An Introduction to Catastrophe Theory

An Introduction to Catastrophe Theory

Author: Peter Timothy Saunders

Publisher: Cambridge University Press

Published: 1980-06-30

Total Pages: 162

ISBN-13: 9780521297820

DOWNLOAD EBOOK

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

Catastrophe Theory for Scientists and Engineers

Author: Robert Gilmore

Publisher: Courier Corporation

Published: 1993-01-01

Total Pages: 696

ISBN-13: 9780486675398

DOWNLOAD EBOOK

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

Author: Vladimir I. Arnol'd

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 120

ISBN-13: 3642969372

DOWNLOAD EBOOK


Singularity Theory and an Introduction to Catastrophe Theory

Singularity Theory and an Introduction to Catastrophe Theory

Author: Y.-C. Lu

Publisher: Springer

Published: 1976

Total Pages: 218

ISBN-13:

DOWNLOAD EBOOK

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


Natural and Man-Made Catastrophes

Natural and Man-Made Catastrophes

Author: S. Niggol Seo

Publisher: John Wiley & Sons

Published: 2019-01-14

Total Pages: 268

ISBN-13: 1119416795

DOWNLOAD EBOOK

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.


Bifurcations and Catastrophes

Bifurcations and Catastrophes

Author: Michel Demazure

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 304

ISBN-13: 3642571344

DOWNLOAD EBOOK

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.


Differentiable Germs and Catastrophes

Differentiable Germs and Catastrophes

Author: Theodor Bröcker

Publisher: Cambridge University Press

Published: 1975-07-17

Total Pages: 189

ISBN-13: 0521206812

DOWNLOAD EBOOK

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.


The Financing of Catastrophe Risk

The Financing of Catastrophe Risk

Author: Kenneth A. Froot

Publisher: University of Chicago Press

Published: 2007-12-01

Total Pages: 490

ISBN-13: 0226266257

DOWNLOAD EBOOK

Is it possible that the insurance and reinsurance industries cannot handle a major catastrophe? Ten years ago, the notion that the overall cost of a single catastrophic event might exceed $10 billion was unthinkable. With ever increasing property-casualty risks and unabated growth in hazard-prone areas, insurers and reinsurers now envision the possibility of disaster losses of $50 to $100 billion in the United States. Against this backdrop, the capitalization of the insurance and reinsurance industries has become a crucial concern. While it remains unlikely that a single event might entirely bankrupt these industries, a big catastrophe could place firms under severe stress, jeopardizing both policy holders and investors and causing profound ripple effects throughout the U.S. economy. The Financing of Catastrophe Risk assembles an impressive roster of experts from academia and industry to explore the disturbing yet realistic assumption that a large catastrophic event is inevitable. The essays offer tangible means of both reassessing and raising the level of preparedness throughout the insurance and reinsurance industries.


From Catastrophe to Chaos: A General Theory of Economic Discontinuities

From Catastrophe to Chaos: A General Theory of Economic Discontinuities

Author: J. Barkley Rosser

Publisher: Springer Science & Business Media

Published: 2000-06-30

Total Pages: 330

ISBN-13: 9780792377702

DOWNLOAD EBOOK

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.