Catastrophe Theory

Paperback Engels 2003 3e druk 9783540548119
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Samenvatting

The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves, and interior scattering. Three new sections offer the history of singularity and its applications from da Vinci to today, a discussion of perestroika in terms of the theory of metamorphosis, and a list of 93 problems touching on most of the subject matter in the book.

Specificaties

ISBN13:9783540548119
Taal:Engels
Bindwijze:paperback
Aantal pagina's:150
Uitgever:Springer Berlin Heidelberg
Druk:3

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Inhoudsopgave

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.- References.

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        Catastrophe Theory