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

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Richard Courant, 1888-1972 (Courant Institute of Mathematical Sciences, Courant Institute of Mathematical Sciences, New York University) Herbert Robbins (Professor of Mathematics, Professor of Mathematics, Rutgers University)

What Is Mathematics?

An Elementary Approach to Ideas and Methods

Richard Courant, 1888-1972 (Courant Institute of Mathematical Sciences, Courant Institute of Mathematical Sciences, New York University), Herbert Robbins (Professor of Mathematics, Professor of Mathematics, Rutgers University), Ian Stewart (Professor of Math and Gresham Professor of Geometry, Professor of Math and Gresham Professor of Geometry, University of Warwick)

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English

Oxford Academic (not OTO)
18 July 1996

Mathematics & Sciences; Mathematics; Maths for scientists; Educational: Mathematics & numeracy

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.

By: Richard Courant 1888-1972 (Courant Institute of Mathematical Sciences Courant Institute of Mathematical Sciences New York University), Herbert Robbins (Professor of Mathematics, Professor of Mathematics, Rutgers University)
Revised by: Ian Stewart (Professor of Math and Gresham Professor of Geometry Professor of Math and Gresham Professor of Geometry University of Warwick)
Imprint: Oxford Academic (not OTO)
Country of Publication: United States
Edition: 2nd Revised edition
Dimensions: Height: 154mm, Width: 229mm, Spine: 27mm
Weight: 1g
ISBN: 9780195105193
ISBN 10: 0195105192
Pages: 591
Publication Date: 18 July 1996
Audience: College/higher education , General/trade , A / AS level , ELT Advanced
Format: Paperback
Publisher's Status: Active

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

*Praise for the previous edition: Without doubt, the work will have great influence. It should be in the hands of everyone, professional or otherwise, who is interested in scientific thinking. --The New York Times Should prove a source of great pleasure and satisfaction. --Journal of Applied Physics Succeeds brilliantly in conveying the intellectual excitement of mathematical inquiry and in communicating the essential ideas and methods. Journal of Philosophy It is a work of high perfection, whether judged by aesthetic, pedagogical or scientific standards. It is astonishing to what extent What is Mathematics? has succeeded in making clear by means of the simplest examples all the fundamental ideas and methods which we mathematicians consider the life blood of our science. --Herman Weyl