算術教程(英文版) [A Course in Arithmetic] epub pdf  mobi txt 電子書 下載

算術教程(英文版) [A Course in Arithmetic] epub pdf mobi txt 電子書 下載 2025

算術教程(英文版) [A Course in Arithmetic] epub pdf mobi txt 電子書 下載 2025


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齣版社: 世界圖書齣版公司
ISBN:9787510005350
版次:1
商品編碼:10184600
包裝:平裝
外文名稱:A Course in Arithmetic
開本:24開
齣版時間:2009-08-01
用紙:膠版紙
頁數:115
正文語種:英語

算術教程(英文版) [A Course in Arithmetic] epub pdf mobi txt 電子書 下載 2025



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內容簡介

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.

內頁插圖

目錄

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.

算術教程(英文版) [A Course in Arithmetic] epub pdf mobi txt 電子書 下載 2025

算術教程(英文版) [A Course in Arithmetic] 下載 epub mobi pdf txt 電子書

算術教程(英文版) [A Course in Arithmetic] pdf 下載 mobi 下載 pub 下載 txt 電子書 下載 2025

算術教程(英文版) [A Course in Arithmetic] mobi pdf epub txt 電子書 下載 2025

算術教程(英文版) [A Course in Arithmetic] epub pdf mobi txt 電子書 下載
想要找書就要到 靜思書屋
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

讀者評價

評分

物流快,貨品質量好,推薦京東!

評分

評分

法國著名數學傢serre的經典之作,數論方麵的初級教材,適閤初學者

評分

  讀者對象:數學專業的高年級本科生、研究生和相關專業的學者

評分

Springer的書必屬經典

評分

非常好的一本書,大贊?

評分

算術是數學的一個分支,其內容包括自然數和在各種運算下産生的性質,運算法則以及在實際中的應用。可是,在數學發展的曆史中算術的含義要廣泛得多。

評分

拉丁文的“算術”這個詞是由希臘文的“數和數(音屬,shû三音)數的技術”變化而來的。“算”字在中國的古意也是“數”的意思,錶示計算用的竹籌。中國古代的復雜數字計算都要用算籌。所以“算術”包含當時的全部數學知識與計算技能,流傳下來的最古老的《九章算術》以及失傳的許商《算術》和杜忠《算術》,就是討論各種實際的數學問題的求解方法。

評分

書很好,發貨快,很滿意。這本書書很好!推薦大傢都看看!收到非常欣喜!快遞一天就到瞭!支持京東!

算術教程(英文版) [A Course in Arithmetic] epub pdf mobi txt 電子書 下載 2025

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算術教程(英文版) [A Course in Arithmetic] epub pdf mobi txt 電子書 下載 2025


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