Fractal Cities is the pioneering study of the development and use of fractal geometry for understanding and planning the physical form of cities, showing how this geometry enables cities to be simulated throughcomputer graphics. The book explains how the structure of cities evolve in ways which at first sight may appear irregular, but when understood in terms of fractals reveal a complex and diverse underlying order. The book includes numerous illustrations and 16 pages full-color plates of stunning computer graphics, along with explanations of how to construct them. The authors provide an accessible and thought-provoking introduction to fractal geometry, as well as an exciting visual understanding of the formof cities. This approach, bolstered by new insights into the complexity of social systems, provides one of the best introductions to fractal geometry available for non-mathematicians and social scientists. Fractal Cities is useful as a textbook for courses on geographic information systems, urban geography, regional science, and fractal geometry. Planners and architects will find that many aspects of fractal geometry covered in this book are relevant to their own interests. Those involved in fractals and chaos, computer graphics, and systems theory will also find important methods and examples germane to their work. Michael Batty is Director of the National Center for Geographic Information and analysis in the State University of New York at Buffalo, and has worked in planning theory and urban modeling. Paul Longley is a lecturer in geography at the University of Bristol, and is involved in the development of geographic information systems in urban policy analysis. Richly illustrated, including 16 pages of full-color plates of brilliant computer graphics Provides an introduction to fractal geometry for the non-mathematician and social scientist Explains the influence of fractals on the evolution of the physical form of cities

Michael Batty offers a comprehensive view of urban dynamics in the context of complexity theory, presenting models that demonstrate how complexity theory can embrace a myriad of processes and elements that combine into organic wholes.

This book integrates the theories of complex self-organizing systems with the rich body of discourse and literature developed in what might be called ‘social theory of cities and urbanism’. It uses techniques from dynamical complexity and synergetics to successfully tackle open social science questions.

A proposal for a new way to understand cities and their design not as artifacts but as systems composed of flows and networks. In The New Science of Cities, Michael Batty suggests that to understand cities we must view them not simply as places in space but as systems of networks and flows. To understand space, he argues, we must understand flows, and to understand flows, we must understand networks—the relations between objects that compose the system of the city. Drawing on the complexity sciences, social physics, urban economics, transportation theory, regional science, and urban geography, and building on his own previous work, Batty introduces theories and methods that reveal the deep structure of how cities function. Batty presents the foundations of a new science of cities, defining flows and their networks and introducing tools that can be applied to understanding different aspects of city structure. He examines the size of cities, their internal order, the transport routes that define them, and the locations that fix these networks. He introduces methods of simulation that range from simple stochastic models to bottom-up evolutionary models to aggregate land-use transportation models. Then, using largely the same tools, he presents design and decision-making models that predict interactions and flows in future cities. These networks emphasize a notion with relevance for future research and planning: that design of cities is collective action.

Written by some of the founders of complexity theory and complexity theories of cities (CTC), this Handbook expertly guides the reader through over forty years of intertwined developments: the emergence of general theories of complex self-organized systems and the consequent emergence of CTC.

Guest-edited by Neil Leach What is the impact of digital technologies on the design and analysis of cities? For the last 15 years, the profound impact of computer-aided techniques on architecture has been well charted. From the use of standard drafting packages to the more experimental use of generative design tools and parametric modelling, digital technologies have come to play a major role in architectural production. But how are they helping architects and designers to operate at the urban scale? And how might they be changing the way in which we perceive and understand our cities? Features some of the world’s leading experimental practices, such as Zaha Hadid Architects, R&Sie(n), Biothing and Xefirotarch. Takes in exciting emerging practices, such as moh architects, kokkugia and THEVERYMANY, and work by students at some of the most progressive schools, such as the AA, Dessau Institute of Architecture and RMIT. Contributors include: Michael Batty, Benjamin Bratton, Alain Chiaradia, Manuel DeLanda, Vicente Guallart and Peter Trummer.

What mathematical modeling uncovers about life in the city X and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or movie theaters in a city of a given size? How can mathematics be used to maximize traffic flow through tunnels? Can you predict whether a traffic light will stay green long enough for you to cross the intersection? And what is the likelihood that your city will be hit by an asteroid? Every math problem and equation in this book tells a story and examples are explained throughout in an informal and witty style. The level of mathematics ranges from precalculus through calculus to some differential equations, and any reader with knowledge of elementary calculus will be able to follow the materials with ease. There are also some more challenging problems sprinkled in for the more advanced reader. Filled with interesting and unusual observations about how cities work, X and the City shows how mathematics undergirds and plays an important part in the metropolitan landscape.

This open access book highlights the complexities around making adaptation decisions and building resilience in the face of climate risk. It is based on experiences in sub-Saharan Africa through the Future Climate For Africa (FCFA) applied research programme. It begins by dealing with underlying principles and structures designed to facilitate effective engagement about climate risk, including the robustness of information and the construction of knowledge through co-production. Chapters then move on to explore examples of using climate information to inform adaptation and resilience through early warning, river basin development, urban planning and rural livelihoods based in a variety of contexts. These insights inform new ways to promote action in policy and praxis through the blending of knowledge from multiple disciplines, including climate science that provides understanding of future climate risk and the social science of response through adaptation. The book will be of interest to advanced undergraduate students and postgraduate students, researchers, policy makers and practitioners in geography, environment, international development and related disciplines.

Key Thinkers on Cities provides an engaging introduction to the dynamic intellectual field of urban studies. It profiles the work of 40 innovative thinkers who represent the broad reach of contemporary urban scholarship and whose ideas have shaped the way cities around the world are understood, researched, debated and acted upon. Providing a synoptic overview that spans a wide range of academic and professional disciplines, theoretical perspectives and methodological approaches, the entry for each key thinker comprises: A succinct introduction and overview Intellectual biography and research focus An explication of key ideas Contributions to urban studies The book offers a fresh look at well-known thinkers who have been foundational to urban scholarship, including Jane Jacobs, Henri Lefebvre, Manuel Castells and David Harvey. It also incorporates those who have helped to bring a concern for cities to more widespread audiences, such as Jan Gehl, Mike Davis and Enrique Peñalosa. Notably, the book also includes a range of thinkers who have more recently begun to shape the study of cities through engagements with art, architecture, computer modelling, ethnography, public health, post-colonial theory and more. With an introduction that provides a mapping of the current transdisciplinary field, and individual entries by those currently involved in cutting edge urban research in the Global North and South, this book promises to be an essential text for anyone interested in the study of cities and urban life. It will be of use to those in the fields of anthropology, economics, geography, sociology and urban planning.

Complexity, Cognition and the City aims at a deeper understanding of urbanism, while invoking, on an equal footing, the contributions both the hard and soft sciences have made, and are still making, when grappling with the many issues and facets of regional planning and dynamics. In this work, the author goes beyond merely seeing the city as a self-organized, emerging pattern of some collective interaction between many stylized urban "agents" – he makes the crucial step of attributing cognition to his agents and thus raises, for the first time, the question on how to deal with a complex system composed of many interacting complex agents in clearly defined settings. Accordingly, the author eventually addresses issues of practical relevance for urban planners and decision makers. The book unfolds its message in a largely nontechnical manner, so as to provide a broad interdisciplinary readership with insights, ideas, and other stimuli to encourage further research – with the twofold aim of further pushing back the boundaries of complexity science and emphasizing the all-important interrelation of hard and soft sciences in recognizing the cognitive sciences as another necessary ingredient for meaningful urban studies.