Singularities of differentiable maps. Volume 1, Classification of critical points, caustics and wave fronts
Originally published in the 1980s, Singularities of Differentiable Maps: The Classification of Critical Points, Caustics and Wave Fronts was the first of two volumes that together formed a translation of the authors' influential Russian monograph on singularity theory. This uncorrected softcov...
Tallennettuna:
| Päätekijät: | , , |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2012. |
| Sarja: | Modern Birkhäuser Classics
|
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Traduction de l'édition russe : "Osobennosti differentsiiruemykh otobrazhenii, Moscow : Science, 1982 (vol. I) Numérisation de l'édition parue en 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Singularities of differentiable maps, Volume 1, The classification of critical points, caustics and wave fronts, V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko, Reprint of the 1985 edition, New York, Birkhäuser, 2012, 1 vol. (XII-382 p.), Modern Birkhäuser classics, 978-0-8176-8339-9 |
Sisällysluettelo:
- 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