Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts - Softcover

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

Softcover

ISBN 10: 0817683410 ISBN 13: 9780817683412

Verlag: Birkhäuser, 2012

Inhaltsangabe

​​​​​​Part I. Basic concepts.- The simplest examples.- The classes Sigma^ I .- 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 II. 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 III. Singularities of caustics and wave fronts.- Lagrangian singularities.- Generating families.- Legendrian singularities.- The classification of Lagrangian and Legendrian singularities.- The bifurcation of caustics and wave fronts.- References.- Further references.- Subject Index.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2012
• ISBN 10: 0817683410
• ISBN 13: 9780817683412
• Einband: Paperback
• Sprache: Englisch
• Kontakt zum Hersteller: Nicht verfügbar