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内容简介

　　The book assumes that the students will have access to a computer algebra system.Appendix C describes the features of AXIOM， Maple， Mathematica， and REDUCE that are most relevant to the text. We do not assume any prior experience with a com-puter. However， many of the algorithms in the book are described in pseudocode， which may be unfamiliar to students with no background in programming. Appendix B con-tains a careful descripLion of the pseudocode that we use in the text.

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目录

Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
1 Geometry, Algebra, and Algoritlnns
1. Polynomials and Affine Space
2. Affine Varieties
3. Parametrizations of Affine Varieties
4. Ideals
5. Polynomials of One Variable
2. Groebner Bases

2. Orderings on the Monomials in k[xl xn]
1. Introduction
3. A Division Algorithm in k[xl Xn]
4. Monomial Ideals and Dickson's Lemma
5. The Hilbert Basis Theorem and Groebner Bases
6. Properties of Groebner Bases
7. Buchberger's Algorithm
8. First Applications of Groebner Bases
9. (Optional) Improvements on Buchberger's Algorithm
3. Elimination Theory
1. The Elimination and Extension Theorems
2. The Geometry of Elimination
3. Implicitization
4. Singular Points and Envelopes
5. Unique Factorization and Resultants
6. Resultants and the Extension Theorem
……
3. Elimination Theory
4. The Algebra-Geometry Dictionary
5. Polynomial and Rational Functions on a Variety
6. Robotics and Automatic Geometric Theorem Proving
7. Invariant Theory of Finite Groups
8. Projective Algebraic Geometry
9. The Dimension of a Variety
Appendix A.Some Concepts From Algebra
Appendix B.Pseudocode
Appendix C.Computer Algebra Systems
Appendix D.Independent Projects
References
Index

前言/序言

数学经典教材（影印版）：理想、簇与算法（第3版） 电子书 下载 mobi epub pdf txt

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最露脸的凤姐，老太太说一句就得忙忙地回应。提到软烟罗，“早命人取了一匹来了”。又故意暴露点关于面料的小无知，引出领导的宏论，让他过一把博闻强识的瘾。王夫人、薛姨妈在一旁陪笑作答不在话下。

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超级经典，超级经典，超级经典！

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大老板兴起游园，前呼后拥者众，但有头有脸的陪同并有资格应对的不过是王夫人、薛姨妈、凤姐，以及拿来凑趣取乐的刘姥姥和一等秘书鸳鸯。小一辈里，唯探春在贾母借故告辞前笑道：“求着老太太姨太太来坐坐还不能呢。”游经潇湘馆和蘅芜苑，黛、钗二人均无话。其他的不要说露个脸答个话，连名字都捞不着提。

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老外的书确实不错，只是有点贵。

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超级经典，超级经典，超级经典！

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好书必看，就是贵点……

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适合高年级本科生和低年级研究生，从算法的角度阐述代数几何的基本概念和计算问题。非常经典！

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非常非常好

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