation ∇2U - k2U = 0, Quarterly Journal of Pure and Applied Mathematics 46 (1914), 83-94.

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

  4. Green's functions for the equation ∇2U - k2U = 0, and the integration of some related equations, Quarterly Journal of Pure & Applied Mathematics 46 (1915), 198-215.

  5. Note on my paper 'Green's functions for the equation ∇2U - k2U = 0, &c.', Quarterly Journal of Pure and Applied Mathematics 46 (1915), 384.

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

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

  8. On certain functions analogous to harmonic functions, and Green's functions of any order for the equation ∇2U - k2U = 0, Quarterly Journal of Pure and Applied Mathematics 47 (1916), 73-93.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  41. 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.

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

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

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

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

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

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

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

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

JOC/EFR October 2016

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