Catastrophe Theory And Bifurcation 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.

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.

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.

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.

This edited collection, first published in 1987, provides a comparative analysis of different approaches to urban modelling, and lays the foundations for the possibility of integration and a more unified field. The first part contextualises the development of the field of urban systems modelling, focusing on the variety of approaches and possible implications of this on the future of research and methodology. Next, the editors consider economic and ‘non-economic’ approaches, followed by an analysis of spatial-interaction-based approaches. Providing an overview to the field and research literature, the overarching argument is that there should be an integrated methodological approach to urban system modelling.

Geography and Geographers continues to be the most comprehensive and up-to-date overview of human geography available. It provides a survey of the major debates, key thinkers and schools of thought in the English-speaking world, setting them within the context of economic, social, cultural, political and intellectual changes. It is essential reading for all undergraduate geography students. It draws on a wide reading of the geographical literature and addresses the ways geography and its history are understood and the debates among geographers regarding what the discipline should study and how. This extensively updated seventh edition offers a thoroughly contemporary perspective on human geography for new and more experienced students alike.

This book, first published in 1988, brings together leading researchers from both the retailing business and the academic world to discuss the latest techniques of analysis and forecasting in the fields of store choice, store location, and market analysis. Its rationale is the major restructuring of the UK retailing industry which has taken place over the past twenty years, and the profound implications of that restructuring for the type of research necessary to understand, maintain and enhance corporate responsibility. The contributors present accounts of the development of new and original methods for retail analysis and forecasting purposes. They lay stress upon practical methods which are accurate and robust, and which can operate with the type of data typically available to retailers. The book will provide a major work of reference for retailers, market researchers, retail analysts, estate managers, urban planners and geographers in many countries.