عنوان

Catastrophe Theory

3642969372

9783642969379

b576571

Catastrophe Theory

[Book]

by Vladimir Igorevich Arnold.

Second, rev. and Expanded edition

Berlin, Heidelberg

Springer Berlin Heidelberg

1986

(xiii, 108 pages 72 illustrations)

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.

Global analysis (Mathematics)

Mathematics.

by Vladimir Igorevich Arnold.

V I Arnolʹd

[Book]

Y