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 [Book Review]

Abstract

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".

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Mècanique Analytique (Analytical Mechanics).J. L. Lagrange - forthcoming - Boston Studies in the Philosophy of Science.
Weierstrass and the theory of matrices.Thomas Hawkins - 1977 - Archive for History of Exact Sciences 17 (2):119-163.

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