Arnol´d, V. I. (Vladimir Igorevich), 1937-
[Teoriia katastrof. Inglés]
Catastrophe theory / V. I. Arnol'd ; translated from the Russian by G. S. Wassermann ; based on a translation by R. K. Thomas.
— 3rd rev. and expanded ed. — Berlin : Springer-Verlag, c1992. xiii, 150 p. : il. ; 21 cm.
Traducción de: Teoriia katastrof.
Incluye referencias bibliográficas (p. 129-150).
Contenido: 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.
ISBN 3540548114 (Berlin). — ISBN 0387548114 (New York)
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