Using algebraic geometry / David Cox, John Little, Donal O'Shea

Auteur principal : Cox, David A., 1948-, AuteurCo-auteur : Little, John Brittain, 1956-, Auteur • O'Shea, Donal, 1952-, AuteurType de document : MonographieCollection : Graduate texts in mathematics, 185Langue : anglais.Pays: Etats Unis.Éditeur : New York : Springer, cop. 1998Description : 1 vol. (XII-499 p.) : fig. ; 25 cmISBN: 0387984879.ISSN: 0072-5285.Bibliographie : Bibliogr. p. 468-475. Index.Sujet MSC : 13Pxx, Commutative algebra - Computational aspects and applications of commutative rings
13P10, Computational aspects and applications of commutative rings, Gröbner bases; other bases for ideals and modules
14-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry
13-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra
14Q20, Computational aspects in algebraic geometry, Effectivity, complexity
En-ligne : Springerlink - ed. 2005
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 Monographie Monographie CMI
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13 COX (Browse shelf(Opens below)) Available 08291-01

Bibliogr. p. 468-475. Index

In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gröbner bases and resultants.

The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Gröbner bases. The book does not assume the reader is familiar with more advanced concepts such as modules. (Source : Springer)

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