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: 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: Vladimir I. Arnol'd
Publisher: Springer Science & Business Media
ISBN: 3642969372
Category : Mathematics
Languages : en
Pages : 120
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Book Description
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: J. Barkley Rosser
Publisher: Springer Science & Business Media
ISBN: 9780792377702
Category : Business & Economics
Languages : en
Pages : 330
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Book Description
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.
Author: Cass R. Sunstein
Publisher: NYU Press
ISBN: 1479808482
Category : Social Science
Languages : en
Pages : 175
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Book Description
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.
Author: Theodor Bröcker
Publisher: Cambridge University Press
ISBN: 0521206812
Category : Mathematics
Languages : en
Pages : 189
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Book Description
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.
Author: Patricia Grossi
Publisher: Springer Science & Business Media
ISBN: 0387231293
Category : Business & Economics
Languages : en
Pages : 256
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Book Description
Based on the research that has been conducted at Wharton Risk Management Center over the past five years on catastrophic risk. Covers a hot topic in the light of recent terroristic activities and nature catastrophes. Develops risk management strategies for reducing and spreading the losses from future disasters. Provides glossary of definitions and terms used throughout the book.
Author: Rene Thom
Publisher: CRC Press
ISBN: 042996157X
Category : Mathematics
Languages : en
Pages : 401
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Book Description
First Published in 2018. It is now some fifteen years since Structural Stability and Morphogenesis was first published in the French edition. The purely mathematical theory of singularities of smooth maps has developed tremendously in that time, however, the main interest of this book lies not in its mathematics, but in the methodological perspective opened up by Catastrophe Theory models.
