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What Is Mathematics? An Elementary Approach to Ideas and Methods

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ISBN-10: 0195105192

ISBN-13: 9780195105193

Edition: 2nd 1996 (Revised)

Authors: Richard Courant, Herbert Robbins, Ian Stewart

List price: $24.95
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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…    
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Book details

List price: $24.95
Edition: 2nd
Copyright year: 1996
Publisher: Oxford University Press, Incorporated
Publication date: 7/18/1996
Binding: Paperback
Pages: 592
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.958
Language: English

Richard Courant was born in Lublintz, Germany, on January 8, 1888, later becoming an American citizen. He was a mathematician, researcher and teacher, specializing in variational calculus and its applications to physics, computer science, and related fields. He received his Ph.D. from the University of Gottingen, Germany, lectured at Cambridge University and headed the mathematics department at New York University. Courant's writings include Introduction to Calculus and Analysis (1965), written with John Fritz, Differential and Integral Calculus (1965), Methods of Mathematical Physics: Dirichlet's Principle, Conformal Mapping and Minimal Surfaces (1950), and Supersonic Flow and Shock Waves…    

Preface to Second Edition
Preface to Revised Editions
How to Use the Book
What is Mathematics?
The Natural Numbers
Supplement to Chapter I. the Theory of Numbers
The Number System of Mathematics
Supplement to Chapter II. The Algebra of Sets
Geometrical Constructions. The Algebra of Number Fields
Projective Geometry. Axiomatics. Non-Euclidean Geometries
Topology
Functions and Limits
Supplement to Chapter VI
Maxima and Minima
The Calculus
Supplement to Chapter VIII
Recent Developments
Appendix: Supplementary Remarks, Problems, and Exercises
Suggestions for Further Reading
Suggestions for Additional Reading
Index