The Warwick Master's Course
$44.00 ( ) USD
- Robin Ball, University of Warwick
- Vassili Kolokoltsov, University of Warwick
- Robert S. MacKay, University of Warwick
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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.Read more
- Brings together for the first time the tools needed in the study of complexity science which are relevant to a wide range of students, researchers and practitioners
- Chapters are based on tried-and-tested lecture notes from the Warwick University master's degree course in complexity science
- The exposition contains plenty of examples and real world applications to enhance the learning experience of the reader
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- format: Adobe eBook Reader
- isbn: 9781107497641
- contains: 40 b/w illus.
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
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.
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