[Logo] PHYSICS IN AUSTRALIA TO 1945

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WWW edition prepared by Tim Sherrat and Victoria Young for Bright Sparcs, June 1995

WEATHERBURN, Charles Ernest

Born Sydney 18 June 1884; died Perth, 18 October 1974. Education, Sydney University (M.A. 1906, D.Sc. 1916) and Cambridge University (B.A. 1908). Lecturer in mathematics and natural philosophy, Ormond College, University of Melbourne, 1911-23. Professor of mathematics, Canterbury University College, New Zealand, 1923-29. Professor of mathematics, University of Western Australia 1929-50.
  1. Boundary problems for the generalised potential corresponding to the equation nabla*2U - k*2U=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 nabla*2U - k*2U=0. Quarterly Journal of Pure and Applied Mathematics, 46 (1914), 83-94.
  3. Singular parameter values in the boundary problems of the potential theory. Royal Society of Victoria. Proceedings., 27 (1914), 164-178.
  4. Green's functions for the equation nabla*2U - k*2U=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 nabla*2U - k*2U=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, S.6, 30 (1915), 568-581.
  7. (Abstract) Green's dyadics in the theory of elasticity. London Mathematical Society. Proceedings., 15 (1916), xv-xvi.
  8. On certain functions analogous to harmonic functions, and Green's functions of any order for the equation delta*2U - k*2U=0. Quarterly Journal of Pure and Applied Mathematics, 47 (1916), 73-93.
  9. Vector integral equations and Gibbs' dyadics. Cambridge Philosophical Society. Transactions, 22 (1916), 133-158.
  10. On two fundamental problems in the theory of elasticity. Philosophical Magazine, S.6, 32 (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 (1917), 2-5.
  13. On the hydrodynamics of relativity. Cambridge Philosophical Society. Proceedings., 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), 4p.
  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. Royal Society of Edinburgh. Proceedings., 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 (1927), 527-534.
  29. Some properties of a family of curves on a surface. Edinburgh Mathematical Society. Proceedings., 1 (1927), 160-165.
  30. On small deformations of curves. American Mathematical Society. Bulletin., 33 (1927), 58-62.
  31. On Lamé families of surfaces. Annals of Mathematics, S.2, 28 (1927), 301-308.
  32. On families of surfaces. Mathematische Annalen, 99 (1928), 473-478.
  33. On small deformations of surfaces. Messenger of Mathematics, 57 (1928), 106-112.
  34. On Levi-Civita's theory of parallelism. American Mathematical Society. Bulletin., 34 (1928), 585-590.
  35. On curvilinear congruences. American Mathematical Society. Transactions, 31 (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 (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. Australian and New Zealand Association for the Advancement of Science. Report of the 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. Edinburgh Mathematical Society. Proceedings., 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, S.7, 23 (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, S.7, 28 (1939), 632-634.
  50. Elementary vector analysis, with application to geometry and physics. London: G. Bell and Sons, Ltd., 1921. xxvii + 184pp.
  51. Advanced vector analysis, with application to mathematical physics. London: G. Bell and Sons, Ltd., 1924. xvi + 222pp.
  52. Differential geometry of three dimensions. Cambridge: at the University Press, Vol. 1, 1927, xii + 268pp; Vol. 2, 1930, xii + 234pp.
  53. An introduction to Riemannian geometry and the tensor calculus. Cambridge: at the University Press, 1938. x + 191pp.
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