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关键词：
Using Algebraic Geometry
书目信息
ISBN：
9780387207063（13位）
中图分类号：
O1
杜威分类号：
中文译名：
应用代数几何
作者：
Cox
编者：
语种：
English
出版信息
出版社：
Springer
出版地：
出版年：
2005
版本：
2nd ed.
版本类型：
原版
丛书题名：
Graduate Texts in Mathematics Vol. 185
卷期：
文献信息
关键词：
Mathematics
前言：
摘要：
内容简介：
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 Groebner 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 Groebner bases. The book does not assume the reader is f amiliar 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.
目次：
Introduction.- Solving Polynomial Equations.- Resultants.- Computation in Local Rings.- Modules.- Free Resolutions.- Polytopes, Resultants and Equations.- Integer Programming, Combinatorics and Splines.- Algebraic Coding Theory.- The Berlekamp-Massey-Sakata Decoding Algorithm.
附录：
全文链接：
读者对象：
grad.
实体信息
页码：
装帧：
hard
尺寸：
其它形态细节：
其它信息
原价：
EUR
89.9500
原版ISBN：
其它ISBN：
图书特色：
书评：
扩展信息
Isbn：
0387207066
issue：
2006JC01
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