The Princeton Companion to Mathematics

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Timothy Gowers is the Rouse Ball Professor of Mathematics at the University of Cambridge. He received the Fields Medal in 1998, and is the author of Mathematics: A Very Short Introduction. June Barrow-Green is lecturer in the history of mathematics at the Open University. Imre Leader is professor of pure mathematics at the University of Cambridge.

出版者:Princeton University Press
作者:Gowers, Timothy (EDT)/ Barrow-Green, June (EDT)/ Leader, Imre (EDT)
出品人:
页数:1056
译者:
出版时间:2008-9-28
价格:GBP 77.00
装帧:Hardcover
isbn号码:9780691118802
丛书系列:
图书标签:
  • 数学 
  • Mathematics 
  • 科普 
  • 数学史 
  • Princeton 
  • ModernMath 
  • Math 
  • 数学文化 
  •  
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This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more.

Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics, providing the context and broad perspective that are vital at a time of increasing specialization in the field. Packed with information and presented in an accessible style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties.

* Features nearly 200 entries, organized thematically and written by an international team of distinguished contributors

* Presents major ideas and branches of pure mathematics in a clear, accessible style

* Defines and explains important mathematical concepts, methods, theorems, and open problems

* Introduces the language of mathematics and the goals of mathematical research

* Covers number theory, algebra, analysis, geometry, logic, probability, and more

* Traces the history and development of modern mathematics

* Profiles more than ninety-five mathematicians who influenced those working today

* Explores the influence of mathematics on other disciplines

* Includes bibliographies, cross-references, and a comprehensive index

具体描述

读后感

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这本书网络上能下pdf版本。不过好像缺目录。 觉得这书写的不错。适合学过一些基础数学(分析,线性代数,交换代数,几何)的人看看  

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这本书网络上能下pdf版本。不过好像缺目录。 觉得这书写的不错。适合学过一些基础数学(分析,线性代数,交换代数,几何)的人看看  

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This is real modern mathematics. Most of the stuff is in Part III, IV, V and VII. Part III includes 99 'mathematical concepts', i.e. compactness, differential forms, Hamiltonians, homotopy groups and so on. These are mostly short articles of about two pages...  

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最近数学学的有点乱想厘清一下数学的各种分支的关系,于是翻出了之前借的这本曾三年前翻过的这本《指南》。结果,学过的部分像爱因斯坦的广义相对论,PDE,计算复杂性,数值分析等,看的比较容易点,其他部分又是走马观花了。 如果有缘,下次可能会把它当作工具书。 我感觉这本...  

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不需要太深的数学知识就能读,但读懂需要有好的数学思维。 用足够浅显的语言介绍了数学主要分支的主要内容。到手后精读了随机过程那节,感觉虽然一些词比较别扭,但整体翻译不错;内容上各节介绍的都是各领域最基本和重要的结果,重思想而不是重内容全面。感觉数学名著译丛这套...  

用户评价

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太长看不完,看了前几章,看的英文版,不是母语略微难受。数学专业入学必看之类型的书。窥其全貌,并了解其现状和具体应用,我想这也是每个数学学子想要知道的东西。

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a great book

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神书 不敢说看完 没事就扫读一下啊=。=能全部看懂得有多大造诣啊

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花了四个月啃完,算是对现代数学的各个分支宽搜了一遍吧,和很多概念混了个眼熟。有些章节还是相当好看的,但感觉整书看到一半多一点之后趣味性急转直下

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读得太吃力,放弃了

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