Catastrophe theory /
Guardado en:
| Autor Principal: | |
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| Formato: | Libro |
| Idioma: | English Russian |
| Publicado: |
Berlin :
Springer-Verlag,
c1986.
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| Edición: | 2nd rev. and expanded ed. |
| Materias: | |
| Etiquetas: |
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Tabla de Contenidos:
- 1. Singularities, bifurcations, and catastrophes
- 2. Whitney's singularity theory
- 3. Applications of Whitney's theory
- 4. A catastrophe machine
- 5. Bifurcations of equilibrium states
- 6. Loss of stability of equilibrium and of self-oscillating modes of behaviour
- 7. Singularities of the stability boundary and the principle of the fragility of good things
- 8. Caustics, wave fronts, and their metamorphoses
- 9. The large-scale distribution of matter in the universe
- 10. Singularities in optimization problems: the maximum function
- 11. Singularities of the boundary of attainability
- 12. Smooth surfaces and their projections
- 13. The problem of bypassing an obstacle
- 14. Symplectic and contact geometry
- 15. Complex singularities
- 16. The mysticism of catastrophe theory.