@article{SPHM_1995___3_A1_0, author = {Sin\`egre, Luc}, title = {Aspects g\'eom\'etriques dans l'{\oe}uvre alg\'ebrique de {Hamilton}}, journal = {S\'eminaire de Philosophie et Math\'ematiques}, pages = {1--12}, publisher = {\'Ecole Normale Sup\'erieure}, number = {3}, year = {1995}, language = {fr}, url = {http://www.numdam.org/item/SPHM_1995___3_A1_0/} }
Sinègre, Luc. Aspects géométriques dans l'œuvre algébrique de Hamilton. Séminaire de Philosophie et Mathématiques, Aspects géométriques dans l'œuvre algébrique de Hamilton, no. 3 (1995), pp. 1-12. http://www.numdam.org/item/SPHM_1995___3_A1_0/
The collected mathematical papers, 14 vol., Cambridge, 1889-1898; rééd New York: Johnson Reprint, 1963. | JFM | Zbl
. [CMP]On the application of quaternions to the theory of rotation. The London Edinburgh and Dublin mathematical magazine, t. XXXIII (1848), p. 196-200; CMP 1, p.405-410.
[1848]Coordinates versus quaternions. Proceedings of the.Royal Society of Edimburgh t.XX (1895) p.196-200; CMP 13, p.541-544.
[1895]Mathematical Papers (1882); rééd Chelsea publishing company New York (1968). | MR
. [MP]Notes of Lectures on quaternions. MP p.478-515.
. [1877]A History of Vector Analysis; the evolution of the idea of a vectorial system. London, University of Notre Dame Press (1968). | MR | Zbl
. [1968]Mathématisations. Augustin-Louis Cauchy et l'Ecole Française. Blanchard (1993). | MR | Zbl
. [1993]Genèse de l'Algèbre symbolique en Angleterre: une influence possible de John Locke. Revue d'histoire des sciences, t 43 (1990) p. 130-180. | MR | Zbl
. [1990]Life of Sir R.W.Hamilton, 3 vol., Dublin, 1882-1889; rééd. NewYork: Arno Press, 1975. [On notera simplement Graves I, II, III pour désigner ces volumes]
. [1882-1889]Mathematical Papers, 3 vol., Cambridge. The University Press, 1931-1967. | Zbl
. [MP]MS 1492, manuscrits des "notebooks" de S.W.R. Hamilton, Trinity College Library Dublin.
. [MS]Algebra as Science of Order (1833), MS 27.
. [1833a]On a general method of expressing the paths of light, and of the planets, by the coefficients of a characteristic function. Dublin University Review. (1833) p.795-826.
. [1833b]Lettres à Lord Adare. Hermathena (1879) p.469-89.
. [1835a]Theory of conjugate functions, or algebraic couples; with a preliminary and Elementary Essay on Algebra as Science of Pure Time. Transactions of the Royal Irish Academy Proceedings, t.17 (1837) p.293-422; MP3, p.3- 96.
. [1835b]1 (1836-1839) p.215.
. [1837] Address by the president, Royal Irish Academy Proceedings, t.Statics. MS 70.
. [1846]Quaternions. MP3, p. 103-105.
. [1843a]Letter to Graves on quaternions; or on a new system of imaginaries in algebra. MP3, p.106-110.
. [1843b]On a new species of imaginary quantities connected with the theory of quaternions. Proceedings of the Royal Irish Academy. t.II (1844) p.424-34. MP3, p.111-116.
. [1844]On symbolical Geometry. Cambridge and Dublin Mathematical Journal. I (1846) p.45-57, 137-154, 256-263.
. [1846]On Quaternions or a new system of imaginaries in Algebra, with some geometrical illustrations. Proceedings of the Royal Irish Academy t.III (1847), p. 1-16; MP3, p.355-362.
. [1847]Researches respecting quaternions first series. Transactions of the Royal Irish Academy t.XXI (1848) p199-296 MP3, p.159-226.
. [1848]Lectures on quaternions, Dublin, 1853.
. [1853]Elements of quaternions, London, 1866; 3e éd., 2 vol., New York: Chelsea, 1969.
. [1866]Sir William Rowan Hamilton. The Johns Hopkins University Press, 1980. | MR | Zbl
. [1980]On the laws of the double refraction of quartz Collected Works. éd. J.H.Jellet & S.Haughton. Dublin.63-74.
. [1836]W.R.Hamilton's paper of 1837 on the Arithmetisation of Analysis. Archive of history of exact sciences, vol 19.1 (1978) p. 178-200. | MR | Zbl
. [1978]W.R. Hamilton's view of Algebra as the Science of Pure Time and his revision to this view. Historia Mathematica vol 12 (1985) p.45-55. | MR | Zbl
. [1985]Report to the recent progress and present state of certain Branches of Analysis. Report of the third meeting of the British Association for the Advancement of Science (1833) p.185-352.
[1833]Linear associative algebra. American Journal of Mathematics t.4 (1881), p. 105. | JFM
[1870]George Peacock and the British origins of symbolical algebra. Historia Mathematica vol 8 (1981) p.23-45. | MR | Zbl
[1981]Au delà du temps pur: aspects géométriques, constructions et pratiques dans l'œuvre algébrique de Sir Rowan Hamilton. (C.Houzel dir.), Université Paris VII, 1994.
[1994]Les quaternions et le mouvement du solide autour d'un point fixe chez Hamilton. Revue d'histoire des mathématiques. I (1995), p.83-109. | Numdam | MR | Zbl
[1995]Elementary treatise on quaternions, 1re éd. Oxford, 1867; trad, française après la 2e éd. anglaise de 1873 par Gustave Plarr, Paris: Gauthiers-Villars, 1882
[1867]Treatise on Natural Philosophy.
- [1867]Algebra and Pure Time: Hamilton's Affinity with Kant. Historia Mathematica vol 9 (1982) p. 195-200. | MR | Zbl
[1982]