What Is Mathematics?

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R·柯朗(Richard Courant)是20世纪杰出的数学家,哥廷根学派重要成员。他生前是纽约大学数学系和数学科学研究院的主任,该研究院后被重命名为柯朗数学科学研究院。他写的书《数学物理方程》为每一个物理学家所熟知;而他的《微积分学》已被认为是近代写得最好的该学科的代表作。

H·罗宾(Herbert Robbins)是新泽西拉特杰斯大学的数理统计教授。

I·斯图尔特(Ian Stewart)是沃里克大学的数学教授,并且是《自然界中的数和上帝玩色子游戏吗》一书的作者;他还在《科学美国人》杂志上主编《数学娱乐》专栏;他因使科学为大众理解的杰出贡献而在1995年获得了皇家协会的米凯勒法拉第奖章。

出版者:Oxford University Press
作者:Richard Courant
出品人:
页数:592
译者:
出版时间:1996-7-18
价格:GBP 11.99
装帧:Paperback
isbn号码:9780195105193
丛书系列:
图书标签:
  • 数学 
  • Mathematics 
  • 科普 
  • 思维 
  • 英文原版 
  • Math 
  • 方法论 
  • 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.

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读后感

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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...  

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我觉得副标题非常的贴切。 初等数学的脉络讲解的非常清晰,对解决问题的思想方法分析的简洁、深刻。我以为能把事情用简单的方式叙述出来都是要么非常花费功夫,要么就是领域中的大师——正如《Programming Pearls》和《 The C Programming Language》,薄薄一本书,值得翻来覆...  

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我觉得副标题非常的贴切。 初等数学的脉络讲解的非常清晰,对解决问题的思想方法分析的简洁、深刻。我以为能把事情用简单的方式叙述出来都是要么非常花费功夫,要么就是领域中的大师——正如《Programming Pearls》和《 The C Programming Language》,薄薄一本书,值得翻来覆...  

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数学教学有时竟演变成空洞的解题训练,这种训练虽然可以提高形式推导的能力,但却不能导致真正的理解与深入的独立思考。 我20年来所受的的教育,别人70年前就知道错了。  

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记得小学时候数学一直挺好,那女数学老师也很温柔漂亮,语文差得很,班主任的男语文老师用万年青树枝打我手心的印象还很深,初中一次语文倒是彻底的逆袭,没来由的突然考了个年级第一,而数学却又一直陪伴我,以过线的高考数学,过线的考研数学勉强互不碍眼的相伴了十几年。 这...  

用户评价

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众里寻它千百度,蓦然回首,那书却在书架角落处。

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2.2/2.4/3.1/4.6/7.7 精彩

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2.2/2.4/3.1/4.6/7.7 精彩

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我爱学数学!!!

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虽然有些东西老了,但是整体结构非常完美

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