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An Introduction to Catastrophe Theory by Peter Timothy Saunders Pdf
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 by Robert Gilmore Pdf
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.
Singularity Theory and an Introduction to Catastrophe Theory by Y.-C. Lu Pdf
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 YungƯ 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
Chaos and Catastrophe Theories by Courtney Brown Pdf
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.
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.
Bifurcations and Catastrophes by Michel Demazure Pdf
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 : S. Niggol Seo Publisher : John Wiley & Sons Page : 268 pages File Size : 53,7 Mb Release : 2019-01-14 Category : Political Science ISBN : 9781119416791
Natural and Man-Made Catastrophes by S. Niggol Seo Pdf
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.
Politics of Catastrophe by Claudia Aradau,Rens Van Munster Pdf
This book argues that catastrophe is a particular way of governing future events – such as terrorism, climate change or pandemics – which we cannot predict but which may strike suddenly, without warning, and cause irreversible damage. At a time where catastrophe increasingly functions as a signifier of our future, imaginaries of pending doom have fostered new modes of anticipatory knowledge and redeployed existing ones. Although it shares many similarities with crises, disasters, risks and other disruptive incidents, this book claims that catastrophes also bring out the very limits of knowledge and management. The politics of catastrophe is turned towards an unknown future, which must be imagined and inhabited in order to be made palpable, knowable and actionable. Politics of Catastrophe critically assesses the effects of these new practices of knowing and governing catastrophes to come and challenges the reader to think about the possibility of an alternative politics of catastrophe. This book will be of interest to students of critical security studies, risk theory, political theory and International Relations in general.
Singularity Theory and an Introduction to Catastrophe Theory by Y.-C. Lu Pdf
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.
Differentiable Germs and Catastrophes by Theodor Bröcker,L. Lander Pdf
This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.
Natural Catastrophe Risk Management and Modelling by Kirsten Mitchell-Wallace,Matthew Jones,John Hillier,Matthew Foote Pdf
This book covers both the practical and theoretical aspects of catastrophe modelling for insurance industry practitioners and public policymakers. Written by authors with both academic and industry experience it also functions as an excellent graduate-level text and overview of the field. Ours is a time of unprecedented levels of risk from both natural and anthropogenic sources. Fortunately, it is also an era of relatively inexpensive technologies for use in assessing those risks. The demand from both commercial and public interests—including (re)insurers, NGOs, global disaster management agencies, and local authorities—for sophisticated catastrophe risk assessment tools has never been greater, and contemporary catastrophe modelling satisfies that demand. Combining the latest research with detailed coverage of state-of-the-art catastrophe modelling techniques and technologies, this book delivers the knowledge needed to use, interpret, and build catastrophe models, and provides greater insight into catastrophe modelling’s enormous potential and possible limitations. The first book containing the detailed, practical knowledge needed to support practitioners as effective catastrophe risk modellers and managers Includes hazard, vulnerability and financial material to provide the only independent, comprehensive overview of the subject, accessible to students and practitioners alike Demonstrates the relevance of catastrophe models within a practical, decision-making framework and illustrates their many applications Includes contributions from many of the top names in the field, globally, from industry, academia, and government Natural Catastrophe Risk Management and Modelling: A Practitioner’s Guide is an important working resource for catastrophe modelling analysts and developers, actuaries, underwriters, and those working in compliance or regulatory functions related to catastrophe risk. It is also valuable for scientists and engineers seeking to gain greater insight into catastrophe risk management and its applications.
