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Catastrophe Theory and Its Applications (Dover Books on Mathematics)

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Book Details

  • Publisher: Dover

  • Author: Timothy Poston

  • Language: English

  • Edition: New Edition

  • ISBN: 9780486692715

  • Pages: 491

  • Cover: Paperback

  • Dimensions: 9.1 x 6.5 x 1.4 inches

About The Book

Catastrophe Theory and Its Applications by Timothy Poston is a comprehensive introduction to René Thom’s theory of catastrophes, designed for scientists who wish to apply this innovative mathematical theory in their research. This 491-page paperback edition is accessible, providing an explanation of the mathematical foundation with minimal technicalities, assuming only a basic understanding of calculus.

The book extensively covers Thom's seven elementary catastrophes, which classify different types of discontinuous change. The first half of the book is dedicated to explaining the mathematical concepts behind catastrophe theory, while the second half focuses on its practical applications in the physical sciences, where these ideas can be quantitatively tested and verified. While the book briefly mentions the more speculative applications to the social sciences, it emphasizes their role in more experimentally grounded fields like physics, biology, and engineering.

Over 200 illustrations enrich the reader’s understanding of these complex concepts, making this an invaluable resource for researchers and postgraduate students in engineering, mathematics, physics, and biology, offering insights into the powerful uses of catastrophe theory across diverse disciplines.