A controversy and the writing of a history: the discussion of "small oscillations" (1760-1860) from the standpoint of the controversy between Jordan and Kronecker (1874)
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10 décembre 2006
- handle: 10670/1.bqf82c
- hal: hal-00142788
info:eu-repo/semantics/OpenAccess
Mots-clés
invariant factors History of mathematics philosophy ofmathematics history of algebra generality Jordan Kronecker Lagrange Laplace Cauchy Frobenius Weierstrass linear algebra spectral theory mechanics arithmetic bilinear forms group theory differential equations matrices canonical form elementary divisors invariant factors. AMS. 01A55, 01A85, 11-03, 11C20, 11E04, 11E39, 15-03, 15A15, 15A18, 15A21, 15A22, 15A36, 15A63, 15A90, 20-03, 20G15, 34-03, 34A05, 70-03.Sujets proches
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Frederic Brechenmacher, « A controversy and the writing of a history: the discussion of "small oscillations" (1760-1860) from the standpoint of the controversy between Jordan and Kronecker (1874) », HAL-SHS : histoire, philosophie et sociologie des sciences et des techniques, ID : 10670/1.bqf82c
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In 1874, a strong controversy on the theory of bilinear and quadratic forms opposed Camille Jordan and Leopold Kronecker. The arithmetical ideal of Kronecker faced Jordan's claim for the simplicity of his algebraic canonical form. As the controversy combined mathematical and historical arguments, it gave rise to the writing of a history of the methods used by Lagrange, Laplace and Weierstrass in a century long mathematical discussion (1760-1860) around the "equation of secular inequalities".