点击选择搜索分类
首页 - 心理学- 正文
☆☆☆☆☆
||
Igor,R.Shafarevich 著
出版社: 科学出版社 ISBN:9787030166913 版次:1 商品编码:11896206 包装:精装 丛书名: 国外数学名著系列(影印版) 外文名称:Basic Notions Of Algebra 开本:5开 出版时间:2006-01-01 用纸:胶版纸 页数:258 字数:316000 正文语种:中文,英文
1.What is Algebra?
2.Fields
3.Commutative Rings
4.Homomorphisms and Ideals
5.Modules
6.Algebraic Aspects of Dimension
7.The Algebraic View of Infinitesimal Notions
8.Noncommutative Rings
9.Modules over Noncommutative Rings
10.Semisimple Modules and Rings
11.Division Algebras of Finite Rank
12.The Notion of a Group
13.Examples of Groups: Finite Groups
14.Examples of Groups: Infinite Discrete Groups
15.Examples of Groups: Lie Groups and Algebraic Groups
16.General Results of Group Theory
17.Group Representations
A.Representations of Finite Groups
B.Representations of Compact Lie Groups
18.Some Applications of Groups
A.Galois Theory
B.The Galois Theory of Linear Differential Equations (Picard Vessiot Theory)
C.Classification of Unramified Covers
D.Invariant Theory
E.Group Representations and the Classification of Elementary Particles
19.Lie Algebras and Nonassociative Algebra
A.Lie Algebras
B.Lie Theory
C.Applications of Lie Algebras
D.Other Nonassociative Algebras
20.Categories
21.Homological Algebra
A.Topological Origins of the Notions of Homological Algebra
B.Cohomology of Modules and Groups
C.Sheaf Cohomology
22.K—theory
A.Topological K—theory
B.Algebraic K—theory
Comments on the Literature
References
Index of Names
Subject Index
代数学基础 [Basic Notions Of Algebra] 电子书 下载 mobi epub pdf txt
代数学基础 [Basic Notions Of Algebra]-so88
代数学基础 [Basic Notions Of Algebra] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
Igor,R.Shafarevich 著
出版社: 科学出版社 ISBN:9787030166913 版次:1 商品编码:11896206 包装:精装 丛书名: 国外数学名著系列(影印版) 外文名称:Basic Notions Of Algebra 开本:5开 出版时间:2006-01-01 用纸:胶版纸 页数:258 字数:316000 正文语种:中文,英文
内容简介
《代数学基础》论述代数学及其在现代数学和科学中的地位,高度原创且内容充实。作者通过讨论大学代数课程,如李群、上同调、范畴论等,阐述每个代数概念的起源与物理现象及其他数学分支之间的联系。《代数学基础》为数学家必读,无论他是初学代数学还是代数学专家。目录
Preface1.What is Algebra?
2.Fields
3.Commutative Rings
4.Homomorphisms and Ideals
5.Modules
6.Algebraic Aspects of Dimension
7.The Algebraic View of Infinitesimal Notions
8.Noncommutative Rings
9.Modules over Noncommutative Rings
10.Semisimple Modules and Rings
11.Division Algebras of Finite Rank
12.The Notion of a Group
13.Examples of Groups: Finite Groups
14.Examples of Groups: Infinite Discrete Groups
15.Examples of Groups: Lie Groups and Algebraic Groups
16.General Results of Group Theory
17.Group Representations
A.Representations of Finite Groups
B.Representations of Compact Lie Groups
18.Some Applications of Groups
A.Galois Theory
B.The Galois Theory of Linear Differential Equations (Picard Vessiot Theory)
C.Classification of Unramified Covers
D.Invariant Theory
E.Group Representations and the Classification of Elementary Particles
19.Lie Algebras and Nonassociative Algebra
A.Lie Algebras
B.Lie Theory
C.Applications of Lie Algebras
D.Other Nonassociative Algebras
20.Categories
21.Homological Algebra
A.Topological Origins of the Notions of Homological Algebra
B.Cohomology of Modules and Groups
C.Sheaf Cohomology
22.K—theory
A.Topological K—theory
B.Algebraic K—theory
Comments on the Literature
References
Index of Names
Subject Index
前言/序言
代数学基础 [Basic Notions Of Algebra] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 科普图书馆 小动物的大智慧:动物特种兵 9787542762122
- 漫漫画:史记(漫画版套装共10本) [7-14岁]
- 太空探索图鉴 [英]贾尔斯·斯帕罗 朱迪思·约翰 克里斯·
- 西游记(注音版)/少儿必读金典 [7-10岁]
- 一笔创意画-新编儿童学画-儿童智能绘画-少儿美术培训机构.配套课本1-7
- 中经理财·私募之王:中国私募操盘技巧全揭秘
- 受欢迎的小秘密(6-12岁首选校园文学励志读本)/小学生校园励志系列
- 宁波高手1+2+3+4(共4册)第二版 雪峰 小美 著 炒股书籍 宁波高手(1-4) 短线
- 北京花开 韩静华
- 幼儿观察认知能力训练(套装全4册) [3-6岁]
- 发明家与发明 9787514354669
- 邦臣小红花-宝宝视觉激发卡(全2册) [0-3岁]
- 爱因斯坦奇迹年:改变物理学面貌的五篇论文
- 夹层资本理论与实务 [Product Design for Mezzanine Capital]
- 疯狂的科学 9787535781710