D'Acci L. (Ed.). The Mathematics Urban Morphology

Springer, 2019. — 556 p. — (Modeling and Simulation in Science, Engineering and Technology). — ISBN: 978-3-030-12380-2.This edited volume provides an essential resource for urban morphology, the study of urban forms and structures, offering a much-needed mathematical perspective. Experts on a variety of mathematical modeling techniques provide new insights into specific aspects of the field, such as street networks, sustainability, and urban growth. The chapters collected here make a clear case for the importance of tools and methods to understand, model, and simulate the formation and evolution of cities.
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 there are 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 BattyOn Urban Morphology and Mathematics
Fractal Dimension Analysis of Urban Morphology Based on Spatial Correlation Functions
Central Place Theory and the Power Law for Cities
Distribution of City Size: Gibrat, Pareto, Zipf
The Signature of Organic Urban Growth
A Fractal Approach to Explore Australian Urban Form and Its Impacting Factors at Neighbourhood Scale
Geographic Cellular Automata for Realistic Urban form Simulations: How Far Should the Constraint be Contained?
Mathematical Foundations of Cellular Automata and Complexity Theory
Assessing Complexity of Urban Spatial Networks
Space Syntax: A Network-Based Configurational Approach to Studying Urban Morphology
Applied Mathematics on Urban Space
The Morphology and Circuity of Walkable and Drivable Street Networks
Emergence of Complexity in Urban Morphology
On the Complex Interaction Between Mathematics and Urban Morphology
A Topological Representation for Taking Cities as a Coherent Whole
A Multiscale Clustering of the Urban Morphology for Use in Quantitative Models
An Urban Morphogenesis Model Capturing Interactions Between Networks and Territories
Continuum Percolation and Spatial Point Pattern in Application to Urban Morphology
Urban Compactness: New Geometric Interpretations and Indicators
Using Google Street View for Street-Level Urban Form Analysis, a Case Study in Cambridge, Massachusetts
Examining Spatial Structure Using Gravity Models
Urban Morphogenesis: Putting Mathematics in Its Place
Not Only … But Also: Urban Mathematical Models and Urban Social Theory
Urban Morphology or Townscape? Wholes Made of Many Parts
Extending Urban Morphology: Drawing Together Quantitative and Qualitative Approaches
Mathematics and Cities: A Long-Standing Relationship Fit for the Future?
Mathematics and/as Humanities–Linking Humanistic Historical to Quantitative Approaches
Urban Forms, Agents, and Processes of Change
Future of Streets
Understanding and Quantifying Urban Density Toward more Sustainable City Form
To Not Talk Past Each Other: An Immodest Proposal for Cross-Conceptual Research in Urban Morphology