# catastrophe theory and its applications

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## Catastrophe Theory And Its Applications

**Author :**Tim Poston

**ISBN :**9780486143781

**Genre :**Mathematics

**File Size :**33. 42 MB

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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 And Its Applications

**Author :**T. Poston

**ISBN :**UOM:39015023843546

**Genre :**Mathematics

**File Size :**71. 1 MB

**Format :**PDF, Kindle

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## Catastrophe Theory For Scientists And Engineers

**Author :**Robert Gilmore

**ISBN :**0486675394

**Genre :**Technology & Engineering

**File Size :**46. 22 MB

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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.

## An Exposition Of Catastrophe Theory And Its Applications To Phase Transitions

**Author :**D. O'Shea

**ISBN :**OCLC:1080839478

**Genre :**Catastrophe theory

**File Size :**24. 87 MB

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## Catastrophe Theory

**Author :**Vladimir I. Arnol'd

**ISBN :**9783642581243

**Genre :**Mathematics

**File Size :**44. 4 MB

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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 And Applications

**Author :**Dilip Kumar Sinha

**ISBN :**UOM:39015049074464

**Genre :**Mathematics

**File Size :**30. 4 MB

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Papers on a mathematical method to describe evolution of forms in nature, presented to a seminar, Jadavpur University, Calcutta, 1979.

## Catastrophe Theory And Bifurcation

**Author :**Alan Geoffrey Wilson

**ISBN :**0709927029

**Genre :**Bifurcation theory

**File Size :**50. 43 MB

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Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems. However, this all changed with the advent of catastrophe theory and bifurcation. This study outlines the implications of these mathematical models for geography and regional science.

## Catastrophe Theory And Bifurcation Routledge Revivals

**Author :**Alan Wilson

**ISBN :**9781136599811

**Genre :**Social Science

**File Size :**27. 1 MB

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Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems, via a system where the equilibrium point changes slowly and smoothly as the parameters change slowly and smoothly. However, this all changed with the advent of catastrophe theory and bifurcation, which enabled the development of models where a quite sudden change in the position of the equilibrium point results from a slow, small, smooth change in one or more parameters. First published in 1981, this reissue of Professor Wilson’s classic study outlines the implications of these mathematical models for geography and regional science, by way of a survey of contemporary applications.

## An Introduction To Catastrophe Theory

**Author :**Peter Timothy Saunders

**ISBN :**0521297826

**Genre :**Mathematics

**File Size :**74. 72 MB

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Almost every scientist has heard of catastrophe theory and knows that there has been a considerable amount of controversy surrounding it. Yet comparatively few know anything more about it than they may have read in an article written for the general public. The aim of this book is to make it possible for anyone with a comparatively modest background in mathematics - no more than is usually included in a first year university course for students not specialising in the subject - to understand the theory well enough to follow the arguments in papers in which it is used and, if the occasion arises, to use it. Over half the book is devoted to applications, partly because it is not possible yet for the mathematician applying catastrophe theory to separate the analysis from the original problem. Most of these examples are drawn from the biological sciences, partly because they are more easily understandable and partly because they give a better illustration of the distinctive nature of catastrophe theory. This controversial and intriguing book will find applications as a text and guide to theoretical biologists, and scientists generally who wish to learn more of a novel theory.

## Catastrophe Theory

**Author :**Domencio Castrigiano

**ISBN :**9780429970351

**Genre :**Mathematics

**File Size :**77. 36 MB

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Catastrophe Theory was introduced in the 1960s by the renowned Fields Medal mathematician René Thom as a part of the general theory of local singularities. Since then it has found applications across many areas, including biology, economics, and chemical kinetics. By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved to