Singularities of Differentiable Maps
Springer-Verlag New York Inc.
978-1-4612-9589-1 (ISBN)
I. Basic concepts.- 1. The simplest examples.- 2. The classes ?I.- 3. The quadratic differential of a map.- 4. The local algebra of a map and the Weierstrass preparation theorem.- 5. The local multiplicity of a holomorphic map.- 6. Stability and infinitesimal stability.- 7. The proof of the stability theorem.- 8. Versai deformations.- 9. The classification of stable germs by genotype.- 10. Review of further results.- II. Critical points of smooth functions.- 11. A start to the classification of critical points.- 12. Quasihomogeneous and semiquasihomogeneous singularities.- 13. The classification of quasihomogeneous functions.- 14. Spectral sequences for the reduction to normal forms.- 15. Lists of singularities.- 16. The determinator of singularities.- 17. Real, symmetric and boundary singularities.- III. Singularities of caustics and wave fronts.- 18. Lagrangian singularities.- 19. Generating families.- 20. Legendrian singularities.- 21. The classification of Lagrangian and Legendrian singularities.- 22. The bifurcation of caustics and wave fronts.- References.- Further references.
Reihe/Serie | Monographs in Mathematics ; 82 |
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Zusatzinfo | 396 p. |
Verlagsort | New York |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
ISBN-10 | 1-4612-9589-0 / 1461295890 |
ISBN-13 | 978-1-4612-9589-1 / 9781461295891 |
Zustand | Neuware |
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