纯数学教程（英文版·第10版）（独家销售）
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- 作者： （英）G.H.Hardy [作译者介绍]
- 丛书名： 经典原版书库
- 出版社：机械工业出版社
- ISBN：711113785X
- 上架时间：2004-2-17
- 出版日期：2004 年2月
- 开本：16开
- 页码：509
- 版次：10-1
- 所属分类：
数学 > 初等数学
教材 > 研究生/本科/专科教材 > 理学 > 数学
编辑推荐
自从1908年出版以来，这本书已经成为一部经典之著。一代又一代崭露头角的数学家正是通过这本书的指引，步入了数学的殿堂。
推荐阅读
内容简介回到顶部↑
自从1908年出版以来，这本书已经成为一部经典之著。一代又一代崭露头角的数学家正是通过这本书的指引，步入了数学的殿堂。
在本书中，作者怀着对教育工作的无限热忱，以一种严格的纯粹学者的态度，揭示了微积分的基本思
想、无穷级数的性质以及包括极限概念在内的其他题材。
在本书中，作者怀着对教育工作的无限热忱，以一种严格的纯粹学者的态度，揭示了微积分的基本思
想、无穷级数的性质以及包括极限概念在内的其他题材。
作译者回到顶部↑
本书提供作译者介绍
6. H．Hardy英国数学家(1877—1947)。1896年考入剑桥三一学院，并子1900年在剑桥获得史密斯奖。之后，在英国牛津大学。剑桥大学任教，是20世纪初著名的数学分析家之一。
他的贡献包括数论中的丢番图逼近、堆垒数论、素数分布理论与黎曼函数，调和分析中的三角级数理论。发散级数求和与陶伯定理。不等式、积分变换与积分方程等方面，对分析学的发展有深刻的影响。以他的名字命名的Hp空间(哈代空间)，至今仍是数学研究中十分活跃的领域。
除本书外，他还著有《不等式》、《发散级数》等10多.. << 查看详细
他的贡献包括数论中的丢番图逼近、堆垒数论、素数分布理论与黎曼函数，调和分析中的三角级数理论。发散级数求和与陶伯定理。不等式、积分变换与积分方程等方面，对分析学的发展有深刻的影响。以他的名字命名的Hp空间(哈代空间)，至今仍是数学研究中十分活跃的领域。
除本书外，他还著有《不等式》、《发散级数》等10多.. << 查看详细
目录回到顶部↑
contents
(entries in small print at the end of the contents of each chapter
refer to subjects discussed incidentally in the examples)
chapter i
real variables
sect.
1-2. rational numbers
3-7. irrational numbers
8. real numbers
9. relations of magnitude between real numbers
10-11. algebraical operations with real numbers
12. the number 2
13-14. quadratic surds
15. the continum
16. the continuous real variable
17. sections of the real numbers. dedekind's theorem
18. points of accumulation
19. weierstrass's theorem .
miscellaneous examples
chapter ii
(entries in small print at the end of the contents of each chapter
refer to subjects discussed incidentally in the examples)
chapter i
real variables
sect.
1-2. rational numbers
3-7. irrational numbers
8. real numbers
9. relations of magnitude between real numbers
10-11. algebraical operations with real numbers
12. the number 2
13-14. quadratic surds
15. the continum
16. the continuous real variable
17. sections of the real numbers. dedekind's theorem
18. points of accumulation
19. weierstrass's theorem .
miscellaneous examples
chapter ii
前言回到顶部↑
PREFACE TO THE TENTH EDITION
T H E changes in the present edition are as follows:
1. An index has been added. Hardy had begun a revision of an index compiled by Professor S. Mitchell; this has been completed, as far as possible on Hardy's lines, by Dr T. M. Flett.
2. The original proof of the Heine-Borel Theorem (pp. 197199) has been replaced by two alternative proofs due to Professor A. S. Besicovitch.
3. Example 24, p. 394 has been added to. August, 1950 J.E. LITTLEWOOD
PREFACE TO THE SEVENTH EDITION
THE changes in this edition are more important than in any since the second. The book has been reset, and this has given me the opportunity of altering it freely.
I have cancelled what was Appendix II (on the '0, o, ~'notation), and incorporated its contents in the appropriate places in the text. I have rewritten the parts of Chs. VI and VII
which deal with the elementary properties of differential coefficients. Here I have found de la Vallee-Poussin's Gouts d'analyse the best guide, and I am sure that this part of the book is much improved. These important changes have naturally involved many minor emendations.
I have inserted a large number of new examples from the papers for the Mathematical Tripos during the last twenty years,which should be useful to Cambridge students. These were
collected for me by Mr E. R. Love, who has also read all the proofs and corrected many errors.
PREFACE TO THE TENTH EDITION
T H E changes in the present edition are as follows:
1. An index has been added. Hardy had begun a revision of an index compiled by Professor S. Mitchell; this has been completed, as far as possible on Hardy's lines, by Dr T. M. Flett.
2. The original proof of the Heine-Borel Theorem (pp. 197-199) has been replaced by two alternative proofs due to Professor A. S. Besicovitch.
3. Example 24, p. 394 has been added to.
August, 1950 J.E. LITTLEWOOD
PREFACE TO THE SEVENTH EDITION
THE changes in this edition are more important than in any since the second. The book has been reset, and this has given me the opportunity of altering it freely.
I have cancelled what was Appendix II (on the 'O, o, ～'notation), and incorporated its contents in the appropriate places in the text. I have rewritten the parts of Chs. VI and VII
T H E changes in the present edition are as follows:
1. An index has been added. Hardy had begun a revision of an index compiled by Professor S. Mitchell; this has been completed, as far as possible on Hardy's lines, by Dr T. M. Flett.
2. The original proof of the Heine-Borel Theorem (pp. 197199) has been replaced by two alternative proofs due to Professor A. S. Besicovitch.
3. Example 24, p. 394 has been added to. August, 1950 J.E. LITTLEWOOD
PREFACE TO THE SEVENTH EDITION
THE changes in this edition are more important than in any since the second. The book has been reset, and this has given me the opportunity of altering it freely.
I have cancelled what was Appendix II (on the '0, o, ~'notation), and incorporated its contents in the appropriate places in the text. I have rewritten the parts of Chs. VI and VII
which deal with the elementary properties of differential coefficients. Here I have found de la Vallee-Poussin's Gouts d'analyse the best guide, and I am sure that this part of the book is much improved. These important changes have naturally involved many minor emendations.
I have inserted a large number of new examples from the papers for the Mathematical Tripos during the last twenty years,which should be useful to Cambridge students. These were
collected for me by Mr E. R. Love, who has also read all the proofs and corrected many errors.
PREFACE TO THE TENTH EDITION
T H E changes in the present edition are as follows:
1. An index has been added. Hardy had begun a revision of an index compiled by Professor S. Mitchell; this has been completed, as far as possible on Hardy's lines, by Dr T. M. Flett.
2. The original proof of the Heine-Borel Theorem (pp. 197-199) has been replaced by two alternative proofs due to Professor A. S. Besicovitch.
3. Example 24, p. 394 has been added to.
August, 1950 J.E. LITTLEWOOD
PREFACE TO THE SEVENTH EDITION
THE changes in this edition are more important than in any since the second. The book has been reset, and this has given me the opportunity of altering it freely.
I have cancelled what was Appendix II (on the 'O, o, ～'notation), and incorporated its contents in the appropriate places in the text. I have rewritten the parts of Chs. VI and VII
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评价等级：
发表于：2011-3-2 11:53:00
这本书无疑是哈代大师为低年级数学系学生做出的最大贡献。《纯数学教程》的伟大之处在于它并不刻意去追求数学分析课程的完整性，而是由浅入深地去解释我们学习过程中遇到的难点。由浅入深说起来容易做起来难，很多分析书都自称由浅入深循序渐进，但能做到这一点的真是凤毛麟角，科朗的《微积分和数学分析引论》以及哈代的《纯数学教程》就是其中最优秀的。我认为哈代的《纯数学教程》要比前者更好一些，因为前者的语言过于具体形象，这很容易造成强加给我们知识的不良影响，使我们开始懒惰，开始依赖书本，我们学习的主动性和创造性就会逐渐消失，最终成为死读书只会做题的庸才。而《纯数学教程》则是张弛有度的，它给了我们足够的思考空间，努力思考才是我们学习数学的最有效的途径。以上仅仅是我自己的一点感受，希望大家都主动地“思考”数学。
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发表于：2006-3-16 13:26:00
这无意是一本极其经典的数学著作，非常适合那些有志将来从事数学研究工作的人打下良好的基础，我最近正在仔细地研读此书，收益不少，哈代是个典型的西方古典主义并且保守的数学家，就象他受的教育，哈代作为英国的纯数学家，对数学尤其是古典数学有着极深的洞察和造诣，他提倡禁欲，极力反对数学应用，认为那是一种对神圣数学的亵渎，这一点，恰好和冯诺依曼相反，但同时也折射了哈代在纯数学方面确实是个难得的天才型人物。在阅读他的著作时，就感觉自己在跟他这位数学大师面对面进行思想交流一样，很亲切，有一种被引向数学这个宏伟殿堂的非常美妙的感觉，着实是一种思维层面上的享受，甚至产生将来要当一名数学家的冲动；当然，由于阅读他的著作是种纯思维的运动，会死亡大量脑细胞，自然会让某些人望而却步。但是，我相信，如果你是个真正热爱数学的人，并且能意识到数学的美感，请千万不要错过这本书！
另外，我个人反对翻译此书，因为：1，看中文版根本不能领会到哈代的语言内涵和蕴涵其中的智慧与诙谐，对读者实在是一种不负责任；2，真正打算研读此书的人根本不必看中文版，如果有必要，那即使是中文版，他也很难读完并且有所收获，看了也是白看不如不看。
这是一本真正大师的思想录，非常值得热爱数学同僚们一读！
另外，他的《The introduction to the theory of numbers》(书名不知记得对不对~~)也相当经典！
另外，我个人反对翻译此书，因为：1，看中文版根本不能领会到哈代的语言内涵和蕴涵其中的智慧与诙谐，对读者实在是一种不负责任；2，真正打算研读此书的人根本不必看中文版，如果有必要，那即使是中文版，他也很难读完并且有所收获，看了也是白看不如不看。
这是一本真正大师的思想录，非常值得热爱数学同僚们一读！
另外，他的《The introduction to the theory of numbers》(书名不知记得对不对~~)也相当经典！
)
评价等级：
发表于：2006-4-19 15:41:00
这本书应当翻成《纯粹数学教程》，既然是哈代的书，好像只纯都不够。我只有一本俄文版，那种上世纪五十年代的影印版。现在有了英文版，肯定要买的。这本书大一同学完全可以看，我就是在大一时看的。当时并没有把所有的内容都看懂，但受益匪浅。哈代说他从来不研究有用的东西，但是他的研究成果却都有用。他的书，字里行间都有一种高贵的东西，就是这种东西影响了我几十年。再来看看现在大学里的个别老师们，为了提职称，或者不择手段地去抄袭、剽窃、拼凑，或者挂名（包括把自己的名挂在自己根本不懂的别人的论文中和把领导的名挂在领导根本不懂的自己的论文中）、雇用ghost writer，甚至一些有名望、有官位的学者，也在教年轻教师如何发文章多而快，如何把一个结果改头换面发三篇文章，如何在评职称的时候搞关系学。这些方法的确有用！但在本质上是“向下看齐”，后果是降低大学的学术水平，而后是降低整个中国的国力。此时此刻，提倡哈代等一些大家的治学精神难道不是十分必要的吗？
发表于：2011-4-1 9:04:00
《纯数学教程》的伟大之处在于它并不刻意去追求数学分析课程的完整性，而是由浅入深地去解释我们学习过程中遇到的难点。由浅入深说起来容易做起来难，很多分析书都自称由浅入深循序渐进，但能做到这一点的真是凤毛麟角，科朗的《微积分和数学分析引论》以及哈代的《纯数学教程》就是其中最优秀的。我认为哈代的《纯数学教程》要比前者更好一些，因为前者的语言过于具体形象，这很容易造成强加给我们知识的不良影响，使我们开始懒惰，开始依赖书本，我们学习的主动性和创造性就会逐渐消失，最终成为死读书只会做题的庸才。而《纯数学教程》则是张弛有度的，它给了我们足够的思考空间，努力思考才是我们学习数学的最有效的途径。以上仅仅是我自己的一点感受，希望大家都主动地“思考”数学。
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