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saunders peter timothy - an introduction to catastrophe theory

An Introduction to Catastrophe Theory




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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 06/1980





Trama

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.




Sommario

Preface; 1. Introduction; 2. Background; 3. The seven elementary catastrophes; 4. The geometry of the seven elementary catastrophes; 5. Applications in physics; 6. Applications in the social sciences; 7. Applications in biology; 8. Morphogenesis; 9. Conclusions; Exercises; References; Author index; Subject index.




Prefazione

The aim of this book is to make it possible for anyone with a comparatively modest background in mathematics to understand the theory well enough to follow the arguments in papers in which it is used. This controversial and intriguing book will find applications as a text and guide to theoretical biologists, and scientists.










Altre Informazioni

ISBN:

9780521230421

Condizione: Nuovo
Dimensioni: 228 x 14 x 152 mm Ø 405 gr
Formato: Copertina rigida
Pagine Arabe: 160


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