An Introduction to Catastrophe Theory PDF Download
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Author: Peter Timothy Saunders
Publisher: Cambridge University Press
ISBN: 9780521297820
Category : Mathematics
Languages : en
Pages : 162
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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.
Author: Peter Timothy Saunders
Publisher: Cambridge University Press
ISBN: 9780521297820
Category : Mathematics
Languages : en
Pages : 162
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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.
Author: Yung-Chen Lu
Publisher:
ISBN: 9781461299103
Category :
Languages : en
Pages : 199
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Book Description
Author: Peter Timothy Saunders
Publisher:
ISBN:
Category : Catastrophes (Mathematics)
Languages : en
Pages : 144
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Book Description
Author: Robert Gilmore
Publisher: Courier Corporation
ISBN: 9780486675398
Category : Technology & Engineering
Languages : en
Pages : 696
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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.
Author: Courtney Brown
Publisher: SAGE Publications
ISBN: 1506339948
Category : Social Science
Languages : en
Pages : 88
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Book Description
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: Vladimir I. Arnol'd
Publisher: Springer Science & Business Media
ISBN: 3642969372
Category : Mathematics
Languages : en
Pages : 120
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Book Description
Author: S. Niggol Seo
Publisher: John Wiley & Sons
ISBN: 1119416795
Category : Political Science
Languages : en
Pages : 268
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Book Description
A thorough explanation of the mathematical theories, philosophies, and economics of catastrophes with a view to how humanity should be prepared for events with catastrophic consequences This book presents a holistic view of natural and man-made catastrophes, from mathematical theories and philosophy through to economics and policy. It is both academic and applied in its approach, offering both empirical evidence and academic reflections to give a new perspective on an ever-developing topic, and providing many examples of public policy and catastrophe responses from around the world. Natural and Man-made Catastrophes: Theories, Economics, and Policy Designs begins by introducing readers to numerous natural and man-made catastrophes and how catastrophe theories have played a pivotal role in designing policies and responses to them. It discusses hurricanes, earthquakes, nuclear disaster, asteroid collision, Large Hadron Collider, artificial intelligence, uncontrollable robots, global warming, infectious diseases without antibodies, and bioterrorism. It clarifies key mathematical and scientific theories—such as catastrophe theory, chaos, singularity, fractal, tipping point, unbounded variance, fat-tail, and Feigenbaum constant—on catastrophes. The book goes on to examine ancient and contemporary philosophies that have played critical roles in humanity’s understanding of catastrophic outcomes. The book critically builds the economics of catastrophic events 1) by consolidating the catastrophe literature in natural sciences, scientific theories, and philosophy; 2) by constructing global empirical catastrophe data and analytical models using historical data on hurricanes and earthquakes; 3) and by critically reviewing policy experiences on the aforementioned catastrophic events. Lays the foundation for the economic analyses and policy-making on potential humanity/universe threatening catastrophes Includes many examples of public policy and behavioral responses to catastrophes from around the world Provides a wide-ranging commentary on crucial implications of the studies, models, and concepts of catastrophes Synthesizes the catastrophe literature in mathematical theories, philosophical traditions, economic analyses, policy studies, and contemporary concerns. Natural and Man-made Catastrophes: Theories, Economics, and Policy Designs is an important book for students, teachers, professionals, and policy makers who are involved in environmental research and disaster response.
Author: Y.-C. Lu
Publisher: Springer Science & Business Media
ISBN: 1461299098
Category : Mathematics
Languages : en
Pages : 212
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Book Description
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.
Author: Michel Demazure
Publisher: Springer Science & Business Media
ISBN: 3642571344
Category : Mathematics
Languages : en
Pages : 304
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Book Description
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.
Author: Joshua Schuster
Publisher: U of Minnesota Press
ISBN: 1452966583
Category : Philosophy
Languages : en
Pages : 138
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Book Description
What are the implications of how we talk about apocalypse? A new philosophical field has emerged. “Existential risk” studies any real or hypothetical human extinction event in the near or distant future. This movement examines catastrophes ranging from runaway global warming to nuclear warfare to malevolent artificial intelligence, deploying a curious mix of utilitarian ethics, statistical risk analysis, and, controversially, a transhuman advocacy that would aim to supersede almost all extinction scenarios. The proponents of existential risk thinking, led by Oxford philosopher Nick Bostrom, have seen their work gain immense popularity, attracting endorsement from Bill Gates and Elon Musk, millions of dollars, and millions of views. Calamity Theory is the first book to examine the rise of this thinking and its failures to acknowledge the ways some communities and lifeways are more at risk than others and what it implies about human extinction. Forerunners: Ideas First is a thought-in-process series of breakthrough digital publications. Written between fresh ideas and finished books, Forerunners draws on scholarly work initiated in notable blogs, social media, conference plenaries, journal articles, and the synergy of academic exchange. This is gray literature publishing: where intense thinking, change, and speculation take place in scholarship.
