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" The mathematics of urban morphology / "
Luca D'Acci, editor ; Foreword by Michael Batty.
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BL
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860980
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| Title & Author
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The mathematics of urban morphology /\ Luca D'Acci, editor ; Foreword by Michael Batty.
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| Publication Statement
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Cham, Switzerland :: Birkhäuser,, 2019.
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| Series Statement
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Modeling and simulation in science, engineering and technology,
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1 online resource (xiii, 564 pages) :: illustrations (some color)
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| ISBN
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3030123812
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: 9783030123819
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3030123804
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9783030123802
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| Contents
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Intro; Foreword: The Morphology of Cities; Contents; On Urban Morphology and Mathematics; 1 Morphology, Urban and Mathematics; 2 Urban Morphology; 3 Mathematical Treatment of Urban Forms; 4 Cities Between Hard and Soft Sciences; 5 In Search of Universal Laws: From Calvino to Santa Fe; 6 Complex Self-organizing Systems Urban Approaches; 7 Laplace's Demon in Cities; 8 A Science but not a Science?; 9 The Language of Mathematics; 10 The Art and Science of Cities; Bibliography; Fractals; Fractal Dimension Analysis of Urban Morphology Based on Spatial Correlation Functions; 1 Introduction
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2 Theoretical Models2.1 Basic Postulates; 2.2 Spatial Correlation Functions; 2.3 Fractal Parameter Equations; 2.4 New Analytical Framework for Urban Morphology; 3 Case Study; 3.1 Methodology; 3.2 Study Area, Datasets, and Results; 4 Questions and Discussion; 4.1 Methodological Outline; 4.2 Model Generalization; 5 Conclusions; References; Central Place Theory and the Power Law for Cities; 1 Introduction; 2 Central Place Theory; 2.1 Model and One-Good Equilibrium; 2.2 Hierarchy Equilibrium; 3 Power Law for Cities; 4 A Dynamic Programming Approach to Central Place Theory
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2.2 Street Network Representation2.3 Degree Distribution and Power Law Fitting; 2.4 Related Work; 3 Datasets and Methods; 3.1 Objects of Study; 3.2 Sources of Street Network Data; 3.3 Street Network Model Considerations; 3.4 Methodological Process; 3.5 Software Used in the Process; 4 Results; 4.1 Derived Parameters of Degree Distribution; 4.2 The Evolution of Paris; 4.3 Comparison of Cities; 5 Discussion; 5.1 Organic and Planned Growth Processes; 5.2 The Classification of Cities; 6 Conclusions; References
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4.1 The Sequence Problem4.2 The Dynamic Programming Problem; 4.3 The Central Place Property; 5 Concluding Remarks; References; Distribution of City Size: Gibrat, Pareto, Zipf; 1 Introduction; 2 Methodology and Data; 2.1 Testing for a Power-Law Tail; 2.2 Data Description; 3 Empirical Results; 3.1 Test Results; 3.2 Estimates of the Shape Parameter; 3.3 Emergence of a Power-Law Upon Aggregation; 4 Discussion and Conclusion; References; The Signature of Organic Urban Growth; 1 Introduction; 2 Of Street Networks and Degree Centrality Distributions; 2.1 The Topology of Street Networks
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| Abstract
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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 Batty.
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| Subject
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Cities and towns-- Mathematical models.
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Cities and towns-- Mathematical models.
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Mathematical Modeling and Industrial Mathematics.
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Complex Systems.
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Statistical Physics and Dynamical Systems.
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Urban Geography-- Urbanism (inc. megacities, cities, towns).
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| Dewey Classification
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307.76
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| LC Classification
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HT153
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| Added Entry
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D'Acci, Luca
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