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Complexity Science
The Warwick Master's Course

$82.00 (P)

Part of London Mathematical Society Lecture Note Series

Mario Nicodemi, Anas Ahmad Rana, Chris Oates, Yu-Xi Chau, Leigh Robinson, Yulia Timofeeva, Stefan Grosskinsky, Ellak Somfai, Colm Connaughton, Vassili Kolokoltsov, Robert S. MacKay
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  • Date Published: December 2013
  • availability: In stock
  • format: Paperback
  • isbn: 9781107640566

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About the Authors
  • 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.

    • 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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    Product details

    • Date Published: December 2013
    • format: Paperback
    • isbn: 9781107640566
    • length: 454 pages
    • dimensions: 228 x 152 x 24 mm
    • weight: 0.66kg
    • contains: 40 b/w illus.
    • availability: In stock
  • Table of Contents

    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.

  • Editors

    Robin Ball, University of Warwick
    Robin Ball is a Professor of Physics at the University of Warwick.

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

    Robert S. MacKay, 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.

    Contributors

    Mario Nicodemi, Anas Ahmad Rana, Chris Oates, Yu-Xi Chau, Leigh Robinson, Yulia Timofeeva, Stefan Grosskinsky, Ellak Somfai, Colm Connaughton, Vassili Kolokoltsov, Robert S. MacKay

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