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

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

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

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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） epub pdf mobi txt 电子书 下载 2025

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

评分☆☆☆☆☆

挺好！挺好！挺好！挺好！挺好！

评分☆☆☆☆☆

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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很好

评分☆☆☆☆☆

经典教材了，不错不错。

评分☆☆☆☆☆

老外的书确实不错，只是有点贵。

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质量还凑合啦

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评分☆☆☆☆☆

很好

评分☆☆☆☆☆

超级经典，超级经典，超级经典！

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