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KEY WORDS: catastrophe theory, differential topology, structural stability applications, critique. T. Poston & I. Stewart: Catastrophe The- ory and Its Applications, London: Pitman Publishing, Ltd., INTRODUCTION. ODERN mathematics is of interest. M chiefly to scholars specializing in sub- jects such as knot theory or. Rene Thom's catastrophe theory  has attracted considerable attention recently, partly because of claims as to its universality. (which are sometimes exaggerated). It is primarily a theory of the topological structure of smooth functions and their singularities. In applications the relevant phenomena tend to exhibit. AN INTRODUCTION TO CATASTROPHE THEORY AND. ITS APPLICATIONS*. MARTIN GOLUBITSKYt. Abstract. This article is divided into two parts. In the first we give a description of the basic theor elementary catastrophe theory, along with heuristic explanations of why these theorems are val particular, the main ideas in.
Catastrophe Theory and Its Applications (Tim Poston and Ian Stewart). Related Databases. Web of Science. You must be logged in with an active subscription to view this. Article Data. History. Published online: 10 July Publication Data. ISSN (print): ISSN (online): Publisher: Society for. Here we survey the applications of Catastrophe Theory to the physical sciences ( physics, chemistry, engineering, fluid mechanics, etc.). For brevity we confine attention to an area .. M. GolubitskyReview of Catastrophe Theory and its Applications by T. Poston and I.N. Stewart. Bull. Am. Math. Soc., 1 (NS) (), pp . Citation. Golubitsky, Martin. Review: Tim Poston and Ian Stewart, Catastrophe theory and its applications. Bull. Amer. Math. Soc. (N.S.) 1 (), no. 3, .