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Singularities of Differentiable Maps

Overview of attention for book
Cover of 'Singularities of Differentiable Maps'

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 Σ 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
Attention for Chapter 2: The classes Σ I
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Chapter title
The classes Σ I
Chapter number 2
Book title
Singularities of Differentiable Maps
Published by
Birkhäuser Boston, January 1985
DOI 10.1007/978-1-4612-5154-5_2
Book ISBNs
978-1-4612-9589-1, 978-1-4612-5154-5
Authors

V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko, Arnold, V. I., Gusein-Zade, S. M., Varchenko, A. N.

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