Description
Book SynopsisThis book is a comprehensive introduction to quantitative approaches to complex adaptive systems. Practically all areas of life on this planet are constantly confronted with complex systems, be it ecosystems, societies, traffic, financial markets, opinion formation and spreading, or the internet and social media. Complex systems are systems composed of many elements that interact strongly with each other, which makes them extremely rich dynamical systems showing a huge range of phenomena. Properties of complex systems that are of particular importance are their efficiency, robustness, resilience, and proneness to collapse.The quantitative tools and concepts needed to understand the co-evolutionary nature of networked systems and their properties are challenging. The book gives a self-contained introduction to these concepts, so that the reader will be equipped with a toolset that allows them to engage in the science of complex systems. Topics covered include random processes of path-de
Trade ReviewWell written and structured * Ejay Nsugbe, Mathematics Today *
The authors make an excellent job in describing their introduction to Complex Systems theory . . . The book is certainly an excellent start for students (who can find also a series of exercises in every chapter and for practioners). For scientists it is a useful handbook to find whatever needed to start their journey in Complexity Science. * Guido Caldarelli, IMT Alti Studi Lucca, Mathematics Magazine *
It seems to me that the authors have succeeded admirably in their aims and that, by helping to train and enthuse the next generation of researchers on complex systems, their book will contribute substantially towards overcoming any possible bottleneck that is impeding further progress. * Peter V. E. McClintock, Department of Physics, Lancaster University, Contemporary Physics *
This book is a comprehensive introduction to quantitative approaches to complex adaptive systems, starting from basic principles. It also equips the reader with a basic self-contained toolkit for engaging in complex systems science. It extends earlier classical literature in the field to summarize in a clear, structured, and comprehensive way the methodological progress made in complex systems science over the past 20 years. * Mathematical Reviews Clippings *
This book will surely become a standard text for anyone who wants to seriously understand complexity no matter what their background or stage of career. It is written from a physicists perspective, stressing mechanism, underlying principles and mathematical rigour, yet is eminently readable and pedagogical. * Geoffrey West, Santa Fe Institute *
Complexity until now has been lacking a strong theoretical underpinning. Now it has one. This book is a tour de force. Excellent! * W. Brian Arthur, Santa Fe Institute *
Table of Contents1: Introduction to complex systems 2: Probability and random processes 3: Scaling 4: Networks 5: Evolutionary processes 6: Statistical mechanics & information theory for complex systems 7: The future of the science of complex systems? 8: Special functions and approximations
