Catastrophe Theory and its Applications

Timothy Poston, Ian Stewart

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English

Dover
29 February 2012

Mathematics & Sciences; Analytic topology; Historical geology; The Earth: natural history general

Series: Dover Books on Mathema 1.4tics

Summary
Details

This first integrated treatment of the main ideas behind Rene Thom's theory of catastrophes aims to make them accessible to scientists wishing to apply the theory in their own fields of research. The mathematical basis of the theory is therefore explained with a minimum of technicalities, although some knowledge of the calculus of variables is assumed.

Thom's now-famous list of seven elementary catastrophes, broadly classifying various types of discontinuous change, is elucidated, as are the reasons for its appearance. Nearly half the book concentrates on detailed applications of the theory, emphasizing its uses in the physical sciences where applications can be made quantitative and can be experimentally verified. The more controversial and speculative applications to areas in the social sciences are also mentioned, but not discussed in detail.

Over 200 illustrations help clarify the ideas and applications in this volume, which will be of interest to researchers and postgraduate students in such diverse disciplines as engineering, mathematics, physics, and biology. 1978 edition. Bibliography.

By: Timothy Poston, Ian Stewart
Imprint: Dover
Country of Publication: United States
Edition: New edition
Dimensions: Height: 235mm, Width: 165mm, Spine: 25mm
Weight: 708g
ISBN: 9780486692715
ISBN 10: 048669271X
Series: Dover Books on Mathema 1.4tics
Pages: 491
Publication Date: 29 February 2012
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active