© 1986

Catastrophe Theory


Table of contents

  1. Front Matter
    Pages I-XIII
  2. Vladimir Igorevich Arnold
    Pages 1-2
  3. Vladimir Igorevich Arnold
    Pages 3-6
  4. Vladimir Igorevich Arnold
    Pages 7-9
  5. Vladimir Igorevich Arnold
    Pages 10-13
  6. Vladimir Igorevich Arnold
    Pages 14-19
  7. Vladimir Igorevich Arnold
    Pages 29-39
  8. Vladimir Igorevich Arnold
    Pages 40-43
  9. Vladimir Igorevich Arnold
    Pages 44-46
  10. Vladimir Igorevich Arnold
    Pages 47-56
  11. Vladimir Igorevich Arnold
    Pages 57-62
  12. Vladimir Igorevich Arnold
    Pages 63-66
  13. Vladimir Igorevich Arnold
    Pages 67-75
  14. Vladimir Igorevich Arnold
    Pages 76-88
  15. Vladimir Igorevich Arnold
    Pages 89-93
  16. Back Matter
    Pages 95-110

About this book


Bifurcations Catastrophe Theory Katastrophe Katastrophentheorie Optimierungsprobleme Optimization Problems Singularities Singularitäten Verzweigung bifurcation singularity

Authors and affiliations

  1. 1.Department of MathematicsUniversity of MoscowMoscowUSSR

Bibliographic information

  • Book Title Catastrophe Theory
  • Authors Vladimir I. Arnol'd
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1986
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-16199-8
  • eBook ISBN 978-3-642-96937-9
  • Edition Number 2
  • Number of Pages XIII, 108
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Title of the original Russian edition: Teorija katastrof
  • Topics Analysis
  • Buy this book on publisher's site
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"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

"Vladimir Arnold is a giant among contemporary mathematicians, and one of the three who stand out in the creation and development of catastrophe theory. ..."

The Times Higher Education Supplement 1 June 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

"This unusual little paperback ... has the qualities we tend to associate with Russian expository mathematical writing: a highly personal style, imaginatevely presented examples, nontechnical language, sometimes puzzling asides, and de trop obersations taken from the world at large. ..."

The Mathematical Intelligencer 18.1996.4