Étienne Bézout : Analyse algébrique au siècle des Lumières

Details Étienne Bézout : Analyse algébrique au siècle des Lumières Étienne Bézout : Analyse algébrique au siècle des Lumières

2009-10-19

arxiv.org/abs/0910.3641v1

Revue d'Histoire des Math\'ematiques 14 (2008), 2 (2009) p. 211-287

Mathematics

History and Overview

76 pages

Scientific paper

The topic of this paper is, on the one hand to introduce algebraic analysis results of \'Etienne B\'ezout (1730- 1783) not as we know them today but as he found them in his time, and on the other hand to emphasize his innovating viewpoints. We will be concerned with Bezout special way of reducing elimination for any degree systems to finding conditions for linear systems solutions, with his typical use of indeterminate coefficients that he doesn't compute but looks only for existence and number, with his idea to work on set of polynomials products sums, and with a very personal method to found two equations resultant.

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