數學經典教材（影印版）：理想、簇與算法（第3版） 下載 mobi epub pdf 電子書 2025

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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

數學經典教材（影印版）：理想、簇與算法（第3版） 下載 mobi epub pdf txt 電子書 格式

評分☆☆☆☆☆

非常非常好

評分☆☆☆☆☆

好書必看，就是貴點……

評分☆☆☆☆☆

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

評分☆☆☆☆☆

好書必看，就是貴點……

評分☆☆☆☆☆

超級經典，超級經典，超級經典！

評分☆☆☆☆☆

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

評分☆☆☆☆☆

超級經典，超級經典，超級經典！

評分☆☆☆☆☆

最露臉的鳳姐，老太太說一句就得忙忙地迴應。提到軟煙羅，“早命人取瞭一匹來瞭”。又故意暴露點關於麵料的小無知，引齣領導的宏論，讓他過一把博聞強識的癮。王夫人、薛姨媽在一旁陪笑作答不在話下。

評分☆☆☆☆☆

最露臉的鳳姐，老太太說一句就得忙忙地迴應。提到軟煙羅，“早命人取瞭一匹來瞭”。又故意暴露點關於麵料的小無知，引齣領導的宏論，讓他過一把博聞強識的癮。王夫人、薛姨媽在一旁陪笑作答不在話下。

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