數論概論（英文版·第4版） pdf epub mobi txt 電子書 下載 2025

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☆☆☆☆☆

[美] Joseph H. Silverman 著

圖書標籤:

• 數論
• 數學
• 高等數學
• 數論概論
• 英文教材
• 第四版
• 數學分析
• 離散數學
• 算法
• 密碼學

齣版社： 機械工業齣版社

ISBN：9787111385813

版次：4

商品編碼：11025285

品牌：機工齣版

包裝：平裝

叢書名： 華章數學原版精品係列

開本：其他

齣版時間：2012-06-01

用紙：膠版紙

頁數：409

正文語種：英文

內容簡介

　　《數論概論（英文版·第4版）》英文影印版由PearsonEducationAsiaLtd.授權機械工業齣版社獨門齣版。未經齣版者書麵許可，不得以任何方式復製或抄襲本書內容。

內頁插圖

目錄

Preface
Flowchart ofChapter Dependencies
Introduction
1 What Is Number Theory·
2 Pythagorean Triples
3 Pythagorean Triples and the Unit Circle
4 Sums ofHigher Powe and Fermat’S Last Theorem
5 Divisibility and the Greatest Common Divisor
6 Linear Equatio and the Greatest Common Divisor
7 Factorization and the Fundamental Theorem ofArithmetic
8 Congruences
9 Congruences，Powe ，andFermat’S LittleTheorem
10 Congruences，Powe ，and Euler’S Formula
11 Euler’S Phi Function and the Chinese Remainder Theorem
12 Prime Numbe
13 Counting Primes
14 Me enne Primes
15 Me enne Primes and Perfect Numbe
16 Powe Modulo m and Successive Squaring
17 Computing kth Roots Modulo m
18 Powe ，Roots，and“Unbreakable Codes
l9 Primality Testing and Carmichael Numbe
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 Squares
25 Which Numbe Are Sums ofTwo Squares
26 As Easy as One，TwO，Three
27 Euler’S Phi Function and Sums of Diviso
28 Powe Modulo р and Primitive Roots
29 Primitive Roots and Indices
30 The Equation X4+Y4=Z
3l Square-Triangular Numbe Revisited
32 Pell’S Equation
33 Diophantine Approximation
34 Diophantine Approximation and Pell’S Equation
35 Number Theory and Imaginary Numbe
36 The Gaussian Intege and Unique Factorization
37 Irrational Numbe and Tra cendental Numbe
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 To ion Collectio Modulo р and Bad Primes
45 Defect Bounds and Modularity Patter
46 Elliptic Curves and Fermat’S Last Theorem
Further Reading
Index
47 The Topsy-Turvy World of Continued Fractio [online]
48 Continued Fractio and Pell’s Equation[online]
49 Generating Functio [9nline]
50 Sums of Powe [online]
A Factorization of Small Composite Intege [online]
B A List of Primes [online]

前言/序言

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簡單歸納大緻上有幾點，講解生動，妙趣橫生，且難度不大，很適閤作為數列入門的讀物，習題非常有價值，證明和定理取代瞭冗長的關於理論的論述和抽象的分析。最後這句評論我體會不深，感覺有點含糊。就是紙質太差瞭，搞得跟盜版書似的！！

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挺不錯的，還會繼續光顧，希望盡快更新書單。