Complexity Science The Warwick Master's Course Ball Kolokoltsov MacKay Paperback

Complexity ScienceThe Warwick Master's Course\nAuthor(s): Robin Ball, Vassili Kolokoltsov, Robert S. MacKay\nFormat: Paperback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9781107640566, 978-1107640566\nSynopsis\nComplexity 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 topi.