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  3. Complexity Science
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2014
      November 2013
      ISBN:
      9781139519939
      9781107640566
      DOI:
      https://doi.org/10.1017/CBO9781139519939
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.66kg, 454 Pages
      • Subjects:
      Mathematics (general), Mathematics, Physics and Astronomy, Mathematical Modeling and Methods, Statistical Physics
      Series:
      London Mathematical Society Lecture Note Series (408)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Physics and Astronomy, Mathematical Modeling and Methods, Statistical Physics
    Series:
    London Mathematical Society Lecture Note Series (408)
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    Book 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.

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