数学经典教材（影印版）：理想、簇与算法（第3版） pdf epub mobi txt 电子书 下载 2025

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[美] D.考克斯（David Cox） 著

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出版社： 世界图书出版公司

ISBN：9787510058400

版次：3

商品编码：11316304

包装：平装

开本：24开

出版时间：2013-03-01

用纸：胶版纸

页数：551

正文语种：英文

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.

内页插图

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

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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。

评分☆☆☆☆☆

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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超级经典，超级经典，超级经典！

评分☆☆☆☆☆

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。

评分☆☆☆☆☆

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。

评分☆☆☆☆☆

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

评分☆☆☆☆☆

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

评分☆☆☆☆☆

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。