The intent of the present monograph is to lay down the theoretical foundations for studying the topology of compact urban patterns, using methods from spectral graph theory and statistical physics. These methods are demonstrated as tools to investigate the structure of a number of real cities with widely differing properties: medieval German cities, the webs of city canals in Amsterdam and Venice, and a modern urban structure such as found in Manhattan.
Last but not least, the book concludes by providing a brief overview of possible applications that will eventually lead to a useful body of knowledge for architects, urban planners and civil engineers.
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"Focuses particularly on the applied aspects of complexity sciences, including the social, economic, behavioural and cognitive. ... the results of each technique are clearly explained ... and it would be possible to read the book for the relevance and impact of each method without getting stuck on the details of the formulae. ... appear primarily to address an existing community of complexity scientists, graph theorists, and statistical physicists. In this, it does an excellent job ... providing a valuable domain of application for this community." (Sean Hanna, The Journal of Space Syntax, Vol. 2 (1), 2011)