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[美] 莫(Moh.T.T.) 著
出版社: 世界图书出版公司 ISBN:9787506292634 版次:1 商品编码:10758848 包装:平装 外文名称:Algebra 开本:16开 出版时间:2009-01-01 用纸:胶版纸 页数:350 正文语种:英文
1 Set Theory
2 Unique Factorization Theorem
3 Congruence
4 Chinese Remainder Theorem
5 Complex Integers
6 Real Numbers and p-aclic Numbers
Chapter Ⅱ Group theory
1 Definitions
2 The Transformation Groups on Sets
3 Subgroups
4 Normal Subgroups and Inner Automorphisms
5 Automorphism Groups
6 p-Groups and Sylow Theorems
7 Jordan-Holder Theorem
8 Symmetric Group Sn
Chapter Ⅲ Polynomials
1 Fields and Rings
2 Polynomial Rings and Quotient Fields
3 Unique Factorization Theorem for Polynomials
4 Symmetric Polynomial, Resultant and Discriminant
5 Ideals
Chapter Ⅳ Linear Algebra
1 Vector Spaces
2 Basis and Dimension
3 Linear Transformation and Matrix
4 Module and Module over P.I.D
5 Jordan Canonical Form
6 Characteristic Polynomial
7 Inner Product and Bilinear form
8 Spectral Theory
Chapter Ⅴ Polynomials in One Variable and Field Theory
1 Algebraically Closed Field
2 Algebraic Extension
3 Algebraic Closure
4 Characteristic and Finite Field
5 Separable Algebraic Extension
6 Galois Theory
7 Solve Equation by Radicals
8 Field Polynomial and Field Discriminant
9 Luroth's Theorem
Appendix
A1 Set Theoretical Notations
A2 Peano's Axioms
A3 Homological Algebra
Index
代数学 [Algebra] 电子书 下载 mobi epub pdf txt
代数学 [Algebra]-so88
代数学 [Algebra] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] 莫(Moh.T.T.) 著
出版社: 世界图书出版公司 ISBN:9787506292634 版次:1 商品编码:10758848 包装:平装 外文名称:Algebra 开本:16开 出版时间:2009-01-01 用纸:胶版纸 页数:350 正文语种:英文
内容简介
The present book comes from the first part of the lecture notes I used for a first-yeargraduate algebra course at the University of Minnesota,Purdue University,and PekingUniversity.The Chinese versions of these notes were published by The Peking UniversitvPress in 1986,and by Linking Publishing Co of Taiwan in 1987.内页插图
目录
Chapter Ⅰ Set theory and Number Theory1 Set Theory
2 Unique Factorization Theorem
3 Congruence
4 Chinese Remainder Theorem
5 Complex Integers
6 Real Numbers and p-aclic Numbers
Chapter Ⅱ Group theory
1 Definitions
2 The Transformation Groups on Sets
3 Subgroups
4 Normal Subgroups and Inner Automorphisms
5 Automorphism Groups
6 p-Groups and Sylow Theorems
7 Jordan-Holder Theorem
8 Symmetric Group Sn
Chapter Ⅲ Polynomials
1 Fields and Rings
2 Polynomial Rings and Quotient Fields
3 Unique Factorization Theorem for Polynomials
4 Symmetric Polynomial, Resultant and Discriminant
5 Ideals
Chapter Ⅳ Linear Algebra
1 Vector Spaces
2 Basis and Dimension
3 Linear Transformation and Matrix
4 Module and Module over P.I.D
5 Jordan Canonical Form
6 Characteristic Polynomial
7 Inner Product and Bilinear form
8 Spectral Theory
Chapter Ⅴ Polynomials in One Variable and Field Theory
1 Algebraically Closed Field
2 Algebraic Extension
3 Algebraic Closure
4 Characteristic and Finite Field
5 Separable Algebraic Extension
6 Galois Theory
7 Solve Equation by Radicals
8 Field Polynomial and Field Discriminant
9 Luroth's Theorem
Appendix
A1 Set Theoretical Notations
A2 Peano's Axioms
A3 Homological Algebra
Index
前言/序言
代数学 [Algebra] 电子书 下载 mobi epub pdf txt
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