Catastrophe theory / V. I. Arnol'd ; translated from the Russian by G. S. Wassermann ; based on a translation by R. K. Thomas.
Idioma: Inglés Lenguaje original: Ruso Editor: Berlin : Springer-Verlag, c1992Edición: 3rd rev. and expanded edDescripción: xiii, 150 p. : il. ; 21 cmISBN: 3540548114 (Berlin); 0387548114 (New York)Títulos uniformes: Teoriia katastrof. Inglés Tema(s): Catastrophes (Mathematics)Otra clasificación: 58K35 | 58C28 (00A05 00A69 32S05 58-02 58C27) Recursos en línea: Google Book Search1. Singularities, bifurcations, and catastrophes2. Whitney's singularity theory3. Applications of Whitney's theory4. A catastrophe machine5. Bifurcations of equilibrium states6. Loss of stability of equilibrium and of self-oscillating modes of behaviour7. Singularities of the stability boundary and the principle of the fragility of good things8. Caustics, wave fronts, and their metamorphoses9. The large-scale distribution of matter in the universe10. Singularities in optimization problems: the maximum function11. Singularities of the boundary of attainability12. Smooth surfaces and their projections13. The problem of bypassing an obstacle14. Symplectic and contact geometry15. Complex singularities16. The mysticism of catastrophe theoryAppendix: The precursors of catastrophe theoryConclusionProblems.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 58 Ar752-3 (Browse shelf) | Available | A-6529 |
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| 58 Ar752 Singularités des applications différentiables / | 58 Ar752-2 Catastrophe theory / | 58 Ar752-2 Catastrophe theory / | 58 Ar752-3 Catastrophe theory / | 58 Ar752p Arnold's problems / | 58 B298 Variational principles in physics / | 58 B725 An introduction to differentiable manifolds and Riemannian geometry / |
Traducción de: Teoriia katastrof.
Incluye referencias bibliográficas (p. 129-150).
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 -- Appendix: The precursors of catastrophe theory -- Conclusion -- Problems.
MR, 93h:58018
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