Aspects géométriques dans l'œuvre algébrique de Hamilton
Séminaire de Philosophie et Mathématiques no. 3  (1995), p. 1-12
@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},
     publisher = {\'Ecole Normale Sup\'erieure},
     number = {3},
     year = {1995},
     pages = {1-12},
     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, no. 3 (1995), pp. 1-12. http://www.numdam.org/item/SPHM_1995___3_A1_0/

Cayley (Arthur). [CMP] The collected mathematical papers, 14 vol., Cambridge, 1889-1898; rééd New York: Johnson Reprint, 1963. | JFM 27.0021.01 | Zbl 0099.00101

Cayley (Arthur) [1848] 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.

Cayley (Arthur) [1895] Coordinates versus quaternions. Proceedings of the.Royal Society of Edimburgh t.XX (1895) p.196-200; CMP 13, p.541-544.

Clifford (William Kingdon). [MP] Mathematical Papers (1882); rééd Chelsea publishing company New York (1968). | MR 238662

Clifford (William Kingdon). [1877] Notes of Lectures on quaternions. MP p.478-515.

Crowe (Michael). [1968] A History of Vector Analysis; the evolution of the idea of a vectorial system. London, University of Notre Dame Press (1968). | MR 229496 | Zbl 0165.00303

Dahan Dalmedico (Amy). [1993] Mathématisations. Augustin-Louis Cauchy et l'Ecole Française. Blanchard (1993). | MR 1202713 | Zbl 0826.01006

Durand (Marie José). [1990] 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 1129631 | Zbl 0718.01018

Graves (Robert Perceval). [1882-1889] 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]

Hamilton (Sir William Rowan). [MP] Mathematical Papers, 3 vol., Cambridge. The University Press, 1931-1967. | Zbl 0156.24201

Hamilton (Sir William Rowan). [MS] MS 1492, manuscrits des "notebooks" de S.W.R. Hamilton, Trinity College Library Dublin.

Hamilton (Sir William Rowan). [1833a] Algebra as Science of Order (1833), MS 27.

Hamilton (Sir William Rowan). [1833b] 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.

Hamilton (Sir William Rowan). [1835a] Lettres à Lord Adare. Hermathena (1879) p.469-89.

Hamilton (Sir William Rowan). [1835b] 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.

Hamilton (Sir William Rowan). [1837] Address by the president, Royal Irish Academy Proceedings, t.1 (1836-1839) p.215.

Hamilton (Sir William Rowan). [1846] Statics. MS 70.

Hamilton (Sir William Rowan). [1843a] Quaternions. MP3, p. 103-105.

Hamilton (Sir William Rowan). [1843b] Letter to Graves on quaternions; or on a new system of imaginaries in algebra. MP3, p.106-110.

Hamilton (Sir William Rowan). [1844] 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.

Hamilton (Sir William Rowan). [1846] On symbolical Geometry. Cambridge and Dublin Mathematical Journal. I (1846) p.45-57, 137-154, 256-263.

Hamilton (Sir William Rowan). [1847] 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.

Hamilton (Sir William Rowan). [1848] Researches respecting quaternions first series. Transactions of the Royal Irish Academy t.XXI (1848) p199-296 MP3, p.159-226.

Hamilton (Sir William Rowan). [1853] Lectures on quaternions, Dublin, 1853.

Hamilton (Sir William Rowan). [1866] Elements of quaternions, London, 1866; 3e éd., 2 vol., New York: Chelsea, 1969.

Hankins (Thomas). [1980] Sir William Rowan Hamilton. The Johns Hopkins University Press, 1980. | MR 618834 | Zbl 0553.01015

Mac Cullagh (James). [1836] On the laws of the double refraction of quartz Collected Works. éd. J.H.Jellet & S.Haughton. Dublin.63-74.

Matthews (Jerold). [1978] 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 479857 | Zbl 0393.01007

Ohrstrom (Peter). [1985] 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 789147 | Zbl 0581.01005

Peacock (George) [1833] 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.

Peirce (Benjamin) [1870] Linear associative algebra. American Journal of Mathematics t.4 (1881), p. 105. | JFM 13.0082.03

Pycior (Helena) [1981] George Peacock and the British origins of symbolical algebra. Historia Mathematica vol 8 (1981) p.23-45. | MR 618162 | Zbl 0458.01007

Sinegre (Luc) [1994] 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.

Sinegre (Luc) [1995] 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 1328154 | Zbl 0821.01017

Tait (Peter Guthrie) [1867] Elementary treatise on quaternions, 1re éd. Oxford, 1867; trad, française après la 2e éd. anglaise de 1873 par Gustave Plarr, Paris: Gauthiers-Villars, 1882

Thomson (William)-Tait (Peter Guthrie) [1867] Treatise on Natural Philosophy.

Winterbourne (Anthony) [1982] Algebra and Pure Time: Hamilton's Affinity with Kant. Historia Mathematica vol 9 (1982) p. 195-200. | MR 662141 | Zbl 0489.01013