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.

具体描述

读后感

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《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...  

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我不是学数学专业,但是非常喜欢数学,有幸在学校的时候学过二年数学系的专业课,像数学分析、高等代数以及空间解析几何等,虽然那时学的似懂非懂,工作以后与数学也没有直接关系,但是随着工作时间越来长,发现数学知识的缺少让我很难再有很高的突破,也就是遇到了发展的瓶...  

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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...  

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我不是学数学专业,但是非常喜欢数学,有幸在学校的时候学过二年数学系的专业课,像数学分析、高等代数以及空间解析几何等,虽然那时学的似懂非懂,工作以后与数学也没有直接关系,但是随着工作时间越来长,发现数学知识的缺少让我很难再有很高的突破,也就是遇到了发展的瓶...  

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我在看,基本能看懂,可是后面的习题做出来后答案不知该从何处求证。 不知道原书有没有官方答案?有这方面材料的请通知我:thinkerno2@gmail.com。谢谢  

用户评价

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上周末跟典哥讨论过这个问题:关于理工科学生的科学素养和西方自然科学发展史。各种感慨。这类经典书籍值得好好去读一读。

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对数学基本概念和方法的阐述真的是 crystal clear,选材不能更棒!忽然又来了再去打打看分析论的兴致!

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我实话实说我没读完,我智商不够

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這個分是打給這個修訂版的。那個叫stewart的就是個在蒙娜麗莎臉上加上鬍子的人渣。一個什麼都不懂的英國人怎麼敢幹出這種無恥又喪心病狂的事!加上的那幾頁東西基本就沒幾句話是對的,而且還不改前面的page reference,讀起來很麻煩。

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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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