网站首页  软件下载  游戏下载  翻译软件  电子书下载  电影下载  电视剧下载  教程攻略

请输入您要查询的图书:

 

书名 数论概论(英文版第3版)/经典原版书库
分类 科学技术-自然科学-数学
作者 (美)西尔弗曼
出版社 机械工业出版社
下载
简介
编辑推荐

本书面向非数学专业学生,讲述了有关数论的知识,教给他们如何用数学方法思考问题,同时介绍了目前数学研究的前沿课题。本书采用轻松的写作风格,并包括大量数值示例。对于定理的证明,则强调证明方法而不仅仅是得到特定的结果。

本书协作风格独特,书中提供了极佳的示例,以引出定理的叙述和证明。

本书为全英文版。

目录

 Preface

 Introduction

1 What Is Number Theory?

2 Pythagorean Triples

3 Pythagorean Triples and the Unit Circle

4 Sums of Higher Powers and Fermat’S Last Theorem

5 Divisibility and the Greatest Common Divisor

6 Linear Equations and the Greatest Common Divisor

7 Factorization and the Fundamental Theorem of Arithmetic

8 Congruences

9 Congruences,Powers,and Fermat’S Little Theorem

10 Congruences,Powers,and Euler’S Formula

11 Euler’S Phi Function and the Chinese Remainder Theorem

12 Prime Numbers

13 Counting Primes

14 Mersenne Primes

15 Mersenne Primes and Perfect Numbers

16 Powers Modulo m and Successive Squaring

17 Computingk‘h Roots Modulo m

1 8 Powers,Roots。and“Unbreakable”Codes

19 Primality Testing and Carmichael Numbers

20 Euler’s Phi Function and Sums ofDivisors

21 Powers Modulo口and Primitive Roots

22 Primitive Roots and Indices

23 Squares Modulo P

24 Is一1 a Square Modulop?Is 2?

25 Quadratic Reciprocity

26 Which Primes Are Sums ofTwO Squares?

27 Which Numbers Are Sums ofTwo Squares?

28 The Equation X4+y4=Z4

29 Square-Triangular Numbers Revisited

30 Pell’S Equation

31 Diophantine Approximation

32 Diophantine Approximation and Pell’S Equation

33 Number Theory and Imaginary Numbers

34 The Gaussian Integers and Unique Factorization

35 Irrational Numbers and Transcendental Numbers

36 Binomial Coefficients and Pascal’S Triangle

37 Fibonacci’S Rabbits and Linear Recurrence Sequences

38 Oh,What a Beautiful Function

39 The Topsy—Turvy Wlorld of Continued Fractions

40 Continued Fractions,Square Roots,and Pell’S Equation

41 Generating Functions

42 Sums of Powers

43 Cubic Curves and Elliptic Curves

44 Elliptic Curves with FeW Rational Points

45 Points on Elliptic Curves Modulo P

46 Torsion Collections Modulo P and Bad Primes

47 Defect Bounds and Modularity PaRerns

48 Elliptic Curves and Fermat’S Last Theorem Further Reading

A Factorization of Small Composite Integers

B A List ofPrimes

 Index

随便看

 

霍普软件下载网电子书栏目提供海量电子书在线免费阅读及下载。

 

Copyright © 2002-2024 101bt.net All Rights Reserved
更新时间:2025/4/30 9:04:06