An Introduction to Catastrophe Theory

Author:   Peter Timothy Saunders
Publisher:   Cambridge University Press
ISBN:  

9781139171533


Publication Date:   05 June 2012
Format:   Undefined
Availability:   Available To Order   Availability explained
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An Introduction to Catastrophe Theory


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Overview

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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Author:   Peter Timothy Saunders
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
ISBN:  

9781139171533


ISBN 10:   1139171534
Publication Date:   05 June 2012
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

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.

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