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These original papers on cellular automata and complexity, some of which are widely known in the scientific community, provide a highly readable account of what has become a major new field of science, with important implications for physics, biology, economics, computer science, and many other areas.
Richard J. Gaylord
Cellular automata are computer models of systems consisting of various objects which interact simultaneously with other nearby objects. This book shows how Mathematica can be used to explore cellular automata within natural phenomena such as insect colonies, bird flight paths, and plant growth. Packaged with the book is a diskette which enables cross-platform access to the code.
Martin Treiber, Arne Kesting
This textbook provides a comprehensive and instructive coverage of vehicular traffic flow dynamics and modeling. It makes this fascinating interdisciplinary topic, which to date was only documented in parts by specialized monographs, accessible to a broad readership. Numerous figures and problems with solutions help the reader to quickly understand and practice the presented concepts. This book is targeted at students of physics and traffic engineering and, more generally, also at students and professionals in computer science, mathematics, and interdisciplinary topics. It also offers material for project work in programming and simulation at college and university level. The main part, after presenting different categories of traffic data, is devoted to a mathematical description of the dynamics of traffic flow, covering macroscopic models which describe traffic in terms of density, as well as microscopic many-particle models in which each particle corresponds to a vehicle and its driver. Focus chapters on traffic instabilities and model calibration/validation present these topics in a novel and systematic way. Finally, the theoretical framework is shown at work in selected applications such as traffic-state and travel-time estimation, intelligent transportation systems, traffic operations management, and a detailed physics-based model for fuel consumption and emissions.