Catastrophe Theory and Bifurcation (Routledge Revivals): Applications to Urban and Regional Systems

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Alan Wilson (University College London, UK University College London, UK)

Catastrophe Theory and Bifurcation (Routledge Revivals)

Applications to Urban and Regional Systems

Alan Wilson (University College London, UK University College London, UK)

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English

Routledge
22 October 2012

Analytic topology; Mathematical modelling; Human geography; Regional geography

Series: Routledge Revivals

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.

By: Alan Wilson (University College London UK University College London UK)
Imprint: Routledge
Country of Publication: United Kingdom
Dimensions: Height: 198mm, Width: 129mm,
Weight: 362g
ISBN: 9780415687966
ISBN 10: 0415687969
Series: Routledge Revivals
Pages: 354
Publication Date: 22 October 2012
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

1. A Lay guide to the Mathematics of Catastrophe Theory 2. Differential Equations and Bifurcation Theory 3. Applications of Dynamical Systems Theory: A Survey of Approaches 4. Macro-Scale Applications 5. Bifurcation at the Meso-Scale I: Comparative Statistics of Urban Spatial Structure 6. Bifurcation at the Meso-Scale II: The Dynamics of Urban Spatial Structure 7. Micro-Scale Applications 8. Applications in Other Disciplines and Some New Results for Urban Systems.

Alan Wilson

Reviews for Catastrophe Theory and Bifurcation (Routledge Revivals): Applications to Urban and Regional Systems

'An excellent book ... His exposition treads the fine line with great care and honesty, telling the reader exactly where imaginative and provocative speculation begin, where well-thought-out recasting of previous ideas are solidly based. A major strength is the way Wilson has integrated text and diagram - even a reader without much mathematical background will be able to see the ideas.' - Peter R. Gould