基本信息
- 原书名：Arithmetic of Quadratic Forms
- 作者： Goro Shimura （志村五郎，美）
- 出版社：世界图书出版公司
- ISBN：9787519214784
- 上架时间：2016-12-9
- 出版日期：2016 年12月
- 开本：24开
- 页码：252
- 版次：1-1
- 所属分类：数学 > 代数，数论及组合理论 > 综合
编辑推荐
《二次型算术(英文版)》由世界图书出版公司北京公司出版。
内容简介
作译者
本书是Springer Monographs in Mathematics 之一,作者Goro Shimura （志村五郎，美）系美国普林斯顿大学教授.
目录
Preface
Notation and terminology
Chapter Ⅰ.The quadratic reciprocity law
1.Elementary facts
2.Structure of （Z／mZ）
3.The quadratic reciprocity law
4.Lattices in a vector space
5.Modules over a principal ideal domain
Chapter Ⅱ.Arithmetic in an algebraic number field
6.Valuations and p—adic numbers
7.Hensel's lemma and its applications
8.Integral elements in algebraic extensions
9.Order functions in algebraic extensions
10.Ideal theory in an algebraic number field
Chapter Ⅲ.Various basic theorems
11.The tensor product of fields
12.Units and the class number of a number field
13.Ideals in an extension of a number field
14.The discriminant and different
15.Adeles and ideles
Notation and terminology
Chapter Ⅰ.The quadratic reciprocity law
1.Elementary facts
2.Structure of （Z／mZ）
3.The quadratic reciprocity law
4.Lattices in a vector space
5.Modules over a principal ideal domain
Chapter Ⅱ.Arithmetic in an algebraic number field
6.Valuations and p—adic numbers
7.Hensel's lemma and its applications
8.Integral elements in algebraic extensions
9.Order functions in algebraic extensions
10.Ideal theory in an algebraic number field
Chapter Ⅲ.Various basic theorems
11.The tensor product of fields
12.Units and the class number of a number field
13.Ideals in an extension of a number field
14.The discriminant and different
15.Adeles and ideles
书摘
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