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
数学经典教材(影印版):理想、簇与算法(第3版) 下载 mobi epub pdf txt 电子书 格式
评分
☆☆☆☆☆
挺好!挺好!挺好!挺好!挺好!
评分
☆☆☆☆☆
好书必看,就是贵点……
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!
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
☆☆☆☆☆
京东上的东西我觉得非常好,我的所有东西都在京东上面买的,送货速度非常快,买了东西就知道什么时候来,我在京东买东西好多年了,京东的东西都是正品,售后服务特别好,我太喜欢了!这次买的东西还是一如继往的好,买了我就迫不及待的打开,确实很不错,我真是太喜欢了。在京东消费很多,都成钻石会员了,哈哈,以后还会买,所有的东西都在京东买,京东商城是生活首选!
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
☆☆☆☆☆
经典教材了,不错不错。
评分
☆☆☆☆☆
京东上的东西我觉得非常好,我的所有东西都在京东上面买的,送货速度非常快,买了东西就知道什么时候来,我在京东买东西好多年了,京东的东西都是正品,售后服务特别好,我太喜欢了!这次买的东西还是一如继往的好,买了我就迫不及待的打开,确实很不错,我真是太喜欢了。在京东消费很多,都成钻石会员了,哈哈,以后还会买,所有的东西都在京东买,京东商城是生活首选!
评分
☆☆☆☆☆
非常非常好