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Author : T. Poston
Publisher : Unknown
Page : 128 pages
File Size : 49,8 Mb
Release : 1975
Category : Electronic
ISBN : OCLC:987216501
Author : T. Poston,Ian Stewart
Publisher : Pitman Publishing
Page : 520 pages
File Size : 51,9 Mb
Release : 1978
Category : Mathematics
ISBN : UOM:39015023843546
Author : Vladimir I. Arnol'd
Publisher : Springer Science & Business Media
Page : 120 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642969379
Author : Robert Gilmore
Publisher : Courier Corporation
Page : 696 pages
File Size : 41,5 Mb
Release : 1993-01-01
Category : Technology & Engineering
ISBN : 0486675394
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.
Author : Domencio Castrigiano,Sandra Hayes
Publisher : CRC Press
Page : 281 pages
File Size : 52,6 Mb
Release : 2019-06-03
Category : Mathematics
ISBN : 9780429970351
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
Author : Peter Timothy Saunders
Publisher : Cambridge University Press
Page : 162 pages
File Size : 44,5 Mb
Release : 1980-06-30
Category : Mathematics
ISBN : 0521297826
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.
Author : Vladimir I. Arnol'd
Publisher : Springer Science & Business Media
Page : 161 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642581243
The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves, and interior scattering. Three new sections offer the history of singularity and its applications from da Vinci to today, a discussion of perestroika in terms of the theory of metamorphosis, and a list of 93 problems touching on most of the subject matter in the book.
Author : Courtney Brown
Publisher : SAGE Publications
Page : 88 pages
File Size : 49,8 Mb
Release : 1995-06-28
Category : Social Science
ISBN : 9781506339948
What is chaos? How can it be measured? How are the models estimated? What is catastrophe? How is it modelled? How are the models estimated? These questions are the focus of this volume. Beginning with an explanation of the differences between deterministic and probabilistic models, Brown then introduces the reader to chaotic dynamics. Other topics covered are finding settings in which chaos can be measured, estimating chaos using nonlinear least squares and specifying catastrophe models. Finally a nonlinear system of equations that models catastrophe using real survey data is estimated.
Author : Tim Poston,Professor of Math and Gresham Professor of Geometry Ian Stewart
Publisher : Unknown
Page : 128 pages
File Size : 46,6 Mb
Release : 2014-01-01
Category : Electronic
ISBN : 1306876095
First integrated treatment of main ideas behind Rene Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations. 1978 edition.
Author : Alexander Edward Richard Woodcock,Monte Davis
Publisher : Dutton Adult
Page : 168 pages
File Size : 42,8 Mb
Release : 1978
Category : Mathematics
ISBN : UCAL:B4249023
Explains catastrophe theory, which uses geometric shapes to transform abstract concepts into concrete visual pictures, and cites numerous examples to show its usefulness in dealing with problems in economics, psychology, biology, politics, and history.
Author : Yung-Chen Lu
Publisher : Unknown
Page : 199 pages
File Size : 46,7 Mb
Release : 1980
Category : Electronic
ISBN : 1461299101
Author : Tim Poston,Ian Stewart
Publisher : Courier Corporation
Page : 514 pages
File Size : 40,8 Mb
Release : 2014-05-05
Category : Mathematics
ISBN : 9780486143781
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.
Author : V.I. Arnold,V.S. Afrajmovich,Yu.S. Il'yashenko,L.P. Shil'nikov
Publisher : Springer Science & Business Media
Page : 279 pages
File Size : 51,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9783642578847
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.
Author : V. I. Arnol'd
Publisher : Springer Science & Business Media
Page : 91 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642967993
Singularity theory is growing very fast and many new results have been discovered since the Russian edition appeared: for instance the relation of the icosahedron to the problem of by passing a generic obstacle. The reader can find more details about this in the articles "Singularities of ray systems" and "Singularities in the calculus of variations" listed in the bi bliography of the present edition. Moscow, September 1983 v. I. Arnold Preface to the Russian Edition "Experts discuss forecasting disasters" said a New York Times report on catastrophe theory in November 1977. The London Times declared Catastrophe Theory to be the "main intellectual movement of the century" while an article on catastrophe theory in Science was headed "The emperor has no clothes". This booklet explains what catastrophe theory is about and why it arouses such controversy. It also contains non-con troversial results from the mathematical theories of singulari ties and bifurcation. The author has tried to explain the essence of the fundamen tal results and applications to readers having minimal mathe matical background but the reader is assumed to have an in quiring mind. Moscow 1981 v. I. Arnold Contents Chapter 1. Singularities, Bifurcations, and Catastrophe Theories ............... 1 Chapter 2. Whitney's Singularity Theory ... 3 Chapter 3. Applications of Whitney's Theory 7 Chapter 4. A Catastrophe Machine ...... 10 Chapter 5. Bifurcations of Equilibrium States 14 Chapter 6. Loss of Stability of Equilibrium and the Generation of Auto-Oscillations . . . . . . 20 .
Author : Wolfgang Wildgen
Publisher : John Benjamins Publishing
Page : 130 pages
File Size : 47,8 Mb
Release : 1982-01-01
Category : Language Arts & Disciplines
ISBN : 9789027280602
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.
