哈代数论

出版时间：2009-11  出版社：人民邮电出版社  作者：G. H. Hardy,E. M. Wright  页数：620  字数：576000  
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前言

　　This sixth edition contains a considerable expansion of the end-of-chapternotes. There have been many exciting developments since these were lastrevised， which are now described in the notes. It is hoped that these willprovide an avenue leading the interested reader towards current researchareas. The notes for some chapters were written with the generous help ofother authorities. Professor D. Masser updated the material on Chapters4 and 11， while Professor G.E. Andrews did the same for Chapter 19. Asubstantial amount of new material was added to the notes for Chapter 21by Professor T.D. Wooley， and a similar review of the notes for Chapter 24was undertaken by Professor R. Hans-Gill. We are naturally very gratefulto all of them for their assistance.　　In addition， we have added a substantial new chapter， dealing with ellip-tic curves. This subject， which was not mentioned in earlier editions， hascome to be such a central topic in the theory of numbers that it was feltto deserve a full treatment. The material is naturally connected with theoriginal chapter on Dlophantlne Equations.　　Finally， we have corrected a significant number of misprints in thefifth edition. A large number of correspondents reported typographical ormathematical errors， and we thank everyone who contributed in this way.　　The proposal to produce this new edition originally came from ProfessorsJohn Maitland Wright and John Coates. We are very grateful for theirenthusiastic support.

内容概要

　　本书是数论领域的一部传世名著，成书于作者在牛津大学、剑桥大学等学校授课的讲义。书中从各个不同角度对数论进行了阐述，内容包括素数、无理数、同余、费马定理、连分数、不定式、二次域、算术函数、分化等。新版修订了每章末的注解，简要介绍了数论最新的发展；增加了一章讲述椭圆曲线，这是数论中最重要的突破之一。还列出进一步阅读的文献。　　本书适合数学专业本科生、研究生和教师用作教材或参考书，也适合对数论感兴趣的专业人士阅读参考。

作者简介

　　G.H.Hardy（1877-1947）20世纪上半叶享有世界声誉的数学大师，是英国数学界和英国分析学派的领袖，对数论和分析学的发展有巨大的贡献和重大的影响，除了自己的研究工作之外，他还培养和指导了众多数学大家，包括印度数学奇才拉马努金和我国数学家华罗庚。

书籍目录

I. THE SERIES OF PRIMES （1）　II. THE SERIES OF PRIMES （2）　III. FAREY SERIES AND A THEOREM OF MINKOWSKI　IV. IRRATIONAL NUMBERS　V. CONGRUENCES AND RESIDUES　VI. FFRMAT's THEOREM AND ITS CONSEOUENCES　VII. GENERAL PROPERTIES OF CONGRUENCES　VIII. CONGRUENCES TO COMPOSITE MODULI　IX. THE REPRESENTATION OF NUMBERS BY DECIMALS　X. CONTINUED FRACTIONS　XI. APPROXIMATION OF IRRATIONALS BY RATIONALS　XlI. THE FUNDAMENIAL THEOREM OF ARITHMETIC INk（1）, k（i）, AND k（O）　XIII. SOME DIOPHANTINE EQUATIONS　XIV. OUADRATIC FIELDS （1）　XV. OUADRATIC FIELDS （2）　XVI. THE ARITHMETICAL FUNCTIONS Ф（n）,μ（n）, d（n）, σ（n）, r（n）   XVII. GENERATING FUNCTIONS OF ARITHMETICAL FUNCTIONS　XVIII. THE ORDER OF MAGNITUDE OF ARITHMETICAL FUNCTIONS　XIX. PARTITIONS　361XX. THE REPRESENTATION OF A NUMBER BY TWO OR FOUR SQUARES　XXI. REPRESENTATION BY CUBES AND HIGHER POWERS　XXII. THE SERIES OF PRIMES（3）　XXIII. KRONECKER'S THEOREM　XXIV. GEOMETRY OF NUMBERS　XXV. ELLIPTIC CURVES　APPENDIX　A LIST OF BOOKS　INDEX OF SPECIAL SYMBOLS AND WORDS　INDEX OF NAMES　GENERAL INDEX　

媒体关注与评论

　　“这本引人入胜的书对这一学科进行了生动、详尽的叙述，而且没有用到太多高深的理论。”　　——Mathematical Gazette（数学公报）　　“……一本非常重要的著作……它一定能继续保持长久、旺盛的生命力……”　　——Mathematical Reviews（数学评论）

用户评论 (总计11条)

•   哈代的经典之作，唯有华罗庚的数论导引可与之比拟，不过华老可是哈代的学生
•   哈代的书，不错，很有启发意义，
  内容全面，思想方法丰富，作为数论入门及研究用
•   这是数论中的经典，值得好好品读
•   一本经典大作，教育了后来许多数学爱好者。
•   没想到来货来的这么慢而办理退货就这么快，。。。
  要不是书的质量有问题我就不退了，刚看了一章。。。
•   经典，很多书都以其为参考书。
•   比汉语的强多了 还是应该看原著
•   好书，言简意赅，有难度，要慢慢细读
•   经典多读
•   虽然是英文
  看看还是不错的
•   书本内容很多，前面是初等数论，例子挺多。