Ce livre est une introduction a la theorie de la complexite algebrique basee sur un panorama des methodes algorithmiques en algebre lineaire exacte. Il donne en particulier les principaux algorithmes pour le calcul du polynome caracteristique. Ce livre se remarque par l'etendue des sujets traites tout en restant tres lisible."

Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative.

The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prufer rings, finitely generated projective modules,...