Born Luton, Bedfordshire, England, 9 December 1863; died Hobart 6 July 1931. Education, Owens College, Manchester and Cambridge University (B.A. 1886). Lecturer in mathematics, Ormond College, University of Melbourne, 1888-92. Lecturer in mathematics, University of Tasmania 1893-96; professor of mathematics & physics 1896-1919; professor of mathematics 1919-29.
Some general theorems in quarternion interpretation. Messenger of Mathematics, 14 (1884-85), 26-37.
Establishment of the fundamental properties of quaternions. Messenger of Mathematics, 18 (1888-89), 131-137.
The transformation of multiple surface integrals into multiple line integrals. Messenger of Mathematics, 18 (1888-89), 139-145.
Differentiation of any (scalar) power of a quaternion. Royal Society of Edinburgh. Proceedings., 16 (1888-89), 201-205.
(Abstract) Note on the Eulerian equations of hydrodynamics. Australasian Association for the Advancement of Science. Report of Meeting., 2 (Melbourne, 1890), 365-366.
Proposed extension of the powers of quaternion differentiation. Royal Society of Edinburgh. Proceedings., 18 (1890-91), 98-123.
(Abstract) On the mathematical theory of electromagnetism. Proceedings of the Royal Society of London, 51 (1892), 400-404.
Quaternions as a practical instrument of physical research. Philosophical Magazine, S.5, 33 (1892), 477-495.
On the mathematical theory of electromagnetism. Royal Society of London. Philosophical Transactions., A, 183 (1892), 685-779.
Quaternions. Nature, 47 (1892), 151.
Notes on a modification of Maxwell's electrical theory. Philosophical Magazine, S.5, 36 (1893), 175-188.
On some poular misconceptions of the nature of mathematical thought. Australasian Association for the Advancement of Science. Report of Meeting., 6 (Brisbane, 1895), 13-24.
(Abstract) Octonions. Proceedings of the Royal Society of London, 59 (1895), 169-181.
On the wave-surface and rotation of polarization plane in an aeolotropic electromagnetic medium. Philosophical Magazine, S.5, 42 (1896), 224-231.
On the meaning of symbols in applied algebra. Nature, 56 (1897), 588.
Notes on the electromagnetic theory of light. I. Geometrical properties of the wave surface &c. II. Reflexion and refraction at the boundary of crystals, treated by a theorem of Sir William Rowan Hamilton. Philosophical Magazine, S.5, 49 (1900), 228-242.
On some obscurities at the basis of mathematics. Australian Teacher, 35 (October 1900), 10-15.
Practical astronomy in Tasmania, and a proposal for a school thereof. Royal Society of Tasmania. Papers and Proceedings., (1902), 85-94.
(With E.G. Hogg) A preliminary magnetic survey of Tasmania, 1901. Australasian Association for the Advancement of Science. Report of Meeting., 9 (Hobart, 1902), 81-94.
Algebra after Hamilton, or multenions. Royal Society of Edinburgh. Proceedings., 28 (1907-08), 503-585.
Elastic solid aether, with two moduli, satisfying MacCullagh's crystalline optical conditions. Philosophical Magazine, S.6, 17 (1909), 553-560.
Spontaneous generation of electrons in an elastic solid aether. Philosophical Magazine, S.6, 19 (1910), 129-152.
Quaternions. Encyclopaedia Britannica, 11th edition (1910-11), vol. 22, pp.718-723.
Quaternions applied to physics in non-Euclidean space. I. The mathematical methods. Royal Society of Tasmania. Papers and Proceedings., (1914), 1-19.
Relativity and hyperbolic space. Nature, 105 (1920), 808.
Inertial frame given by a hyperbolic space-time. Philosophical Magazine, S.6, 41 (1921), 141-143.
Integration theorems of four-dimensional vector analysis. Philosophical Magazine, S.6, 42 (1921) 197.
Multenions and differential invariants. Proceedings of the Royal Society of London, A, 99 (1921), 292-324.
Multenions and differential invariants. II. Proceedings of the Royal Society of London, A, 102 (1922), 210-240.
A relativity-predicted mechanical effect in the electromagnetic fieldied Nature, 111 (1923), 325.
Multenions and differential invariants. III. Proceedings of the Royal Society of London, A, 103 (1923), 162-183.
Poisson's and Green's theorems in Riemann's n-manifold both when it is space-like and when time-space-like. Philosophical Magazine, S.6, 46 (1923), 146-155.
The mechanical forces indicated by relativity in an electromagnetic field. Can their existence be demonstrated? Philosophical Magazine, S.6, 46 (1923), 156-162.
Researches in relativity. I. Criticism and modification of Einstein's latest manifoldied Royal Society of Tasmania. Papers and Proceedings., (1924), Appendix. iv + 20p.
Researches in relativity. II. The basis of the physical world as indicated by carrying as far as possible the tenets of relativity. Royal Society of Tasmania. Papers and Proceedings., (1925), Appendix II. 16p.
Utility of quaternions in physics. London: Macmillan and Co., 1893. xiv + 107pp.
Octonions: a development of Clifford's bi-quaternions. Cambridge: at the University Press, 1898. xiv + 253pp.
Five figure logarithmic and other tables. London: Macmillan, 1903. xl + 161 pp. Reprinted 1909, 1916, 1918, 1920, 1930, 1942, 1946.