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" Catastrophe Theory "
by Vladimir Igorevich Arnold.
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BL
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| Record Number
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756608
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b576571
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| Main Entry
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by Vladimir Igorevich Arnold.
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| Title & Author
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Catastrophe Theory\ by Vladimir Igorevich Arnold.
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| Edition Statement
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Second, rev. and Expanded edition
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| Publication Statement
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Berlin, Heidelberg : Springer Berlin Heidelberg, 1986
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| Page. NO
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(xiii, 108 pages 72 illustrations)
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| ISBN
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3642969372
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: 9783642969379
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| Contents
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1 Singularities, Bifurcations, and Catastrophes --; 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 of Self-Oscillating Modes of Behaviour --; 7 Singularities of the Stability Boundary and the Principle of the Fragility of Good Things --; 8 Caustics, Wave Fronts, and Their Metamorphoses --; 9 The Large-Scale Distribution of Matter in the Universe --; 10 Singularities in Optimization Problems: the Maximum Function --; 11 Singularities of the Boundary of Attainability --; 12 Smooth Surfaces and Their Projections --; 13 The Problem of Bypassing an Obstacle --; 14 Symplectic and Contact Geometry --; 15 Complex Singularities --; 16 The Mysticism of Catastrophe Theory --; Bibliographical Comments.
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| Subject
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Global analysis (Mathematics)
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| Subject
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Mathematics.
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V I Arnolʹd
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