
Complexity Science
The Warwick Master's Course
Cambridge University Press
Published on 21. November 2013
Book
Paperback/Softback
454 pages
978-1-107-64056-6 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
40 Line drawings, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 25 mm
Weight
658 gr
ISBN-13
978-1-107-64056-6 (9781107640566)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

E-Book
11/2013
1st Edition
Cambridge University Press
€47.49
Available for download

E-Book
11/2013
Cambridge University Press
€40.49
Available for download
Persons
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.
Editor
University of Warwick
University of Warwick
University of Warwick
Content
Preface; 1. Self-organization and emergence Mario Nicodemi, Anas Ahmad Rana, Chris Oates, Yu-Xi Chau and Leigh Robinson; 2. Complexity and chaos in dynamical systems Yulia Timofeeva; 3. Interacting stochastic processes Stefan Grosskinsky; 4. Statistical mechanics of complex systems Ellak Somfai; 5. Numerical simulation of continuous systems Colm Connaughton; 6. Stochastic methods in economics and finance Vassili Kolokoltsov; 7. Space-time phases Robert S. MacKay; 8. Selfish routing Robert S. MacKay.