算术教程（英文版） [A Course in Arithmetic] epub pdf mobi txt 电子书 下载 2024

算术教程（英文版） [A Course in Arithmetic] epub pdf mobi txt 电子书 下载 2024

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算术教程（英文版） [A Course in Arithmetic] epub pdf mobi txt 电子书 下载 2024

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内容简介

The first one is purely algebraic. Its objective is the classification ofquadratic forms over the field of rational numbers （Hasse-Minkowskitheorem）. It is achieved in Chapter IV. The first three chapters contain somepreliminaries： quadratic reciprocity law， p-adic fields， Hilbert symbols.Chapter V applies the preceding results to integral quadratic forms indiscriminant + 1. These forms occur in various questions： modular functions，differential topology， finite groups. The second part （Chapters VI and VII） uses "analytic" methods （holomor-phic functions）. Chapter VI gives the proof of the "theorem on arithmeticprogressions" due to Dirichlet; this theorem is used at a critical point in thefirst part （Chapter 111， no. 2.2）. Chapter VII deals with modular forms，and in particular， with theta functions. Some of the quadratic forms ofChapter V reappear here.

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目录

Preface
Part I-Algebraic Methods
ChapterI Finite fields
1-Generalities
2-Equations over a finite field
3-Quadratic reciprocity law
Appendix-Another proof of the quadratic reciprocity law
Chapter II p-adic fields
1-The ring Zp and the field
2-p-adic equations
3-The multiplicative group of
Chapter II nHilbert symbol
1-Local properties
2-Global properties
Chapter IV Quadratic forms over Qp and over Q
1-Quadratic forms
2-Quadratic forms over Q
3-Quadratic forms over Q
Appendix Sums of three squares
Chapter V Integral quadratic forms with discriminant
1-Preliminaries
2-Statement of results
3-Proofs
Part II-Analytic Methods
Chapter VI-The theorem on arithmetic progressions
1-Characters of finite abelian groups
2-Dirichlet series
3-Zeta function and L functions
4-Density and Dirichlet theorem
Chapter Vll-Modular forms
1-The modular group
2-Modular functions
3-The space of modular forms
4-Expansions at infinity
5-Hecke operators
6-Theta functions
Bibliography
Index of Definitions
Index of Notations

前言/序言

　　This book is divided into two parts.
　　The first one is purely algebraic. Its objective is the classification ofquadratic forms over the field of rational numbers （Hasse-Minkowskitheorem）. It is achieved in Chapter IV. The first three chapters contain somepreliminaries： quadratic reciprocity law， p-adic fields， Hilbert symbols.Chapter V applies the preceding results to integral quadratic forms indiscriminant + 1. These forms occur in various questions： modular functions，differential topology， finite groups.　 The second part （Chapters VI and VII） uses "analytic" methods （holomor-phic functions）. Chapter VI gives the proof of the "theorem on arithmeticprogressions" due to Dirichlet; this theorem is used at a critical point in thefirst part （Chapter 111， no. 2.2）. Chapter VII deals with modular forms，and in particular， with theta functions. Some of the quadratic forms ofChapter V reappear here.
　　The two parts correspond to lectures given in 1962 and 1964 to secondyear students at the Ecole Normale Superieure. A redaction of these lecturesin the form of duplicated notes， was made by J.-J. Saosuc （Chapters l-IV）and J.-P. Ramis and G. Ruget （Chapters VI-VIi）. They were very useful tome; I extend here my gratitude to their authors.

算术教程（英文版） [A Course in Arithmetic] epub pdf mobi txt 电子书 下载 2024

算术教程（英文版） [A Course in Arithmetic] 下载 epub mobi pdf txt 电子书 2024

评分☆☆☆☆☆

　　读者有一定的基本同调代数和代数拓扑知识就可以理解本书。每章末都附有练习，这些可以帮助学生更好的理解书中的知识体系。附录给出了部分习题的解答。第二版中在内容上做了较大的改动，增加了80多例子和大量更深层次的内容，如，Cech上同调、Oliver变换、插值理论、广义流形、局部齐性空间、同调纤维和p进变换群。目次：层和准层；层上同调；与其他上同调定理的比较；谱序列的应用；Borel-Moore同调；上层和ech同调。

评分☆☆☆☆☆

看看歪果仁怎么讲算术。

评分☆☆☆☆☆

国外系统地整理前人数学知识的书，要算是希腊的欧几里得的《几何原本》最早。《几何原本》全书共十五卷，后两卷是后人增补的。全书大部分是属于几何知识，在第七、八、九卷中专门讨论了数的性质和运算，属于算术的内容。

评分☆☆☆☆☆

短小精悍，名家经典。

评分☆☆☆☆☆

　　读者有一定的基本同调代数和代数拓扑知识就可以理解本书。每章末都附有练习，这些可以帮助学生更好的理解书中的知识体系。附录给出了部分习题的解答。第二版中在内容上做了较大的改动，增加了80多例子和大量更深层次的内容，如，Cech上同调、Oliver变换、插值理论、广义流形、局部齐性空间、同调纤维和p进变换群。目次：层和准层；层上同调；与其他上同调定理的比较；谱序列的应用；Borel-Moore同调；上层和ech同调。

评分☆☆☆☆☆

　　读者有一定的基本同调代数和代数拓扑知识就可以理解本书。每章末都附有练习，这些可以帮助学生更好的理解书中的知识体系。附录给出了部分习题的解答。第二版中在内容上做了较大的改动，增加了80多例子和大量更深层次的内容，如，Cech上同调、Oliver变换、插值理论、广义流形、局部齐性空间、同调纤维和p进变换群。目次：层和准层；层上同调；与其他上同调定理的比较；谱序列的应用；Borel-Moore同调；上层和ech同调。

评分☆☆☆☆☆

　　读者有一定的基本同调代数和代数拓扑知识就可以理解本书。每章末都附有练习，这些可以帮助学生更好的理解书中的知识体系。附录给出了部分习题的解答。第二版中在内容上做了较大的改动，增加了80多例子和大量更深层次的内容，如，Cech上同调、Oliver变换、插值理论、广义流形、局部齐性空间、同调纤维和p进变换群。目次：层和准层；层上同调；与其他上同调定理的比较；谱序列的应用；Borel-Moore同调；上层和ech同调。

评分☆☆☆☆☆

一块买了几本书，结果每本书品相都不怎么样，是不是觉得买的多，给你差一点的也无所谓。

评分☆☆☆☆☆

国外系统地整理前人数学知识的书，要算是希腊的欧几里得的《几何原本》最早。《几何原本》全书共十五卷，后两卷是后人增补的。全书大部分是属于几何知识，在第七、八、九卷中专门讨论了数的性质和运算，属于算术的内容。

类似图书 点击查看全场最低价