点击选择搜索分类
首页 - 广播- 正文
☆☆☆☆☆
||
[美] 奇尔德雷斯(Nancy Childress) 著
出版社: 世界图书出版公司 ISBN:9787510070211 版次:1 商品编码:11419300 包装:平装 外文名称:Class Field Theory 开本:24开 出版时间:2014-03-01 用纸:胶版纸 页数:226 正文语种:英文
1. Number Fields
2. Completions of Number Fields
3. Some General Questions Motivating Class Field Theory
2. Dirichlefs Theorem on Primes in Arithmetic Progressions
1. Characters of Finite Abelian Groups
2. Dirichlet Characters
3. Dirichlet Series
4. Dirichlet抯 Theorem on Primes in Arithmetic Progressions
5. Dirichlet Density
3. Ray Class Groups
1. The Approximation Theorem and Infinite Primes
2. Ray Class Groups and the Universal Norm Index Inequality
3. The Main Theorems of Class Field Theory
4. The Idelic Theory
1. Places of a Number Field
2. A Little Topology
3. The Group of Id^ies of a Number Field
4. Cohomology of Finite Cyclic Groups and the Herbrand Quotient
5. Cyclic Galois Action on Ideles
5. Artin Reciprocity
1. The Conductor of an Abelian Extension of Number Fields and the Artin Symbol
2. Artin Reciprocity
3. An Example: Quadratic Reciprocity
4. Some Preibmnary Results about the Artin Map on Local Fields
6. The Existence Theorem, Consequences and Applications
1. The Ordering Theorem and the Reduction Lemma
2. Kummer n-extensions and the Proof of the Existence Theorem
3. The Artin Map on Local Fields
4. The Hilbert Class Field
5. Arbitrary Finite Extensions of Number Fields
6. Infinite Extensions and an Alternate Proof of the Existence Theorem
7. An Example; Cyclotomic Fields
7. Local Class Field Theory
1. Some Preliminary Facts About Local Fields
2. A Fundamental Exact Sequence
3. Local Units Modulo Norms
4. One-Dimensional Formal Group Laws
5. The Formal Group Laws of Lubin and Tate
6. Lubin-Tate Extensions
7. The Local Artin Map
Bibliography
Index
类域论(英文版) [Class Field Theory] 电子书 下载 mobi epub pdf txt
类域论(英文版) [Class Field Theory]-so88
类域论(英文版) [Class Field Theory] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] 奇尔德雷斯(Nancy Childress) 著
出版社: 世界图书出版公司 ISBN:9787510070211 版次:1 商品编码:11419300 包装:平装 外文名称:Class Field Theory 开本:24开 出版时间:2014-03-01 用纸:胶版纸 页数:226 正文语种:英文
内容简介
《类域论(英文版)》将gauss、legendre和其他的二次和更高阶的互反率巧妙结合,并将这些结果更加一般化,是学习类域理论的入门书籍。《类域论(英文版)》运用传统方法和原始技巧呈现书中的材料,思路清晰流畅,是这个领域的图书很难企及的。《类域论(英文版)》可以作为代数数论的研究生教程,尤其适合自学。书中有大量的练习贯穿始终,已经被证明了是一本很成功的教材。内页插图
目录
1. A Brief Review1. Number Fields
2. Completions of Number Fields
3. Some General Questions Motivating Class Field Theory
2. Dirichlefs Theorem on Primes in Arithmetic Progressions
1. Characters of Finite Abelian Groups
2. Dirichlet Characters
3. Dirichlet Series
4. Dirichlet抯 Theorem on Primes in Arithmetic Progressions
5. Dirichlet Density
3. Ray Class Groups
1. The Approximation Theorem and Infinite Primes
2. Ray Class Groups and the Universal Norm Index Inequality
3. The Main Theorems of Class Field Theory
4. The Idelic Theory
1. Places of a Number Field
2. A Little Topology
3. The Group of Id^ies of a Number Field
4. Cohomology of Finite Cyclic Groups and the Herbrand Quotient
5. Cyclic Galois Action on Ideles
5. Artin Reciprocity
1. The Conductor of an Abelian Extension of Number Fields and the Artin Symbol
2. Artin Reciprocity
3. An Example: Quadratic Reciprocity
4. Some Preibmnary Results about the Artin Map on Local Fields
6. The Existence Theorem, Consequences and Applications
1. The Ordering Theorem and the Reduction Lemma
2. Kummer n-extensions and the Proof of the Existence Theorem
3. The Artin Map on Local Fields
4. The Hilbert Class Field
5. Arbitrary Finite Extensions of Number Fields
6. Infinite Extensions and an Alternate Proof of the Existence Theorem
7. An Example; Cyclotomic Fields
7. Local Class Field Theory
1. Some Preliminary Facts About Local Fields
2. A Fundamental Exact Sequence
3. Local Units Modulo Norms
4. One-Dimensional Formal Group Laws
5. The Formal Group Laws of Lubin and Tate
6. Lubin-Tate Extensions
7. The Local Artin Map
Bibliography
Index
前言/序言
类域论(英文版) [Class Field Theory] 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
- 澳洲鸟类 9787568233187
- 东方画谱宋代山水画菁华高清摹本赤壁图
- 双螺旋:插图注释本 9787213076107
- 【中商原版】小屁孩树屋历险记4册 13-52层故事 英文原版儿童读物 英文版 英文原版书
- 华东野外观花手册 李敏, 刘军著
- 张大千画集 礼盒彩印16开共2卷中国现代名家画集荷花鸟山水国画装饰画人物临摹敦煌壁画
- 一口气读懂常识丛书:一口气读懂化学常识 《一口气读懂化学常识》编写组
- 正版包邮2017中国油画家第17辑 蔡国胜 国美大师 油画合集 绘画美术油画 作品收藏 鉴赏画画书籍
- 如何饲养小宠物(一)-小牛顿百科馆
- 新手学漫画素描技法从入门到精通 美术绘画书 美少女漫画素描技巧教程书籍 漫画素描技
- 探索学科科学奥秘丛书:有趣的生物 《探索学科科学奥秘丛书》编委会
- Biscuit Visits the Doctor小饼干去看医生 [平装] [4-8岁]
- “人与地球的明天”科普书系 大地之美:千姿百态的地貌 北京出版集团公司,北京出版社
- Marvin Redpost: Super Fast, out of Control! [平装] [6-9岁]
- 恐龙时代的故事