Catastrophe Theory [electronic resource] /
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 -- Bibliographical Comments.
Main Authors: | , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg,
1986
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Subjects: | Mathematics., Mathematical analysis., Analysis (Mathematics)., Analysis., |
Online Access: | http://dx.doi.org/10.1007/978-3-642-96937-9 |
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