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Catastrophe Theory

  • Vladimir I. Arnold

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Vladimir I. Arnold
    Pages 1-2
  3. Vladimir I. Arnold
    Pages 3-6
  4. Vladimir I. Arnold
    Pages 7-9
  5. Vladimir I. Arnold
    Pages 10-13
  6. Vladimir I. Arnold
    Pages 14-19
  7. Vladimir I. Arnold
    Pages 33-44
  8. Vladimir I. Arnold
    Pages 53-66
  9. Vladimir I. Arnold
    Pages 67-74
  10. Vladimir I. Arnold
    Pages 75-78
  11. Vladimir I. Arnold
    Pages 79-88
  12. Vladimir I. Arnold
    Pages 89-101
  13. Vladimir I. Arnold
    Pages 102-107
  14. Back Matter
    Pages 108-150

About this book

Introduction

From The Reviews:

"This short book, which is a translation from the Russian, provides a concise, non-mathematical review of the less controversial results in catastrophe theory. The author begins by describing the established results in the theory of singularities and bifurcation and continues with chapters on the applications of the theory to topics such as wavefront propagation, the distribution of matter within the universe, and optimisation and control. The presentation is enhanced by numerous diagrams.

... This is a short, critical and non-mathematical review of catastrophe theory which will provide a useful introduction to the subject."

Physics Bulletin December 1984

"... This is a beautiful little book, popular mathematics at its best, a delight to read and unreservedly recommended to novice and expert alike. ..."

Acta Applicandae Mathematicae Vol. 7, 1986

"... The book can be warmly recommended to everyone who is interested in singularity theory. It also gives interesting information for researchers working on the subject."

Acta Scientiarum Mathematicarum 59, 1994

"... There is probably no one else in the world who could have written this book. It remains an engrossing summary of a vast body of work which is one of the major achievements of twentieth-century mathematics."

Mathematical Reviews, Issue 93h

 

Keywords

Bifurcations Catastrophe Theory Katastrophe (Math.) Katastrophentheorie Optimierungsprobleme Optimization Problems Singularities Singularitäten Verzweigung differential equation maximum minimum

Authors and affiliations

  • Vladimir I. Arnold
    • 1
  1. 1.Steklov Mathematical InstituteMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-58124-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-54811-9
  • Online ISBN 978-3-642-58124-3
  • Buy this book on publisher's site
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