Primes of the Form X2+ny2 pdf epub mobi txt 電子書 下載2025
- 數學
- Algebra
- 代數數論
- 代數
- 二次型
- Cox
- 英文
- 數論
- 數論
- 素數
- 二次型
- 丟番圖方程
- 代數數論
- 模形式
- 橢圓麯綫
- 費馬大定理
- 高斯整數
- 算術幾何
具體描述
Written for readers with modest mathematical backgrounds, this book contains numerous exercises and examples at varied levels and provides a well-motivated introduction to the classical formulation of class field theory--placing great importance on the explicit numerical example to illustrate the power of basic theorems in various situations. It includes an elementary treatment of quadratic forms and genus theory; addresses when a prime p is of the form x2+ny2; features new coverage of Shimura reciprocity law; and includes simultaneous treatment on elementary and advanced aspects of number theory.
著者簡介
DAVID A. COX, PhD, is William J. Walker Professor of Mathematics in the Department of Mathematics at Amherst College.
圖書目錄
Preface to the Second Edition xi
Notation xiii
Introduction 1
Chapter One: From Fermat to Gauss
Chapter Two: Class Field Theory
Chapter Three: Complex Multiplication
Chapter Four: Additional Topics
Refrences
Additional References
Index
· · · · · · (收起)
讀後感
Bhargava写过论文<higher composition laws>，就是以 Gauss composition,为基础，构造higher analogues of Gauss composition,以探索在其他代数环（域）上相似结构的可能。Gauss composition 是理解 二次域上的ideal class groups的最好方式，而这些similar laws of comp...
評分Bhargava写过论文<higher composition laws>，就是以 Gauss composition,为基础，构造higher analogues of Gauss composition,以探索在其他代数环（域）上相似结构的可能。Gauss composition 是理解 二次域上的ideal class groups的最好方式，而这些similar laws of comp...
評分Bhargava写过论文<higher composition laws>，就是以 Gauss composition,为基础，构造higher analogues of Gauss composition,以探索在其他代数环（域）上相似结构的可能。Gauss composition 是理解 二次域上的ideal class groups的最好方式，而这些similar laws of comp...
評分Bhargava写过论文<higher composition laws>，就是以 Gauss composition,为基础，构造higher analogues of Gauss composition,以探索在其他代数环（域）上相似结构的可能。Gauss composition 是理解 二次域上的ideal class groups的最好方式，而这些similar laws of comp...
評分Bhargava写过论文<higher composition laws>，就是以 Gauss composition,为基础，构造higher analogues of Gauss composition,以探索在其他代数环（域）上相似结构的可能。Gauss composition 是理解 二次域上的ideal class groups的最好方式，而这些similar laws of comp...
用戶評價
是class field theory最好的入門書，neukirch也有相關方麵的兩本書，一本<<algebraic number theory>>和<<class field theory>>但觀點很高也很抽象。這本每章都為瞭解決一個數論問題而開始，把讀者一步步引到謎底，具體的逐漸融閤進抽象的框架裏。這本書的第三四章講的是complex multiplication,elliptic curve,shimura reciprocity這些主題跟modular forms 有關。感嘆一下everywhere is modular forms.想更深入的話可以分彆看neukirch和shimura的書
评分其實隻能讀懂前兩章
评分其實隻能讀懂前兩章
评分是class field theory最好的入門書，neukirch也有相關方麵的兩本書，一本<<algebraic number theory>>和<<class field theory>>但觀點很高也很抽象。這本每章都為瞭解決一個數論問題而開始，把讀者一步步引到謎底，具體的逐漸融閤進抽象的框架裏。這本書的第三四章講的是complex multiplication,elliptic curve,shimura reciprocity這些主題跟modular forms 有關。感嘆一下everywhere is modular forms.想更深入的話可以分彆看neukirch和shimura的書
评分是class field theory最好的入門書，neukirch也有相關方麵的兩本書，一本<<algebraic number theory>>和<<class field theory>>但觀點很高也很抽象。這本每章都為瞭解決一個數論問題而開始，把讀者一步步引到謎底，具體的逐漸融閤進抽象的框架裏。這本書的第三四章講的是complex multiplication,elliptic curve,shimura reciprocity這些主題跟modular forms 有關。感嘆一下everywhere is modular forms.想更深入的話可以分彆看neukirch和shimura的書
相關圖書
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