Mathematical Analysis of Evolution, Information, and Complexity 1st Edition by Wolfgang Arendt (PDF)

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Mathematical Analysis of Evolution, Information, and Complexity deals with the analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science, this text covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology. Bringing together a wide collection of research in mathematics, information theory, physics and other scientific and technical areas, this new title offers elementary and thus easily accessible introductions to the various fields of research addressed in the book.

User’s Reviews

Editorial Reviews: From the Inside Flap The present book is devoted to the mathematical analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science and covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology. Analysis of information is needed in data compression, channel encoding, cryptography and often in the analysis of information processing in the computer or in the brain. Finally, the topic of analysis of complexity is important for theoretical informatics, in particular algorithms, but more generally for the investigation of complex and chaotic systems. Edited by internationally recognized authorities in their respective areas of research, 17 interdisciplinary teams have written elementary and thus easily accessible introductions to these timely topics. From the Back Cover The present book is devoted to the mathematical analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science and covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology. Analysis of information is needed in data compression, channel encoding, cryptography and often in the analysis of information processing in the computer or in the brain. Finally, the topic of analysis of complexity is important for theoretical informatics, in particular algorithms, but more generally for the investigation of complex and chaotic systems. Edited by internationally recognized authorities in their respective areas of research, 17 interdisciplinary teams have written elementary and thus easily accessible introductions to these timely topics. About the Author Wolfgang Arendt is head of the Institute of Applied Analysis at the University of Ulm, Germany. Having obtained his degrees from the University of Nice, France, and Tuebingen, Germany, he worked for eight years as a professor at the University of Besançon in France before accepting a chair at the University of Ulm in Germany. He held visiting positions at the University of California at Berkeley, and the universities of Nancy, Oxford, Zuerich, Canberra, Sydney and Lecce. Professor Arendt’s fields of research are partial differential equations and functional analysis with special emphasis on evolution equations. Wolfgang P. Schleich is head of the Institute of Quantum Physics at the University of Ulm, Germany, and Distinguished Adjunct Professor at the University of North Texas in Denton, USA. He has published more than 250 papers on problems of quantum optics, foundations of quantum mechanics and general relativity and is the author of the highly acclaimed textbook Quantum Optics in Phase Space, published with Wiley-VCH. For his work he has received numerous awards and honours. Read more

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