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Riassunto: Singularity theory is growing very fast and many new results have been discovered since the Russian edition appeared: for instance the relation of the icosahedron to the problem of by passing a generic obstacle. The reader can find more details about this in the articles "Singularities of ray systems" and "Singularities in the calculus of variations" listed in the bi bliography of the present edition. Moscow, September 1983 v. I. Arnold Preface to the Russian Edition "Experts discuss forecasting disasters" said a New York Times report on catastrophe theory in November 1977. The London Times declared Catastrophe Theory to be the "main intellectual movement of the century" while an article on catastrophe theory in Science was headed "The emperor has no clothes". This booklet explains what catastrophe theory is about and why it arouses such controversy. It also contains non-con troversial results from the mathematical theories of singulari ties and bifurcation. The author has tried to explain the essence of the fundamen tal results and applications to readers having minimal mathe matical background but the reader is assumed to have an in quiring mind. Moscow 1981 v. I. Arnold Contents Chapter 1. Singularities, Bifurcations, and Catastrophe Theories ............... 1 Chapter 2. Whitney's Singularity Theory ... 3 Chapter 3. Applications of Whitney's Theory 7 Chapter 4. A Catastrophe Machine ...... 10 Chapter 5. Bifurcations of Equilibrium States 14 Chapter 6. Loss of Stability of Equilibrium and the Generation of Auto-Oscillations . . . . . . 20 .
From the Back Cover:
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
Condizione libro: Used
Descrizione libro Springer-Verlag, 1984. Condizione libro: Good. First English Edition. Former Library book. Shows some signs of wear, and may have some markings on the inside. Codice libro della libreria GRP56661123
Descrizione libro Springer-Verlag, 1984. Condizione libro: Good. First English Edition. Shows some signs of wear, and may have some markings on the inside. Codice libro della libreria GRP77114241
Descrizione libro Springer-Verlag, 1984. Paperback. Condizione libro: Used: Good. This item is printed on demand. Codice libro della libreria SONG038712859X
Descrizione libro Condizione libro: Good. Book Condition: Good. Codice libro della libreria 97803871285974.0
Descrizione libro Springer-Verlag, 1984. Paperback. Condizione libro: Good. Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Codice libro della libreria mon0001204762
Descrizione libro Springer-Verlag, Berlin, 1984. Paperbound. Condizione libro: Fine. First Edition. Codice libro della libreria 00029021
Descrizione libro Springer-Verlag, 1984. Paperback. Condizione libro: Good. First English Edition. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. Buy with confidence, excellent customer service!. Codice libro della libreria 038712859X
Descrizione libro Springer-Verlag, 1984. Paperback. Condizione libro: New. This item is printed on demand. Codice libro della libreria DADAX038712859X