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Catastrophe Theory And Its Applications (Dover Books On Mathematics)
This first integrated treatment of the main ideas behind René 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 cat...
Series: Dover Books on Mathematics
Paperback: 512 pages
Publisher: Dover Publications; 1st edition (February 29, 2012)
Product Dimensions: 6.5 x 1.2 x 9.5 inches
Amazon Rank: 1008004
Format: PDF ePub TXT ebook
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“well done, out of fashion but interesting for the history of mathematical sciences....”
strophes, 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.