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...
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| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Boston :
Birkhäuser Boston
2012.
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| Colección: | Modern Birkhäuser Classics.
Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32906705*spi |
Tabla de Contenidos:
- 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.
