What Is Mathematics? : An Elementary Approach to Ideas and Methods

0
(0)

What Is Mathematics?
: An Elementary Approach to Ideas and Methods

作者:RichardCourant/HerbertRobbins

出版社:OxfordUniversityPress

副标题:AnElementaryApproachtoIdeasandMethods

出版年:1996-7-18

页数:592

定价:GBP11.99

装帧:Paperback

ISBN:9780195105193

内容简介
 · · · · · ·

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.

作者简介
 · · · · · ·

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。

评论 ······

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。

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!

An excellent help in understanding and exploring and using.Mathematics more effectively.

虽然这本书对我来说已经意义不大了,但强力推荐给中学生和本科生看

点击星号评分!

平均分 0 / 5. 投票数: 0

还没有投票!请为他投一票。

评论 抢沙发

评论前必须登录!

 

登录

找回密码

注册