Catastrophe theory /
Singularity theory is growing very fast and many new results have been discovered since the Russian edition appeared: for instance the relation of the icosahedron to the problem of by passing a generic obstacle. The reader can find more details about this in the articles "Singularities of ray...
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| Format: | Book |
| Language: | English |
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New York, N.Y. :
Springer-Verlag Berlin Heidelberg,
c1992, 2004
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| Edition: | 3rd revised and expanded edition |
| Subjects: |
Table of Contents:
- 1. Singularities, Bifurcations, and Catastrophe Theories
- 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 the Generation of Auto-Oscillations
- 7. Singularities of Stability Boundaries and the Principle of the Fragility of Good Things
- 8. Caustics, Wave Fronts and Their Metamorphoses
- 9. Large Scale Distribution of Matter in the Universe
- 10. Singularities in Optimization Problems, the Maxima Function
- 11. Singularities of Accessibility Boundaries of attainability
- 12. Smooth surfaces and their projections
- 13. The problem of bypassing an obstacle
- 14. Symplectic and contact geometry
- Appendix: The precursors of catastrophe theory.