Singularities of Differentiable Maps, Volume 1

Table of Contents

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   Book Overview
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   Chapter 1 The simplest examples
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   Chapter 2 The classes $$ \sum^{I} $$
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   Chapter 3 The quadratic differential of a map
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   Chapter 4 The local algebra of a map and the Weierstrass preparation theorem
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   Chapter 5 The local multiplicity of a holomorphic map
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   Chapter 6 Stability and infinitesimal stability
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   Chapter 7 The proof of the stability theorem
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   Chapter 8 Versal deformations
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    Chapter 9 The classification of stable germs by genotype
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    Chapter 10 Review of further results
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    Chapter 11 A start to the classification of critical points
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    Chapter 12 Quasihomogeneous and semiquasihomogeneous singularities
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    Chapter 13 The classification of quasihomogeneous functions
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    Chapter 14 Spectral sequences for the reduction to normal forms
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    Chapter 15 Lists of singularities
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    Chapter 16 The determinator of singularities
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    Chapter 17 Real, symmetric and boundary singularities
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    Chapter 18 Lagrangian singularities
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    Chapter 19 Generating families
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    Chapter 20 Legendrian singularities
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    Chapter 21 The classification of Lagrangian and Legendrian singularities
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    Chapter 22 Bifurcations of caustics and wave fronts