Catastrophe Theory


Catastrophe Theory
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Catastrophe Theory


Catastrophe Theory
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Author : Alexander Edward Richard Woodcock
language : en
Publisher: Dutton Adult
Release Date : 1978

Catastrophe Theory written by Alexander Edward Richard Woodcock and has been published by Dutton Adult this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.


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.



Catastrophe Theory


Catastrophe Theory
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Author : Vladimir I. Arnol'd
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Catastrophe Theory written by Vladimir I. Arnol'd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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.



Catastrophe Theory


Catastrophe Theory
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Author : Domencio Castrigiano
language : en
Publisher: CRC Press
Release Date : 2019-06-03

Catastrophe Theory written by Domencio Castrigiano and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-03 with Mathematics categories.


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


An Introduction To Catastrophe Theory
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Author : Peter Timothy Saunders
language : en
Publisher: Cambridge University Press
Release Date : 1980-06-30

An Introduction To Catastrophe Theory written by Peter Timothy Saunders and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-06-30 with Mathematics categories.


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 And Its Applications


Catastrophe Theory And Its Applications
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Author : Tim Poston
language : en
Publisher: Courier Corporation
Release Date : 2014-05-05

Catastrophe Theory And Its Applications written by Tim Poston and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-05 with Mathematics categories.


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.



Catastrophe Theory For Scientists And Engineers


Catastrophe Theory For Scientists And Engineers
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Author : Robert Gilmore
language : en
Publisher: Courier Corporation
Release Date : 1993-01-01

Catastrophe Theory For Scientists And Engineers written by Robert Gilmore and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Technology & Engineering categories.


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
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Author : E. C. Zeeman
language : en
Publisher: Addison Wesley Longman
Release Date : 1977

Catastrophe Theory written by E. C. Zeeman and has been published by Addison Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.


"Catastrophe Theory is a new mathematical method for describing the evolution of forms in nature. It was created by Rene Thom who wrote a revolutionary book Structural Stability and Morphogenesis in 1972, expanding the philosophy behind the ideas. It is particularly applicable where gradually changing forces produce sudden effects. We often call such effects catastrophes, because our intuition about the underlying continuity of the forces makes the very discontinuity of the effects so unexpected, and this has given rise to the name."--Page 1.



Catastrophe Theory


Catastrophe Theory
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Author : Vladimir Igorevich Arnolʹd
language : en
Publisher: Springer
Release Date : 1986

Catastrophe Theory written by Vladimir Igorevich Arnolʹd and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.


From the reviews: "This is a short, critical and nonmathematical review of catastrophe theory which will provide a useful introduction to the subject". Physics Bulletin.



Catastrophe Theory


Catastrophe Theory
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Author : V. I. Arnol'd
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Catastrophe Theory written by V. I. Arnol'd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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 .



Singularity Theory And An Introduction To Catastrophe Theory


Singularity Theory And An Introduction To Catastrophe Theory
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Author : Y.-C. Lu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Singularity Theory And An Introduction To Catastrophe Theory written by Y.-C. Lu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


In April, 1975, I organised a conference at the Battelle Research Center, Seattle, Washington on the theme "Structural stability, catastrophe theory and their applications in the sciences". To this conference were invited a number of mathematicians concerned with the mathematical theories of structural stability and catastrophe theory, and other mathematicians whose principal interest lay in applications to various sciences - physical, biological, medical and social. Rene Thorn and Christopher Zeeman figured in the list of distinguished participants. The conference aroused considerable interest, and many mathematicians who were not specialists in the fields covered by the conference expressed their desire to attend the conference sessions; in addition, scientists from the Battelle laboratories came to Seattle to learn of developments in these areas and to consider possible applications to their own work. In view of the attendance of these mathematicians and scientists, and in order to enable the expositions of the experts to be intelligible to this wider audience, I invited Professor Yung Chen Lu, of Ohio State University, to come to Battelle Seattle in advance of the actual conference to deliver a series of informal lecture-seminars, explaining the background of the mathematical theory and indicating some of the actual and possible applications. In the event, Yung-Chen Lu delivered his lectures in the week preceding and the week following the actual conference, so that the first half of his course was preparatory and the second half explanatory and evaluative. These lecture notes constitute an expanded version of the course.