Overview
- Provides a much-needed mathematical perspective to the study of urban morphology
- Equips researchers interested in urbanism with quantitative tools
- Offers a broader perspective on the field by including multidisciplinary commentaries
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (31 chapters)
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Front Matter
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Fractals
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Front Matter
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Keywords
About this book
The chapters cover a wide variety of topics in urban morphology, and are conveniently organized by their mathematical principles. The first part covers fractals and focuses on how self-similar structures sort themselves out through competition. This is followed by a section on cellular automata, and includes chapters exploring how they generate fractal forms. Networks are the focus of the third part, which includes street networks and other forms as well. Chapters that examine complexity and its relation to urban structures are in part four.The fifth part introduces a variety of other quantitative models that can be used to study urban morphology. In the book’s final section, a series of multidisciplinary commentaries offers readers new ways of looking at the relationship between mathematics and urban forms.
Being the first book on this topic, Mathematics of Urban Morphology will be an invaluable resource for applied mathematicians and anyone studying urban morphology. Additionally, anyone who is interested in cities from the angle of economics, sociology, architecture, or geography will also find it useful.
"This book provides a useful perspective on the state of the art with respect to urban morphology in general and mathematics as tools and frames to disentangle the ideas that pervade arguments about form and function in particular. There is much to absorb in the pages that follow and thereare many pointers to ways in which these ideas can be linked to related theories of cities, urban design and urban policy analysis as well as new movements such as the role of computation in cities and the idea of the smart city. Much food for thought. Read on, digest, enjoy." From the foreword by Michael Batty
Reviews
“This monograph gives a comprehensive and contemporary overview of many recent advances on random walks over comb-like structures. … This monograph is written in an explanatory and concise manner with plenty of concrete examples rather than a formal definition-theorem-proof textbook form. Nevertheless, necessary elements and preliminaries are presented to the reader and the results covered here reflect the state-of-the-art of the research on comb structures.” (Yilun Shang, zbMATH 1410.91008, 2019)
Editors and Affiliations
Bibliographic Information
Book Title: The Mathematics of Urban Morphology
Editors: Luca D'Acci
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-3-030-12381-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-12380-2Published: 02 April 2019
Softcover ISBN: 978-3-030-12383-3Published: 09 May 2020
eBook ISBN: 978-3-030-12381-9Published: 23 March 2019
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XIII, 564
Number of Illustrations: 55 b/w illustrations, 101 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Complex Systems, Urban Geography / Urbanism (inc. megacities, cities, towns), Statistical Physics and Dynamical Systems