《The Princeton Companion to Mathematics》Gowers, Timothy (EDT)/ Barrow-Green, June (EDT)/ Leader, Imre (EDT)电子书【pdf mobi txt epub 在线阅读 读后感】

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内容简介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, w

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《The Princeton Companion to Mathematics》Gowers, Timothy (EDT)/ Barrow-Green, June (EDT)/ Leader, Imre (EDT)电子书【pdf mobi txt epub 在线阅读 读后感】

  • 书名:The Princeton Compa最后,就进步发生的面向而言,还有一些次要议题,不过,这些议题仍然只限于在主张进步论的作者之间。有六个面向是某些作者认为会发生,另外有些作者虽然多少会反对其中一两个的发生,但不会全部反对(因为他们在定义上就是肯定进步发生的作者)。这六个面向是:(1)知识的进步;(2)技术的进步;(3)经济的进步;(4)政治的进步;(5)道德的进步;(6)艺术的进步。关于最后一项有些特殊的争议。因为在我们的观点里,没有一位作者坚信在这个面向中真的有进步,甚至有些作者否认这个面向有进步。nion to Mathematics
  • 作者:Gowers, Timothy (EDT)/ Barrow-Green, June (EDT)/ Leader, Imre (EDT)
  • 时间:2008-09
  • 出版:Princeton University Press
  • 豆瓣:9.5 分/88人评
  • ISBN:978069111因此,在批评小说时,我们要小心区别这两种作品的差异:一种是满足我们个人特殊潜意识需求的小说—那会让我们说:“我喜欢这本书,虽然我并不知道为什么。”另一种则是满足大多数人潜意识需求的小说。用不着说,后者会是一部伟大的作品,世代相传,永不止息。只要人活着一天,这样的小说就能满足他,给他一些他需要的东西—对正义的信念与领悟,平息心中的焦虑。我们并不知道,也不能确定真实的世界是很美好的。但是在伟大的作品中,世界多多少少是美好的。只要有可能,我们希望能经常住在那个故事的世界里。8802

内容简介

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 sc我们读了一本哲学的书,也了解了之后,我们会做什么呢?我们会考验这本书,与大家共通的经验作对照—这是它的灵感起源,这也是它惟一存在的理由。我们会说:这是真的吗?我们也有这样的感觉吗?我们是不是总是这样想,却从来没有意识到?以前或许很模糊的事,现在是不是却很明显了?作者的理论或说明虽然可能很复杂,是不是却比我们过去对这个观念的混淆来得清楚,也简单多了?ores 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, geometr就像一栋房子多少可以居住一样,一本书多少也可以阅读一下。可读性最高的作品是作者达到了建筑学上最完整的整体架构。最好的书都有最睿智的架构。虽然他们通常比一些差一点的书要复杂一些,但他们的复杂也是一种单纯,因为他们的各个部分都组织得更完善,也更统一。y, logic, probability, and more
Traces the history and development of modern mathematics
Profiles more than ninety-five mathemat顺便一提的是,这些新规则与前面所说的与作者达成共识的规则一样,适用于论说性的作品。当你在念一本文学作品—小说、戏剧与诗时,这些关于主旨与论述的规则又大不相同。后面我们会谈到在应用时要如何作些改变,以便阅读那些书籍。icians who influenced those working today
Explores the influence of mathematics on other disciplines
* Includes bibliographies, cross-references, and a comprehensive index

作者简介

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.

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