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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.
Book Synopsis Catastrophe Theory and Bifurcation (Routledge Revivals) by : Alan Wilson
Download or read book Catastrophe Theory and Bifurcation (Routledge Revivals) written by Alan Wilson and published by Taylor & Francis. This book was released on 2012-11-12 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Catastrophe Theory and Bifurcation by : Alan Wilson
Download or read book Catastrophe Theory and Bifurcation written by Alan Wilson and published by Routledge. This book was released on 2011 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Catastrophe Theory and Bifurcation by : Alan Geoffrey Wilson
Download or read book Catastrophe Theory and Bifurcation written by Alan Geoffrey Wilson and published by Univ of California Press. This book was released on 1981 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Bifurcation Theory and Catastrophe Theory by :
Download or read book Bifurcation Theory and Catastrophe Theory written by and published by . This book was released on 1999 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Catastrophe Theory by : Vladimir I. Arnol'd
Download or read book Catastrophe Theory written by Vladimir I. Arnol'd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Catastrophe Theory for Scientists and Engineers by : Robert Gilmore
Download or read book Catastrophe Theory for Scientists and Engineers written by Robert Gilmore and published by Courier Corporation. This book was released on 1993-01-01 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamical systems. written by and published by . This book was released on 1993 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:
From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ... indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book." Journal de Physique
Book Synopsis Dynamical Systems I by : D.V. Anosov
Download or read book Dynamical Systems I written by D.V. Anosov and published by Springer. This book was released on 1994-06-01 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ... indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book." Journal de Physique
Download or read book Dynamical Systems V written by and published by . This book was released on 1990 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Urban Systems (Routledge Revivals) by : C S Bertuglia
Download or read book Urban Systems (Routledge Revivals) written by C S Bertuglia and published by Routledge. This book was released on 2013-10-18 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
