Catastrophe Theory for Scientists and Engineers

Catastrophe Theory for Scientists and Engineers

Author: Robert Gilmore

Publisher: Courier Corporation

Published: 1993-01-01

Total Pages: 696

ISBN-13: 9780486675398

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This advanced-level treatment describes the mathematics of catastrophe theory and its applications to problems in mathematics, physics, chemistry and engineering. 28 tables. 397 black-and-white illustrations. 1981 edition.


Catastrophe Theory

Catastrophe Theory

Author: Vladimir I. Arnol'd

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 120

ISBN-13: 3642969372

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An Introduction to Catastrophe Theory

An Introduction to Catastrophe Theory

Author: Peter Timothy Saunders

Publisher: Cambridge University Press

Published: 1980-06-30

Total Pages: 162

ISBN-13: 9780521297820

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An introduction to catastrophe theory, a mathematical theory which deals with those changes which occur abruptly rather than smoothly. Includes many applications to illustrate the different ways in which catastrophe can be used in life, physical and social sciences.


Catastrophe Theory

Catastrophe Theory

Author: Domencio Castrigiano

Publisher: CRC Press

Published: 2019-06-03

Total Pages: 281

ISBN-13: 0429970358

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Catastrophe Theory was introduced in the 1960s by the renowned Fields Medal mathematician René Thom as a part of the general theory of local singularities. Since then it has found applications across many areas, including biology, economics, and chemical kinetics. By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved to


Catastrophe Theoretic Semantics

Catastrophe Theoretic Semantics

Author: Wolfgang Wildgen

Publisher: John Benjamins Publishing

Published: 1982-01-01

Total Pages: 130

ISBN-13: 9027280606

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René Thom, the famous French mathematician and founder of catastrophe theory, considered linguistics an exemplary field for the application of his general morphology. It is surprising that physicists, chemists, biologists, psychologists and sociologists are all engaged in the field of catastrophe theory, but that there has been almost no echo from linguistics. Meanwhile linguistics has evolved in the direction of René Thom’s intuitions about an integrated science of language and it has become a necessary task to review, update and elaborate the proposals made by Thom and to embed them in the framework of modern semantic theory.


Catastrophe Theory and Its Applications

Catastrophe Theory and Its Applications

Author: Tim Poston

Publisher: Courier Corporation

Published: 2014-05-05

Total Pages: 514

ISBN-13: 0486143783

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First integrated treatment of main ideas behind René Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations clarify text designed for researchers and postgraduate students in engineering, mathematics, physics and biology. 1978 edition. Bibliography.


Differentiable Germs and Catastrophes

Differentiable Germs and Catastrophes

Author: Theodor Bröcker

Publisher: Cambridge University Press

Published: 1975-07-17

Total Pages: 189

ISBN-13: 0521206812

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This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.


Dynamical Systems V

Dynamical Systems V

Author: V.I. Arnold

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 279

ISBN-13: 3642578845

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Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.