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Catastrophe Theory

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Cover of 'Catastrophe Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Singularities, Bifurcations, and Catastrophes
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    Chapter 2 Whitney’s Singularity Theory
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    Chapter 3 Applications of Whitney’s Theory
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    Chapter 4 A Catastrophe Machine
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    Chapter 5 Bifurcations of Equilibrium States
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    Chapter 6 Loss of Stability of Equilibrium and of Self-Oscillating Modes of Behaviour
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    Chapter 7 Singularities of the Stability Boundary and the Principle of the Fragility of Good Things
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    Chapter 8 Caustics, Wave Fronts, and Their Metamorphoses
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    Chapter 9 The Large-Scale Distribution of Matter in the Universe
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    Chapter 10 Singularities in Optimization Problems: the Maximum Function
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    Chapter 11 Singularities of the Boundary of Attainability
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    Chapter 12 Smooth Surfaces and Their Projections
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    Chapter 13 The Problem of Bypassing an Obstacle
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    Chapter 14 Symplectic and Contact Geometry
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    Chapter 15 Complex Singularities
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    Chapter 16 The Mysticism of Catastrophe Theory
Attention for Chapter 1: Singularities, Bifurcations, and Catastrophes
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