| 书目名称 | Using Algebraic Geometry |
| 编辑 | David A. Cox,John Little,Donal O’shea |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | 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. 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 Gröbner bases. The book does not assume the reader is familiar with more advanced concepts such as modules. For this new edition the authors added two new sections and a new chapter, updated the references and made numerous minor improvements throughout the text. |
| 出版日期 | Textbook 2005Latest edition |
| 关键词 | Splines; algorithms; coding theory; combinatorics; computer; geometry; programming |
| 版次 | 2 |
| doi | https://doi.org/10.1007/b138611 |
| isbn_softcover | 978-0-387-20733-9 |
| isbn_ebook | 978-0-387-27105-7Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer-Verlag New York 2005 |
发表于 2025-3-21 17:29:09
