Catastrophe Theory and Bifurcation (Routledge Revivals)

This classic study explores mathematical models in geography, emphasizing the impact of catastrophe theory and bifurcation on regional science.

Originally published in 1981, Catastrophe Theory and Bifurcation (Routledge Revivals) presents a thorough examination of the implications that mathematical models derived from catastrophe theory and bifurcation hold for the fields of geography and regional science. This reissue revisits Professor Wilson's seminal work, offering insights into how these models can be applied to contemporary scenarios, making it a valuable resource for both scholars and practitioners in the field.

The study highlights the traditional use of mathematical models by geographers and regional scientists to analyze urban and regional systems, where equilibrium points shift gradually in response to slow changes in parameters. However, the introduction of catastrophe theory and bifurcation revolutionized this approach, allowing for the modeling of scenarios where a sudden shift in equilibrium can occur due to minor, gradual changes in certain parameters. This shift in perspective opens new avenues for understanding complex systems and their dynamics.

By surveying various contemporary applications, Catastrophe Theory and Bifurcation (Routledge Revivals) not only emphasizes the importance of these mathematical frameworks but also illustrates their practical relevance. This classic study remains an essential text for those interested in the intersection of mathematics with geographical and regional analysis, offering a comprehensive look at how theoretical concepts can inform real-world applications.