Complexity Science (Paperback)

Robin Ball

ISBN 10: 1107640563 / ISBN 13: 9781107640566

Editore: Cambridge University Press, Cambridge, 2013

Paperback. Complexity science is the study of systems with many interdependent components. Such systems - and the self-organization and emergent phenomena they manifest - lie at the heart of many challenges of global importance. This book is a coherent introduction to the mathematical methods used to understand complexity, with plenty of examples and real-world applications. It starts with the crucial concepts of self-organization and emergence, then tackles complexity in dynamical systems using differential equations and chaos theory. Several classes of models of interacting particle systems are studied with techniques from stochastic analysis, followed by a treatment of the statistical mechanics of complex systems. Further topics include numerical analysis of PDEs, and applications of stochastic methods in economics and finance. The book concludes with introductions to space-time phases and selfish routing. The exposition is suitable for researchers, practitioners and students in complexity science and related fields at advanced undergraduate level and above. Many issues of global importance reveal an urgent need for a new generation trained to understand the mathematics of complex systems. This book presents the essential mathematical aspects of complexity science, suitable for advanced undergraduate/masters-level students and researchers in complexity science and related areas. Includes plentiful examples and real-world applications. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781107640566

Riassunto:

This book presents introductions to the essential mathematical aspects of complexity science, suitable for advanced undergraduate/masters-level students and researchers.

Informazioni sugli autori: Robin Ball is a Professor of Physics at the University of Warwick.

Vassili Kolokoltsov is a Professor in the Department of Statistics at the University of Warwick.

Robert MacKay is a Professor of Mathematics at the University of Warwick, where he is also the Director of Mathematical Interdisciplinary Research. He is a Fellow of the Royal Society.

Dati bibliografici

Titolo: Complexity Science (Paperback)
Casa editrice: Cambridge University Press, Cambridge
Data di pubblicazione: 2013
Legatura: Paperback
Condizione: new