Complexity science : the Warwick master's course
- New York : Cambridge University Press, 2013.
- Physical description
- ix, 445 pages : illustrations ; 23 cm.
- London Mathematical Society lecture note series ; 408.
Q175.32 .C65 C656 2013
- Unknown Q175.32 .C65 C656 2013
- Includes bibliographical references and index.
- 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.
- (source: Nielsen Book Data)
- Publisher's Summary
- 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.
(source: Nielsen Book Data)
- Publication date
- edited by Robin Ball, University of Warwick, Vassili Kolokoltsov, University of Warwick, Robert S. Mackay, University of Warwick.
- London Mathematical Society lecture note series ; 408
- Based on lectures at the University of Warwick.