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

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☆☆☆☆☆

[美] D.考剋斯（David Cox） 著

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

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

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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☆☆☆☆☆

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評分☆☆☆☆☆

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大老闆興起遊園，前呼後擁者眾，但有頭有臉的陪同並有資格應對的不過是王夫人、薛姨媽、鳳姐，以及拿來湊趣取樂的劉姥姥和一等秘書鴛鴦。小一輩裏，唯探春在賈母藉故告辭前笑道：“求著老太太姨太太來坐坐還不能呢。”遊經瀟湘館和蘅蕪苑，黛、釵二人均無話。其他的不要說露個臉答個話，連名字都撈不著提。

評分☆☆☆☆☆

數學經典教材（影印版）：理想、簇與算法，好書！

評分☆☆☆☆☆

好書必看，就是貴點……

評分☆☆☆☆☆

數學經典教材（影印版）：理想、簇與算法，好書！

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