Catastrophe Theory and Bifurcation : Applications to Urban and Regional Systems

ISBN-13: 9780415687966 / Angielski / Miękka / 2012

A. G. Wilson

Opis

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.

Recenzje

‘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

Spis treści

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.