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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".

bulletin of the belgian mathematical society simon stevin

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)