Details:
Title  Gröbner bases: a computational approach to commutative algebra  Author(s)  Thomas Becker, Heinz Kredel, Volker Weispfenning  Type  Book, Chapter in Book, Conference Proceeding  Abstract  This book provides a comprehensive treatment of Gröbner bases theory embedded in an introduction to commutative algebra from a computational point of view. The centerpiece of Gröbner bases theory is the Buchberger algorithm, which provides a common generalization of the Euclidean algorithm and the Gaussian elimination algorithm to multivariate polynomial rings. The book explains how the Buchberger algorithm and the theory surrounding it are eminently important both for the mathematical theory and for computational applications. A number of results such as optimized version of the Buchberger algorithm are presented in textbook format for the first time.
This book requires no prerequisites other than the mathematical maturity of an advanced undergraduate and is therefore well suited for use as a textbook. At the same time, the comprehensive treatment makes it a valuable source of reference on Gröbner bases theory for mathematicians, computer scientists, and others. Placing a strong emphasis on algorithms and their verification, while making no sacrifices in mathematical rigor, the book spans a bridge between mathematics and computer science.  Length  574  ISBN  0387979719 
Language  English  Publisher  SpringerVerlag  Address  London, UK  Year  1993  Month  April  Edition  0  Translation 
No  Refereed 
Yes 
