Catastrophe theory
By: V.I. Arnold ; translated from the Russian by G.S. Wassermann ; based on a translation by R.K. Thomas.
Edition: 3rd rev. and expanded ed.
Publisher: Springer-Verlag
Published: 1992
Place of publication: Berlin; New York
Language: eng
Number of pages: 150
Subjects: Catastrophes (Mathematics)
Description: 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
Notes: Includes bibliographical references (p. 129-150).
Translation of: Teorii͡a︡ katastrof.