理想、簇与算法 第3版
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作者考克斯
出版社世界图书出版公司
ISBN9787510058400
出版时间2013-03
版次1
装帧平装
开本16开
纸张胶版纸
页数551页
定价89元
上书时间2024-08-01
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基本信息
书名:理想、簇与算法 第3版
定价：89元
作者:考克斯
出版社：世界图书出版公司
出版日期：2013-03-01
ISBN：9787510058400
字数：
页码：551
版次：1
装帧：平装
开本：24开
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内容提要
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.
目录
Preface to the First Editio
Preface to the Second Editio
Preface to the Third Editio
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
1. Introductio
2. Orderings on the Monomials in k[xl xn]
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 Eliminatio
3, Implicitizatio
4. Singular Points and Envelopes
5. Unique Factorization and Resultants
6. Resultants and the Extension Theorem
……
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