美国西尔弗曼编著的《数论概论》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,同时介绍了目前数论研究的某些前沿课题。本书采用轻松的写作风格,引领读者进入美妙的数论世界,不断激发读者的好奇心,并通过一些精心设计的练习来培养读者的探索精神与创新能力。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。
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
书名 | 数论概论(英文版第4版)/华章统计学原版精品系列 |
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 美国西尔弗曼编著的《数论概论》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,同时介绍了目前数论研究的某些前沿课题。本书采用轻松的写作风格,引领读者进入美妙的数论世界,不断激发读者的好奇心,并通过一些精心设计的练习来培养读者的探索精神与创新能力。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。 目录 Preface Flowchart ofChapter Dependencies Introduction 1 What Is Number Theory? 2 Pythagorean Triples 3 Pythagorean Triples and the Unit Circle 4 Sums ofHigher 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 ofArithmetic 8 Congruences 9 Congruences,Powers,andFermat’S LittleTheorem 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 Computing kth Roots Modulo m 18 Powers,Roots,and“Unbreakable Codes l9 Primality Testing and Carmichael Numbers 20 Squares Modulo р 21 Is-l a Square Modulo р?Is 2? 22 Quadratic Reciprocity 23 Proofof Quadratic Reciprocity 24 Which Primes Are Sums ofTwo Squares7 25 Which Numbers Are Sums ofTwo Squares7 26 As Easy as One,TwO,Three 27 Euler’S Phi Function and Sums of Divisors 28 Powers Modulo р and Primitive Roots 29 Primitive Roots and Indices 30 The Equation X4+Y4=Z4 3l Square-Triangular Numbers Revisited 32 Pell’S Equation 33 Diophantine Approximation 34 Diophantine Approximation and Pell’S Equation 35 Number Theory and Imaginary Numbers 36 The Gaussian Integers and Unique Factorization 37 Irrational Numbers and Transcendental Numbers 38 Binomial Coefficients and Pascal’S Triangle 39 Fibonacci’S Rabbits and Linear Recurrence Sequences 40 Oh,What a Beautiful Function 41 Cubic Curves and Elliptic Curves 42 Elliptic Curves with Few Rational Points 43 Points on Elliptic Curves Modulo р 44 Torsion Collections Modulo р and Bad Primes 45 Defect Bounds and Modularity Patterns 46 Elliptic Curves and Fermat’S Last Theorem Further Reading Index 47 The Topsy-Turvy World of Continued Fractions[online] 48 Continued Fractions and Pell’s Equation[online] 49 Generating Functions[9nline] 50 Sums of Powers [online] A Factorization of Small Composite Integers[online] B A List of Primes [online] |
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。