L'identit\'e alg\'ebrique d'une pratique port\'ee par la discussion sur l'\'equation \`a l'aide de laquelle on d\'etermine les in\'egalit\'es s\'eculaires des plan\`etes (1766-1874)
| Autor: | Brechenmacher, Frederic |
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| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | Sciences et Techniques en Perspective IIe s\'erie, fasc. 1 (2007) (2008) p. 5-85 |
| Druh dokumentu: | Working Paper |
| Popis: | What did "algebra" mean before the development of the algebraic theories of the 20th century ? This paper stresses the identities taken by the algebraic practices developped during the century long discussion around the equation around the equation of secular inequalities (1766- 1874). 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 around the "equation of secular inequalities". Comment: Il s'agit d'une version pr\'e publication ant\'erieure de plusieurs mois \`a la version publi\'ee (r\'ef\'erence jointe). Les commentaires du comit\'e de lecture et le travail d'\'edition ont amen\'e une \'evolution importante du contenu de cet article dans la version finale. Se reporter \`a la version publi\'ee |
| Databáze: | arXiv |
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