Abstract: In seventeenth century appear some general methods for the elimination of unknowns in systems of polynomial equations. This book compares these methods and describes the history of elimination theory, from “Bézout's theorem” and its applications to geometry and algebra, up until our days.
Keyword: Théorie de l'intersection, algèbre effective, Johan Hudde, Michel Rolle, Gabriel Cramer, Edward Waring, Siméon-Denis Poisson, Arthur Cayley, Leopold Kronecker, Jean-Pierre Jouanolou
