What Is Mathematics?

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R·柯朗(Richard Courant)是20世紀傑齣的數學傢,哥廷根學派重要成員。他生前是紐約大學數學係和數學科學研究院的主任,該研究院後被重命名為柯朗數學科學研究院。他寫的書《數學物理方程》為每一個物理學傢所熟知;而他的《微積分學》已被認為是近代寫得最好的該學科的代錶作。

H·羅賓(Herbert Robbins)是新澤西拉特傑斯大學的數理統計教授。

I·斯圖爾特(Ian Stewart)是沃裏剋大學的數學教授,並且是《自然界中的數和上帝玩色子遊戲嗎》一書的作者;他還在《科學美國人》雜誌上主編《數學娛樂》專欄;他因使科學為大眾理解的傑齣貢獻而在1995年獲得瞭皇傢協會的米凱勒法拉第奬章。

出版者:Oxford University Press
作者:Richard Courant
出品人:
頁數:592
译者:
出版時間:1996-7-18
價格:GBP 11.99
裝幀:Paperback
isbn號碼:9780195105193
叢書系列:
圖書標籤:
  • 數學 
  • Mathematics 
  • 科普 
  • 思維 
  • 英文原版 
  • Math 
  • 方法論 
  • 英文 
  •  
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For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts. Brought up to date with a new chapter by Ian Stewart, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved. Formal mathematics is like spelling and grammar--a matter of the correct application of local rules. Meaningful mathematics is like journalism--it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view.

具體描述

讀後感

評分

《什么是数学》算是经典数学读物了,最近看了一下,真的是不错,写的很好,翻译的也不错。内容上由浅入深的介绍数学问题和解法,有些东西还真是我以前从来没有看过的,比如我们小时候就知道如何判断一个整数能否被3整除,但很少想为什么这个准则奏效,这本书里面用同余的方法证...  

評分

拣着看完全书,收获很大。尤其在那些已经非常熟悉的领域,例如微积分方面,作者从一种非常直观且逻辑严密的角度,解释了那些看似抽象的定义、定理的内在涵义。 至于翻译,只能说一般般了。本来数学语言就有固定的模式,翻译也不至差到哪里去。 最后,提点小小建议。希望在书...  

評分

关于评价,我选了“推荐”。我说我是来提供事实和灵感的。这本书上有一页是介绍数学归纳法的,如果你学过高中数学,就知道这方法在求通项公式时非常好用。但前提是你的数学归纳法的格式必须符合要求。在这本书中呢,关于数学归纳法,这位哥廷根人讲了一大堆纯学术意义上的关于...  

評分

传道书。 ——一个多么神圣的称呼啊。 其实本来是想叫枕边书的,可是这三个字看着太暧昧了,怕人以为少儿不宜呀,所以只好忍痛割爱了。 好在传道书这三个字也是蛮传神的,这样的一本书,配得上。 话说很多人小时候都被一种叫“奥数”的东西摧残过,很不幸,我也没能幸免,被老...  

評分

对十年未曾接触过数学的偶来说,要读透这本书是个艰巨的任务,既然想读透,不妨在这里做读书笔记吧,今天这点记录,姑且作为开篇。 第一章:数 结合律、交换律、分配律这些最基本的概念都很好理解,关于进制,偶小费了一点脑细胞,不过,掌握十进制数和其他进制...

用戶評價

评分

上周末跟典哥討論過這個問題:關於理工科學生的科學素養和西方自然科學發展史。各種感慨。這類經典書籍值得好好去讀一讀。

评分

教授開的第一個書單就有,隻在學校圖書館看過。颱灣誠品書店見過,太貴,沒捨得買????。這本書無比真誠地做到瞭好好說人話。

评分

我實話實說我沒讀完,我智商不夠

评分

4.5 讀起來特彆流暢,大概是因為每章篇幅都挺短的吧。算是個light reading.(兩年前的我第一章沒看完就放棄瞭…)但是看評論感覺還是過譽瞭,導緻我抱著三觀被刷新的心態去讀。盡管如此,還是有個彆部分特彆精彩。(一刷,跳瞭第四五章。)

评分

good read, and a good waste of time to read as well

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