数论概论（英文版·第4版） pdf epub mobi txt 电子书 下载 2025

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[美] Joseph H. Silverman 著

出版社： 机械工业出版社

ISBN：9787111385813

版次：4

商品编码：11025285

品牌：机工出版

包装：平装

丛书名： 华章数学原版精品系列

开本：其他

出版时间：2012-06-01

用纸：胶版纸

页数：409

正文语种：英文

内容简介

　　《数论概论（英文版·第4版）》英文影印版由PearsonEducationAsiaLtd.授权机械工业出版社独门出版。未经出版者书面许可，不得以任何方式复制或抄袭本书内容。

内页插图

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 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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数论概论（英文版·第4版）

评分☆☆☆☆☆

很好很好很好很好很好很好

评分☆☆☆☆☆

this book is suitable for all people in the first process to learn some basis knowlege. i am studying and thinking this course this year. i hope it can play imoportant role for my research level.

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好

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　　德昂的作品主题鲜明。他最喜欢描摹令人动容的友情。在他的笔下，我们可以与最不可能企及的对象成为一辈子的好友。在《月亮，你好吗》中，男孩划船外出，在湖面上遇见澄净的月亮。男孩与月亮愉快地一同嬉闹，后来月亮兴奋过度而摔了个大跟斗，猛一翻跌进湖里。故事的高潮在男孩帮月亮登上他的小船后节节升高。他带月亮回家，和月亮一起弹琴歌唱、旋转跳舞，两个好友一块读故事、一同温馨进餐。德昂让这段醇美的友情美好的一如每个读者可能梦想的最棒梦境一般。当我们看到玩累的月亮在床上安眠，从窗畔瞥见男孩又划

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　　安德烈?德昂 (André Dahan)于1935年出生于阿尔及利亚，后来到巴黎留学，从国立巴黎工艺大学毕业后，在巴黎装饰美术学校教书，目前与妻子和女儿居住于巴黎。德昂虽然很晚才开始他的绘本创作生涯，于五十二岁才推出第一部绘本作品《月亮，你好吗》（My Friend the Moon），可是他作品中独树一帜、既温暖又纯真的梦幻世界，以及每一幅图画里色彩与情境的美妙共振，都强烈吸引读者的目光。德昂创造的绘本故事世界彷佛是用一块一块精巧的魔法砖头搭盖的，除却缤纷斑斓的画?面本身，故事意欲传达的信息与其间流泄的诗意都会敲开观者的心门，所以他已发表的二十多种作品在全世界广受欢迎?，已于十几国推出译本。

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非常经典的图书 值得拥有

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大概看了下，书是不错的，纸张有点单薄，不过看了有收获就好

评分☆☆☆☆☆

this book is suitable for all people in the first process to learn some basis knowlege. i am studying and thinking this course this year. i hope it can play imoportant role for my research level.