Download or read book Catastrophe Theory for Scientists and Engineers written by Robert Gilmore and published by Courier Corporation. This book was released on 1993-01-01 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Catastrophe Theory written by Domencio Castrigiano and published by CRC Press. This book was released on 2019-06-03 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Catastrophe Theory written by Vladimir I. Arnol'd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Catastrophe Theory written by Peter Timothy Saunders and published by Cambridge University Press. This book was released on 1980-06-30 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Chaos and Catastrophe Theories written by Courtney Brown and published by SAGE Publications. This book was released on 1995-06-28 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Singularity Theory and an Introduction to Catastrophe Theory written by Yung-Chen Lu and published by . This book was released on 1980 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book From Catastrophe to Chaos A General Theory of Economic Discontinuities written by J. Barkley Rosser and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Catastrophe to Chaos: A General Theory of Economic Discontinuities presents and unusual perspective on economics and economic analysis. Current economic theory largely depends upon assuming that the world is fundamentally continuous. However, an increasing amount of economic research has been done using approaches that allow for discontinuities such as catastrophe theory, chaos theory, synergetics, and fractal geometry. The spread of such approaches across a variety of disciplines of thought has constituted a virtual intellectual revolution in recent years. This book reviews the applications of these approaches in various subdisciplines of economics and draws upon past economic thinkers to develop an integrated view of economics as a whole from the perspective of inherent discontinuity.
Download or read book Catastrophe Theoretic Semantics written by Wolfgang Wildgen and published by John Benjamins Publishing. This book was released on 1982-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Catastrophe Theory written by Alexander Woodcock and published by . This book was released on 1991 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamical Systems V written by V.I. Arnold and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Synergetics written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains most of the invited papers presented at the International Work shop on Synergetics, Schloss E1mau, Bavaria, May 2 to.May 7, 1977. This workshop fol lowed an International Symposium on SynergetiGS at Schloss E1mau, 1972, and an Inter national SUl11l1erschoo1 at Erice, Sicily, 1974. Synergetics is a rather new field of interdisciplinary research which studies the self-organized behavior of systems leading to the formation of structures and func tionings. Indeed the whole universe seems to be organized, with pronounced structures starting from spiral galaxies down to living cells. Furthermore, very many of the most interesting phenomena occur in systems which are far from thermal equilibrium. Synergetics in its present form focusses its attention on those phenomena where dra matic changes occur on a macroscopic scale. Here indeed Synergetics was able to re veal profound analogies between systems in different disciplines ranging from physics to sociology. This volume contains contributions from various fields but the reader will easily discover their cOl11J1on goal. Not only in the natural sciences but also in ecology, sociology, and economy, man is confronted with the problems of complex sys tems. The principles and analogies unearthed by Synergetics will certainly be very he1pfu~ to cope with such difficult problems. I use this opportunity to thank the Vo1kswagenwerk Foundation for its support of the project Synergetics and in particular for sponsoring the International Workshop on Synergetics.
Download or read book From Catastrophe to Chaos A General Theory of Economic Discontinuities written by J. Barkley Rosser and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Now, however, weface an Age of Discontinuity in world economy and tech nology. We might succeed in making it an age of great economic growth as weil. But the one thing that is certain so far is that it will be a period of change-in technology and in economic policy, in industry structures and in economic theo ry, in the knowledge needed to govern and manage, and in economic issues. While we have been busy finishing the great nineteenth-century economic ed ijice, the foundations have shifted beneath our feet." Peter F. Drucker, 1968 The A~e Qf DiscQntinuity, p. 10 This project has had a lQng gestatiQn period, probably ultimately dating to a YQuthful QbsessiQn with watershed divides and bQundaries. My awareness Qf the problem Qf discQntinuity in eCQnQmics dates tQ my first enCQunter with the capi tal theQry paradQxes in the late 1960s, the fruits Qf which can be seen in Chapter 8 Qf this book. This awareness led tQ a frostratiQn Qver the apparent lack Qf a mathematics Qf discQntinuity, a lack that was in the process of rapidly being QverCQme at that time.
Download or read book Averting Catastrophe written by Cass R. Sunstein and published by NYU Press. This book was released on 2021-04-27 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Best-selling author Cass R. Sunstein examines how to avoid worst-case scenarios The world is increasingly confronted with new challenges related to climate change, globalization, disease, and technology. Governments are faced with having to decide how much risk is worth taking, how much destruction and death can be tolerated, and how much money should be invested in the hopes of avoiding catastrophe. Lacking full information, should decision-makers focus on avoiding the most catastrophic outcomes? When should extreme measures be taken to prevent as much destruction as possible? Averting Catastrophe explores how governments ought to make decisions in times of imminent disaster. Cass R. Sunstein argues that using the “maximin rule,” which calls for choosing the approach that eliminates the worst of the worst-case scenarios, may be necessary when public officials lack important information, and when the worst-case scenario is too disastrous to contemplate. He underscores this argument by emphasizing the reality of “Knightian uncertainty,” found in circumstances in which it is not possible to assign probabilities to various outcomes. Sunstein brings foundational issues in decision theory in close contact with real problems in regulation, law, and daily life, and considers other potential future risks. At once an approachable introduction to decision-theory and a provocative argument for how governments ought to handle risk, Averting Catastrophe offers a definitive path forward in a world rife with uncertainty.
Download or read book From Communism to Capitalism written by Michel Henry and published by A&C Black. This book was released on 2014-08-14 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michel Henry uses the fall of communist regimes to reflect on the place of the individual in the late capitalist moment.
Download or read book Bifurcations and Catastrophes written by Michel Demazure and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Catastrophe Theory written by Alexander Edward Richard Woodcock and published by Dutton Adult. This book was released on 1978 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Huygens and Barrow Newton and Hooke written by Vladimir I. Arnold and published by Birkhäuser. This book was released on 2012-12-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.
