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.

Catastrophe Theory was introduced in the 1960s by the renowned Fields Medal mathematician René Thom as a part of the general theory of local singularities. Since then it has found applications across many areas, including biology, economics, and chemical kinetics. By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved to

An introduction to catastrophe theory, a mathematical theory which deals with those changes which occur abruptly rather than smoothly. Includes many applications to illustrate the different ways in which catastrophe can be used in life, physical and social sciences.

From Catastrophe to Chaos: A General Theory of Economic Discontinuities presents and unusual perspective on economics and economic analysis. Current economic theory largely depends upon assuming that the world is fundamentally continuous. However, an increasing amount of economic research has been done using approaches that allow for discontinuities such as catastrophe theory, chaos theory, synergetics, and fractal geometry. The spread of such approaches across a variety of disciplines of thought has constituted a virtual intellectual revolution in recent years. This book reviews the applications of these approaches in various subdisciplines of economics and draws upon past economic thinkers to develop an integrated view of economics as a whole from the perspective of inherent discontinuity.

René Thom, the famous French mathematician and founder of catastrophe theory, considered linguistics an exemplary field for the application of his general morphology. It is surprising that physicists, chemists, biologists, psychologists and sociologists are all engaged in the field of catastrophe theory, but that there has been almost no echo from linguistics. Meanwhile linguistics has evolved in the direction of René Thom’s intuitions about an integrated science of language and it has become a necessary task to review, update and elaborate the proposals made by Thom and to embed them in the framework of modern semantic theory.

Chaos and catastrophe theories offer a complex new technique for modeling. By posing and answering a series of questions - What is Chaos? How can it be measured? How are the models estimated? What is catastrophe? How is it modeled? - the book introduces the reader to chaotic dynamics. Other topics covered are finding settings in which chaos can be measured, estimating chaos using nonlinear least squares, and specifying catastrophe models. Finally, the author estimates a nonlinear system of equations that models catastrophe using real survey data.

This book argues that catastrophe is a particular way of governing future events – such as terrorism, climate change or pandemics – which we cannot predict but which may strike suddenly, without warning, and cause irreversible damage. At a time where catastrophe increasingly functions as a signifier of our future, imaginaries of pending doom have fostered new modes of anticipatory knowledge and redeployed existing ones. Although it shares many similarities with crises, disasters, risks and other disruptive incidents, this book claims that catastrophes also bring out the very limits of knowledge and management. The politics of catastrophe is turned towards an unknown future, which must be imagined and inhabited in order to be made palpable, knowable and actionable. Politics of Catastrophe critically assesses the effects of these new practices of knowing and governing catastrophes to come and challenges the reader to think about the possibility of an alternative politics of catastrophe. This book will be of interest to students of critical security studies, risk theory, political theory and International Relations in general.