Catastrophe Theory

Vladimir I. Arnold
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Vladimir I. Arnold: Steklov Mathematical Institute

in Springer Books from Springer

Date: 1992
Edition: Third, Revised and Expanded Edition
ISBN: 978-3-642-58124-3
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Chapters in this book:

Ch 1 Singularities, Bifurcations, and Catastrophes

Vladimir I. Arnold

Ch 2 Whitney’s Singularity Theory

Vladimir I. Arnold

Ch 3 Applications of Whitney’s Theory

Vladimir I. Arnold

Ch 4 A Catastrophe Machine

Vladimir I. Arnold

Ch 5 Bifurcations of Equilibrium States

Vladimir I. Arnold

Ch 6 Loss of Stability of Equilibrium and of Self-Oscillating Modes of Behaviour

Vladimir I. Arnold

Ch 7 Singularities of the Stability Boundary and the Principle of the Fragility of Good Things

Vladimir I. Arnold

Ch 8 Caustics, Wave Fronts, and Their Metamorphoses

Vladimir I. Arnold

Ch 9 The Large-Scale Distribution of Matter in the Universe

Vladimir I. Arnold

Ch 10 Singularities in Optimization Problems: the Maximum Function

Vladimir I. Arnold

Ch 11 Singularities of the Boundary of Attainability

Vladimir I. Arnold

Ch 12 Smooth Surfaces and Their Projections

Vladimir I. Arnold

Ch 13 The Problem of Bypassing an Obstacle

Vladimir I. Arnold

Ch 14 Symplectic and Contact Geometry

Vladimir I. Arnold

Ch 15 Complex Singularities

Vladimir I. Arnold

Ch 16 The Mysticism of Catastrophe Theory

Vladimir I. Arnold

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DOI: 10.1007/978-3-642-58124-3

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