Foundations of catastrophe theory
Antal Majthay.
Boston : Pitman Advanced Publishing Program, 1985.
x, 262 págs. : ilustraciones ; 24 cm.
Serie: Monographs, advanced texts and surveys in pure and applied mathematics ; 26
ISBN: 0273085514
Bibliografía: p. 252-257.
Reseña: MathSciNet, 89h:58029
Contenido
- 1. Coordinate systems
- 2. Differential manifolds
- 3. The inverse function theorem
- 4. Canonical local representatives
- 5. Differential manifolds in practice
- 6. Differential calculus on manifolds
- 7. Canonical representatives of the elementary catastrophes
- 8. Geometric analysis of the umbilics and the butterfly
- 9. Germs of mappings
- 10. Jets
- 11. Generic properties
- 12. The Whitney topologies
- 13. Transversality
- 14. Structural stability.