An Introduction to Grobner Bases (Graduate Studies in Mathematics) - Hardcover

Adams, William W.; Loustaunau, Philippe

Hardcover

ISBN 10: 0821838040 ISBN 13: 9780821838044

Publisher: American Mathematical Society, 1994

Synopsis

As the primary tool for doing explicit computations in polynomial rings in many variables, Grobner bases are an important component of all computer algebra systems. They are also important in computational commutative algebra and algebraic geometry. This book provides a leisurely and fairly comprehensive introduction to Grobner bases and their applications.Adams and Loustaunau cover the following topics: the theory and construction of Grobner bases for polynomials with coefficients in a field, applications of Grobner bases to computational problems involving rings of polynomials in many variables, a method for computing syzygy modules and Grobner bases in modules, and the theory of Grobner bases for polynomials with coefficients in rings. With over 120 worked out examples and 200 exercises, this book is aimed at advanced undergraduate and graduate students. It would be suitable as a supplement to a course in commutative algebra or as a textbook for a course in computer algebra or computational commutative algebra. This book would also be appropriate for students of computer science and engineering who have some acquaintance with modern algebra.

About this title

Product Description

An Introduction to Grobner Bases As the primary tool for doing explicit computations in polynomial rings in many variables, Grobner bases are an important component of various computer algebra systems. They are also important in computational commutative algebra and algebraic geometry. This book offers a comprehensive introduction to Grobner bases and their applications.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1994
• Language: English
• ISBN 10: 0821838040
• ISBN 13: 9780821838044
• Binding: Hardcover
• Number of pages: 289