Annual Member
| Author | Arnold, Vladimir Igorevich. author |
|---|---|
| Title | Catastrophe Theory [electronic resource] / by Vladimir Igorevich Arnold |
| Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1986 |
| Edition | Second, Revised and Expanded Edition |
| Connect to | http://dx.doi.org/10.1007/978-3-642-96937-9 |
| Descript | XIII, 108 p. online resource |
1 Singularities, Bifurcations, and Catastrophes -- 2 Whitneyโs Singularity Theory -- 3 Applications of Whitneyโs 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
