Catastrophe Theory for Scientists and Engineers

Author: Robert Gilmore
Publisher: Courier Corporation
ISBN: 9780486675398
Category : Technology & Engineering
Languages : en
Pages : 696

Book Description
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

Author: Vladimir I. Arnol'd
Publisher: Springer Science & Business Media
ISBN: 3642969372
Category : Mathematics
Languages : en
Pages : 120

Book Description

Catastrophe Theory

Author: Domencio Castrigiano
Publisher: CRC Press
ISBN: 0429970358
Category : Mathematics
Languages : en
Pages : 281

Book Description
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

An Introduction to Catastrophe Theory

Author: Peter Timothy Saunders
Publisher: Cambridge University Press
ISBN: 9780521297820
Category : Mathematics
Languages : en
Pages : 162

Book Description
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.

Singularity Theory and an Introduction to Catastrophe Theory

Author: Yung-Chen Lu
Publisher:
ISBN: 9781461299103
Category :
Languages : en
Pages : 199

Book Description

Catastrophe Theoretic Semantics

Author: Wolfgang Wildgen
Publisher: John Benjamins Publishing
ISBN: 9027280606
Category : Language Arts & Disciplines
Languages : en
Pages : 130

Book Description
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.

Differentiable Germs and Catastrophes

Author: Theodor Bröcker
Publisher: Cambridge University Press
ISBN: 0521206812
Category : Mathematics
Languages : en
Pages : 189

Book Description
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.

Catastrophe Theory and Its Applications

Author: Tim Poston
Publisher: Courier Corporation
ISBN: 0486143783
Category : Mathematics
Languages : en
Pages : 514

Book Description
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.

Structural Stability And Morphogenesis

Author: Rene Thom
Publisher: CRC Press
ISBN: 042996157X
Category : Mathematics
Languages : en
Pages : 404

Book Description
First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.

Dynamical Systems V

Author: V.I. Arnold
Publisher: Springer Science & Business Media
ISBN: 3642578845
Category : Mathematics
Languages : en
Pages : 279

Book Description
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.