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Catastrophe Theory for Scientists and Engineers

Catastrophe Theory for Scientists and Engineers
Author: Robert Gilmore
Publisher: Courier Corporation
Total Pages: 696
Release: 1993-01-01
Genre: Technology & Engineering
ISBN: 9780486675398

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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

Catastrophe Theory and Its Applications
Author: Tim Poston
Publisher: Courier Corporation
Total Pages: 514
Release: 2014-05-05
Genre: Mathematics
ISBN: 0486143783

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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

Catastrophe Theory
Author: Vladimir I. Arnol'd
Publisher: Springer Science & Business Media
Total Pages: 161
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642581242

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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.


Catastrophe Theory

Catastrophe Theory
Author: Michael Alexander Linnolt
Publisher:
Total Pages: 72
Release: 1978
Genre: Catastrophes (Mathematics)
ISBN:

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Megadisasters

Megadisasters
Author: Florin Diacu
Publisher: Princeton University Press
Total Pages: 214
Release: 2010
Genre: Business & Economics
ISBN: 0691133506

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The history and science behind efforts to predict major disasters, from tsunamis to stock market crashes Can we predict cataclysmic disasters such as earthquakes, volcanic eruptions, or stock market crashes? The Indian Ocean tsunami of 2004 claimed more than 200,000 lives. Hurricane Katrina killed over 1,800 people and devastated the city of New Orleans. The recent global financial crisis has cost corporations and ordinary people around the world billions of dollars. Megadisasters is a book that asks why catastrophes such as these catch us by surprise, and reveals the history and groundbreaking science behind efforts to forecast major disasters and minimize their destruction. Each chapter of this exciting and eye-opening book explores a particular type of cataclysmic event and the research surrounding it, including earthquakes, tsunamis, volcanic eruptions, hurricanes, rapid climate change, collisions with asteroids or comets, pandemics, and financial crashes. Florin Diacu tells the harrowing true stories of people impacted by these terrible events, and of the scientists racing against time to predict when the next big disaster will strike. He describes the mathematical models that are so critical to understanding the laws of nature and foretelling potentially lethal phenomena, the history of modeling and its prospects for success in the future, and the enormous challenges to scientific prediction posed by the chaos phenomenon, which is the high instability that underlies many processes around us. Yielding new insights into the perils that can touch every one of us, Megadisasters shows how the science of predicting disasters holds the promise of a safer and brighter tomorrow.


An Introduction to Catastrophe Theory

An Introduction to Catastrophe Theory
Author: Peter Timothy Saunders
Publisher: Cambridge University Press
Total Pages: 162
Release: 1980-06-30
Genre: Mathematics
ISBN: 9780521297820

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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

Catastrophe Theory
Author: A. Okninski
Publisher: Elsevier
Total Pages: 303
Release: 1992-06-12
Genre: Science
ISBN: 0080868274

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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.


Crashes, Crises, and Calamities

Crashes, Crises, and Calamities
Author: Len Fisher
Publisher: Basic Books
Total Pages: 258
Release: 2011-03-29
Genre: Science
ISBN: 0465023355

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Why do certain civilizations, societies, and ecosystems collapse? How does the domino effect relate to the credit crunch? When can mathematics help explain marriage? And how on earth do toads predict earthquakes? The future is uncertain. But science can help foretell what lies ahead. Drawing on ecology and biology, math and physics, Crashes, Crises, and Calamities offers four fundamental tools that scientists and engineers use to forecast the likelihood of sudden change: stability, catastrophe, complexity, and game theories. In accessible prose, Len Fisher demonstrates how we can foresee and manage events that might otherwise catch us by surprise. At the cutting edge of science, Fisher helps us find ways to act before a full-fledged catastrophe is upon us. Crashes, Crises, and Calamities is a witty and informative exploration of the chaos, complexity, and patterns of our daily lives.