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Catastrophe theory

Author: V I Arnolʹd
Publisher: Berlin ; New York : Springer-Verlag, 1984.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Arnolʹd, V.I. (Vladimir Igorevich), 1937-2010.
Catastrophe theory.
Berlin ; New York : Springer-Verlag, 1984
(OCoLC)899694121
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: V I Arnolʹd
ISBN: 038712859X 9780387128597 354012859X 9783540128595
OCLC Number: 9969022
Language Note: Translation of: Teorii︠︡ katastrof.
Notes: Translation of: Teorii︠a︡ katastrof.
Description: 78, [1] pages : illustrations ; 21 cm
Contents: 1. Singularities, Bifurcations, and Catastrophe Theories.- 2. Whitney's Singularity Theory.- 3. Applications of Whitney's Theory.- 4. A Catastrophe Machine.- 5. Bifurcations of Equilibrium States.- 6. Loss of Stability of Equilibrium and the Generation of Auto-Oscillations.- 7. Singularities of Stability Boundaries and the Principle of the Fragility of Good Things.- 8. Caustics, Wave Fronts and Their Metamorphoses.- 9. Large Scale Distribution of Matter in the Universe.- 10. Singularities in Optimization Problems, the Maxima Function.- 11. Singularities of Accessibility Boundaries.- 12. Smooth Surfaces and Their Projections.- 13. Problems of By-Passing Obstacles.- 14. Symplectic and Contact Geometries.- 15. The Mystics of the Catastrophe Theory.- References.
Other Titles: Teorii︠a︡ katastrof.
Responsibility: V.I. Arnold ; translated from the Russian by R.K. Thomas.

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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 Read more...

 
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