Catastrophe Theory

Bibliographic Details
Main Author: Arnol'd, Vladimir I.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1986, 1986
Edition:2nd ed. 1986
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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