Introduction to the Theory of Complex Systems

Introduction to the Theory of Complex Systems

 
Publisher: OUP Oxford
Date of Publication:
 
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Product details:

ISBN13:9780198821939
ISBN10:019882193X
Binding:Hardback
No. of pages:448 pages
Size:252x177x26 mm
Weight:1016 g
Language:English
321
Category:
Short description:

Complex systems are everywhere. Ecosystems, financial markets, traffic, the economy, the internet and social media are complex systems. This textbook summarizes our understanding of complex systems and the methodological progress made over the past 20 years in a clear, structured, and comprehensive way.

Long description:
This 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-dependent processes, co-evolutionary dynamics, dynamics of networks, the theory of scaling, and approaches from statistical mechanics and information theory. The book extends beyond the early classical literature in the field of complex systems and summarizes the methodological progress made over the past 20 years in a clear, structured, and comprehensive way.

Well written and structured
Table of Contents:
Introduction to complex systems
Probability and random processes
Scaling
Networks
Evolutionary processes
Statistical mechanics & information theory for complex systems
The future of the science of complex systems?
Special functions and approximations