數學經典教材(影印版):理想、簇與算法(第3版)

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[美] D.考剋斯(David Cox) 著
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齣版社: 世界圖書齣版公司
ISBN:9787510058400
版次:3
商品編碼:11316304
包裝:平裝
開本:24開
齣版時間:2013-03-01
用紙:膠版紙
頁數:551
正文語種:英文

具體描述

內容簡介

  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.

內頁插圖

目錄

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



用戶評價

評分

經典教材瞭,不錯不錯。

評分

經典教材瞭,不錯不錯。

評分

好書必看,就是貴點……

評分

質量還湊閤啦

評分

適閤高年級本科生和低年級研究生,從算法的角度闡述代數幾何的基本概念和計算問題。非常經典!

評分

超級經典,超級經典,超級經典!

評分

超級經典,超級經典,超級經典!

評分

很好

評分

好書必看,就是貴點……

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