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- catalog abstract ""This short book, which is a translation from the original Russian, provides a concise, non-mathematical review of the less controversial results in catastrophe theory. The author begins by describing the established results in the theory of singularities and bifurcation and continues with chapters on the applications of the theory to topics such as wavefront propagation, the distribution of matter within the universe, and optimisation and control. The presentation is enhanced by numerous diagrams. ... This is a short, critical and non-mathematical review of catastrophe theory which will provide a useful introduction to the subject."--Physics Bulletin.".
- catalog alternative "Teorii︠a︡ katastrof. English".
- catalog contributor b589361.
- catalog created "c1986.".
- catalog date "1986".
- catalog date "c1986.".
- catalog dateCopyrighted "c1986.".
- catalog description ""This short book, which is a translation from the original Russian, provides a concise, non-mathematical review of the less controversial results in catastrophe theory. The author begins by describing the established results in the theory of singularities and bifurcation and continues with chapters on the applications of the theory to topics such as wavefront propagation, the distribution of matter within the universe, and optimisation and control. The presentation is enhanced by numerous diagrams. ... This is a short, critical and non-mathematical review of catastrophe theory which will provide a useful introduction to the subject."--Physics Bulletin.".
- catalog description "Bibliography: p. 95-108.".
- catalog description "Singularities, bifurcations, and catastrophes -- Whitney's singularity theory -- Applications of Whitney's theory -- A catastrophe machine -- Bifurcations of equilibrium states -- Loss of stability of equilibrium and of self-oscillating modes of behaviour -- Singularities of the stability boundary and the principle of the fragility of good things -- Caustics, wave fronts, and their metamorphoses -- The large-scale distribution of matter in the universe -- Singularities in optimization problems: the maximum functions -- Singularities of the boundary of attainability -- Smooth surfaces and their projections -- The problem of bypassing an obstacle -- Symplectic and contact geometry -- Complex singularities -- The mysticism of catastrophe theory.".
- catalog extent "ix, 108 p. :".
- catalog hasFormat "Catastrophe theory.".
- catalog identifier "0387161996 (U.S. : pbk.)".
- catalog identifier "3540161996 (Berlin)".
- catalog isFormatOf "Catastrophe theory.".
- catalog issued "1986".
- catalog issued "c1986.".
- catalog language "eng".
- catalog language "engrus".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Catastrophe theory.".
- catalog subject "514/.7 19".
- catalog subject "Catastrophes (Mathematics)".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "QA614.58 .A7613 1986".
- catalog tableOfContents "Singularities, bifurcations, and catastrophes -- Whitney's singularity theory -- Applications of Whitney's theory -- A catastrophe machine -- Bifurcations of equilibrium states -- Loss of stability of equilibrium and of self-oscillating modes of behaviour -- Singularities of the stability boundary and the principle of the fragility of good things -- Caustics, wave fronts, and their metamorphoses -- The large-scale distribution of matter in the universe -- Singularities in optimization problems: the maximum functions -- Singularities of the boundary of attainability -- Smooth surfaces and their projections -- The problem of bypassing an obstacle -- Symplectic and contact geometry -- Complex singularities -- The mysticism of catastrophe theory.".
- catalog title "Catastrophe theory / V.I. Arnold ; translated from the Russian by G.S. Wassermann based on a translation by R.K. Thomas.".
- catalog title "Teorii︠a︡ katastrof. English".
- catalog type "text".