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What is mathematics? : an elementary approach to ideas and methods / by Richard Courant and Herbert Robbins.

By: Contributor(s): Material type: TextTextPublisher: New Delhi : Oxford University Press, 1996Publisher: c1996Edition: Second edition. revised by Ian StewartDescription: 566 pages : illustrations ; 23 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9780195687101 (pbk.)
  • 9780195105193 (hbk.)
Subject(s): DDC classification:
  • 510 COU 23 016269
LOC classification:
  • QA37.2 .C69 1996
Contents:
Chapter I. The natural numbers -- Supplement to Chapter I. The theory of numbers -- Chapter II. The number system of mathematics -- Supplement to Chapter II. The algebra of sets -- Chapter III. Geometrical construction. The algebra of number fields -- Chapter IV. Projective geometry. axiomatics. non-euclidean geometries -- Chapter V. Topology -- Chapter VI. Functions and limits -- Supplement to Chapter VI. More examples on limits and continuity -- Chapter VII. Maxima and minima -- Chapter VIII. The calculus -- Supplement to Chapter VIII -- Chapter IX. Recent developments -- Appendix: supplementary remarks, problems, and exercises.
Summary: Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Brought up to date with a new chapter by Ian Stewart, this 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."--Jacket.
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Holdings
Item type Current library Call number Status Date due Barcode
Book Book Indian Institute for Human Settlements, Bangalore 510 COU 016269 (Browse shelf(Opens below)) Available 016269

Includes bibliographical references (p. 549-558) and index.

Chapter I. The natural numbers --
Supplement to Chapter I. The theory of numbers --
Chapter II. The number system of mathematics --
Supplement to Chapter II. The algebra of sets --
Chapter III. Geometrical construction. The algebra of number fields --
Chapter IV. Projective geometry. axiomatics. non-euclidean geometries --
Chapter V. Topology --
Chapter VI. Functions and limits --
Supplement to Chapter VI. More examples on limits and continuity --
Chapter VII. Maxima and minima --
Chapter VIII. The calculus --
Supplement to Chapter VIII --
Chapter IX. Recent developments --
Appendix: supplementary remarks, problems, and exercises.

Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Brought up to date with a new chapter by Ian Stewart, this 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."--Jacket.

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