《Using Algebraic Geometry》是1998年Springer出版的圖書,作者是David A. Cox、 John B. Little、Donal B. O'Shea。
基本介紹
- 中文名:Using Algebraic Geometry
- 作者:David A. Cox、 John B. Little、Donal B. O'Shea
- 出版社:Springer
- 出版時間:1998年8月13日
- 頁數:520 頁
- ISBN:9780387984926
內容簡介
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.