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.

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.

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.

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.

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.

A specialized presentation of fractal analysis oriented to the social sciences This primer uses straightforward language to give the reader step-by-step instructions for identifying and analyzing fractal patterns and the social process that create them. By making fractals accessible to the social science students, this book has a significant impact on the understanding of human behavior. Key Features Detailed examples help readers learn and understand the analytical methods presented. Matlab codes for programs allow users to implement, on their own, some of the techniques described in the text. Visit http://www.ccs.fau.edu/~liebovitch/larry.html for more details. Clear and logical explanations of fractals and their analysis enable the instructor to easily teach and the student to easily learn the material. This is the only book designed to introduce fractal analysis to a general social science audience. Learn more about “The Little Green Book” - QASS Series! Click Here

Space and place are at the heart of how geographers and sociologists think. This updated edition of the essential undergraduate text will introduce you to the most influential thinkers in the tradition of social theory, with a new focus on the past fifty years. This book is designed to engage with theoretical debates in human geography through the individuals who have made the most significant contributions to this field. This will show you how ideas are shaped by contexts, and how those ideas in turn effect change. This book shows how theoretical understandings evolve, shift and change. It also highlights the connections between different thinkers, whose ideas are developed in collaboration with or in reaction to others. Spatial thought is never developed in a vacuum, but is always constructed by individuals and groups of people located in particular institutional and social structures, with their own sets of personal and political beliefs. The biographical approach of this book reveals how individual thinkers draw on a rich legacy of ideas from past and contemporary generations. With increased coverage of international and female thinkers, as well as those who work against Eurocentric notions of space and place, this book reveals the exciting reorientation of Geography towards new ideas and methods in the last decade. Each entry contextualises its subject within on-going (inter)disciplinary debates and important political moments, as well as highlighting connections between different thinkers. Together the chapters uncover the rich and diverse evolution of social theory, equipping you with the foundational ideas of geographical thought. Each entry offers the following components: i) a short biography ii) an explanation of ideas iii) an exploration of how their ideas have been used and critiqued iv) a selective bibliography of key publications (and key publications which review or critique)