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Cover Art
Author Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010.

Title Singularities of differentiable maps. Volume 1, Classification of critical points, caustics and wave fronts [electronic resource] / V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko.

Published [New York] : Birkhäuser, c2012.


Location Call No. Status
Uniform title Osobennosty differentsüruemykh otobrazhenii. English
Physical description 1 online resource.
Series Modern Birkhäuser Classics
Modern Birkhäuser classics.
Notes "Reprint of the 1985 edition."--T.p.
Bibliography Includes bibliographical references and index.
Contents Part 1. Basic Concepts -- The simplest examples -- The classes åII -- The quadratic differential of a map -- The local algebra of a map and the Weierstrass preparation theorem -- The local multiplicity of a holomorphic map -- Stability and infinitesimal stability -- The proof of the stability theorem -- Versal deformations -- The classification of stable germs by genotype -- Review of further results -- Part 2. Critical Points of Smooth Functions -- A start to the classification of critical points -- Quasihomogeneous and semiquasihomogeneous singularities -- The classification of quasihomogeneous functions -- Spectral sequences for the reduction to normal forms -- Lists of singularities -- The determinator of singularities -- Real, symmetric and boundary singularities -- Part 3. The Singularities of Caustics and Wave Fronts -- Lagrangian singularities -- Generating families -- Legendrian singularities -- The classification of Lagrangian and Legendrian singularities -- Bifurcations of caustics and wave fronts.
Other author Guseĭn-Zade, S. M. (Sabir Medzhidovich)
Varchenko, A. N. (Aleksandr Nikolaevich)
Subject Differentiable mappings.
Singularities (Mathematics)
Geometry, algebraic.
Topological Groups.
Global analysis (Mathematics).
Global differential geometry.
Topological Groups, Lie Groups.
Manifolds and Cell Complexes (incl. Diff.Topology).
Applications of Mathematics.
Electronic books.
Variant Title Classification of critical points, caustics and wave fronts
ISBN 9780817683405 (electronic bk.)
0817683402 (electronic bk.)