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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

評分☆☆☆☆☆

很好的書，內容詳細，包裝也不錯。快遞也很給力。

評分☆☆☆☆☆

很好的書，內容詳細，包裝也不錯。快遞也很給力。

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！

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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。

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評分☆☆☆☆☆

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評分☆☆☆☆☆

挺好！挺好！挺好！挺好！挺好！

評分☆☆☆☆☆

超級經典，超級經典，超級經典！

評分☆☆☆☆☆

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。

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