Using Algebraic Geometry: Vol 185 (Graduate Texts in Mathematics) - Softcover

Cox, David A.; Little, J.B.; O'Shea, D.B.

Softcover

ISBN 10: 0387984925 ISBN 13: 9780387984926

Publisher: Springer-Verlag New York Inc., 1998

Synopsis

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 Gr"obner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. 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 Gr"obner bases. The book does not assume the reader is familiar with more advanced concepts such as modules.

About this title

Review

"The informative introductions, illustrations, and an excellent short bibliography make this a very useful book for both specialists and students from high school to the university level." "--Choice

Edition details

• Publisher: Springer-Verlag New York Inc.
• Publication date: 1998
• Language: English
• ISBN 10: 0387984925
• ISBN 13: 9780387984926
• Binding: Paperback
• Number of pages: 520