Almost every scientist has heard of catastrophe theory and knows that there has been a considerable amount of controversy surrounding it. Yet comparatively few know anything more about it than they may have read in an article written for the general public. The aim of this book is to make it possible for anyone with a comparatively modest background in mathematics - no more than is usually included in a first year university course for students not specialising in the subject - to understand the theory well enough to follow the arguments in papers in which it is used and, if the occasion arises, to use it. Over half the book is devoted to applications, partly because it is not possible yet for the mathematician applying catastrophe theory to separate the analysis from the original problem. Most of these examples are drawn from the biological sciences, partly because they are more easily understandable and partly because they give a better illustration of the distinctive nature of catastrophe theory. This controversial and intriguing book will find applications as a text and guide to theoretical biologists, and scientists generally who wish to learn more of a novel theory.
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Paperback. Zustand: Very Good. 1st Edition. yellow and maroon printed wraps; rubbed edges;144 clean, unmarked pages/index. Catastrophe theory is a mathematical framework used to model how systems can undergo sudden, large changes in behavior despite continuous changes in their control parameters. Developed by René Thom in the 1960s, it explains phenomena like a building collapsing, water boiling, or an earthquake by showing how small, smooth changes can lead to an abrupt "catastrophe" or discontinuity in the system's state. These abrupt changes happen when the system's equilibrium points suddenly disappear or change stability. Bestandsnummer des Verkäufers 1252419
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