Catastrophe Theory
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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 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 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
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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.
This well-known booklet, now in its third, expanded edition, provides an informal survey of applications of singularity theory in a wide range of areas. Although the first few chapters touch briefly (and critically) on theThom-Zeeman catastrophe theory, most of the book is concerned with more recent and less controversial aspects, covering such topics as: bifurcations and stability loss, wavefront propagation, the distribution of matter in the universe, optimization and control problems, visible contours,bypassing an obstacle, symplectic and contact geometry, complex singularities, and the surprising connections between singularities and widely disparate mathematical objects such as regular polyhedra and reflection groups. Readers familiar with the previous editions will find much that is new. Results have been brought up to date, and among the new or expanded topics discussed are delayed loss of stability, cascades of period doublings and triplings, shock waves, implicit differential equationsand folded singularities, interior scattering, and more. Three new sections give an overview of the history of singularity theory and its applications from Leonardo da Vinci to modern times, a discussion of perestroika in terms of the theory of metamorphoses, and a list of 93 problems touching on most of the subject matter in the book. The text is enhanced by fifteen new drawings (there are now 87 in all) and improvements to old ones. The already extensive literature list has been updated and expanded. As a result, the book has been enlarged by almost a third. Arnol'd's goal with this edition remains the same: to explain the essence of the results and applications to readers having a minimal mathematical background. All that he asks, is that the reader have an inquiring mind.
Catastrophe Theoretic Semantics
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Author : Wolfgang Wildgen
language : en
Publisher: John Benjamins Publishing
Release Date : 1982-01-01
Catastrophe Theoretic Semantics written by Wolfgang Wildgen and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Language Arts & Disciplines categories.
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.
Dynamical Systems V
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Author : V.I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Dynamical Systems V written by V.I. Arnold 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 2013-12-01 with Mathematics categories.
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.
Catastrophe Theory
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Author : Alexander Woodcock
language : en
Publisher:
Release Date : 1991
Catastrophe Theory written by Alexander Woodcock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Catastrophes (Mathematics) categories.
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
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Author : A. Okninski
language : en
Publisher: Elsevier
Release Date : 1992-06-12
Catastrophe Theory written by A. Okninski and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-12 with Science categories.
This book aims to provide a straightforward introduction to chemical applications of the catastrophe theory. It is primarily intended for chemists interested in placing chemical reactions in the broader context of non-linear science, but it has a practical relevance for scientists in general. Catastrophe theory deals with those non-linear phenomena in which a continuous change in the control parameters results in a discontinuous alteration of a characteristic quantity of the system. The author discusses the origins of catastrophe theory, giving examples of occurrences in the areas of physics, chemistry and biology. Elementary theory and non-chemical applications are also described. The chemical kinetics and methods of analysis of chemical kinetic equations arising from elementary and generalized catastrophe theories are reviewed. Finally, the theory is applied to analyse and classify phenomena associated with the stability loss that may occur in chemical reactions. The book contains over 100 figures and an extensive subject index.
Bifurcations And Catastrophes
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Author : Michel Demazure
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-12-15
Bifurcations And Catastrophes written by Michel Demazure 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 1999-12-15 with Mathematics categories.
Based on a lecture course, this text gives a rigorous introduction to nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach allowing a clear focus on the essential mathematical structures. It brings out features common to different branches of the subject while giving ample references for more advanced or technical developments.