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关键词：
Introduction to Algebraic Geometry
书目信息
ISBN：
9780521870948（13位）
中图分类号：
O1
杜威分类号：
中文译名：
代数几何绪论
作者：
Brendan Hassett
编者：
语种：
English
出版信息
出版社：
Cambridge University Press
出版地：
出版年：
2007
版本：
版本类型：
原版
丛书题名：
卷期：
文献信息
关键词：
前言：
摘要：
内容简介：
Algebraic geometry, central to pure mathematics, has important applications in such fields as engineering, computer science, statistics and computational biology, which exploit the computational algorithms that the theory provides. Users get the full benefit, however, when they know something of the underlying theory, as well as basic procedures and facts. This book is a systematic introduction to the central concepts of algebraic geometry most useful for computation. Written for advanced undergraduate and graduate students in mathematics and researchers in application areas, it focuses on specific examples and restricts development of formalism to what is needed to address these examples. In particular, it introduces the notion of Gr?bner bases early on and develops algorithms for almost everything covered. It is based on courses given over the past five years in a large interdisciplinary programme in computational algebraic geometry at Rice University, spanning mathematics, computer science, biomathematics and bioinformatics.
目次：
Introduction; 1. Guiding problems; 2. Division algorithm and Gr?bner bases; 3. Affine varieties; 4. Elimination; 5. Resultants; 6. Irreducible varieties; 7. Nullstellensatz; 8. Primary decomposition; 9. Projective geometry; 10. Projective elimination theory; 11. Parametrizing linear subspaces; 12. Hilbert polynomials and Bezout; Appendix. Notions from abstract algebra; References; Index.
附录：
全文链接：
读者对象：
graduate students, undergraduate students, academic researchers
实体信息
页码：
265
装帧：
Hardback
尺寸：
其它形态细节：
其它信息
原价：
USD
99.0000
原版ISBN：
其它ISBN：
图书特色：
书评：
扩展信息
Isbn：
0521870941
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