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.
Institut d'Etudes Scientifiques de Carg'ese, Publ. Math. Dept., Univ. ... Goodwin, B. Review of Thom, R. Stabilité Structurelle et Morphogénése. ... Gromoll, D. and Meyer, W. On differentiable functions with isolated critical points.
Explains catastrophe theory, which uses geometric shapes to transform abstract concepts into concrete visual pictures, and cites numerous examples to show its usefulness in dealing with problems in economics, psychology,...
This advanced-level treatment describes the mathematics of catastrophe theory and its applications to problems in mathematics, physics, chemistry and engineering. 28 tables. 397 black-and-white illustrations. 1981 edition.
An introduction to catastrophe theory, a mathematical theory which deals with those changes which occur abruptly rather than smoothly.
0-8133-4125-6 Catastrophe Theory: Second Edition 0-8133-4126-4 Catastrophe Theory: Second Edition
The authors of this book, the first printing of which was published as Volume 5 of the Encyclopaedia of Mathematical Sciences, have given a masterly exposition of these two theories, with penetrating insight.
Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems, via a system where the equilibrium point changes slowly and smoothly as the parameters change slowly and ...
Researchers wanting to understand and make use of this exciting new direction in social measurement and modeling will find this book an excellent and cogent introduction.
This book aims to provide a straightforward introduction to chemical applications of the catastrophe theory.
Catastrophe, Theory and Applications