What is Mathematics?: An Elementary Approach to Ideas and MethodsFor 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 FourColor 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 grammara matter of the correct application of local rules. Meaningful mathematics is like journalismit tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literatureit 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 literatureit opens a window onto the world of mathematics for anyone interested to view. 
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Review: What Is Mathematics? An Elementary Approach to Ideas and Methods
User Review  Eddie  GoodreadsI wanted to like this book. I really did. But it's just too old. It will never be a classic; it's just outdated. There are references to ongoing problems to solve Hilbert's 10th problem, but no ... Read full review
Review: What Is Mathematics? An Elementary Approach to Ideas and Methods
User Review  Erickson  GoodreadsSkimmed through and it is quite useful, very similar to one of Felix Klein's books in terms of style. A little too mathematics for my purposes which is more towards physics, some insights are good nonetheless. Read full review
Contents
VI  5 
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CXXX  288 
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citeulike: What Is Mathematics? An Elementary Approach to Ideas ...
TY  BOOK ID  citeulike:2489324 TI  What Is Mathematics? An Elementary Approach to Ideas and Methods PB  {Oxford University Press, USA} SN  0195105192 ...
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What is Mathematics?  Wikipedia, the free encyclopedia
What Is Mathematics? An Elementary Approach to Ideas and Methods, book review by Brian E. Blank, Notices of the American Mathematical Society 48, ...
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Physics Help and Math Help  Physics Forums  What is mathematics ...
7) What is mathematics? An elementary approach to Ideas and Methods by Richard Courant and Herbert Robbins Not a book but available for free: ...
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JSTOR: What Is Mathematics?
What Is Mathematics? gl Alexanderson. The TwoYear College Mathematics Journal, Vol. 10, No. 1, 4042. Jan., 1979. CLASSICS REVISITED By gl Alexanderson (In ...
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Hypertext tour of mathematical landscape
Courant, Richard; Robbins, Herbert: "What Is Mathematics? An elementary approach to ideas and methods." Oxford University Press, New York, 1941. 521 pp. ...
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Definition of Mathematics in an online ecyclopedia or dictionary
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What is Mathematics? An Elementary Approach to Ideas and Methods. Richard Courant, Herbert Robbins, Ian Stewart, Oxford University Press, New York, ...
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‘WHAT MATHEMATICS?’
‘WHAT. IS. MATHEMATICS?’ herbertd . deas. Lecturer. in. Applied Mathematics, The University. of. Shefield. Mathematics. is. thought moving in the sphere ...
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