Complexity Science by Robin Ball
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.-
Introduction to Hidden Semi-Markov Models
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Partial Differential Equations and Fluid Mechanics
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Linear Logic in Computer Science
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Groups
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L-Functions and Galois Representations
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Groups and Analysis
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Singularities and Computer Algebra
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Recent Advances in Hodge Theory
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Integrable Systems and Algebraic Geometry: Volume 2
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Kleinian Groups and Hyperbolic 3-Manifolds
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Combinatorics
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Some Topics in Graph Theory
- Modulated Quivers, Semi-invariant Pictures and Picture Groups
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Groups St Andrews 2013
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Groups St Andrews 2017 in Birmingham
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Surveys in Contemporary Mathematics
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Multifunctorial Equivariant Algebraic K-Theory
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Spectra of Signed Graphs
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Surveys in Combinatorics 2026
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The Geometry of Jet Bundles
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C<sup>∞</sup>-Algebraic Geometry with Corners
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Transcendental Dynamics and Complex Analysis
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Topics in Number Theory
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Groups St Andrews 2001 in Oxford: Volume 2
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Topics in Graph Automorphisms and Reconstruction
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Mathematical Aspects of Fluid Mechanics
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Finite von Neumann Algebras and Masas
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Evolution Equations
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Auslander-Buchweitz Approximations of Equivariant Modules
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Model Theory with Applications to Algebra and Analysis: Volume 1
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Integrable Systems and Algebraic Geometry: Volume 1
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Non-equilibrium Statistical Mechanics and Turbulence
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Partial Differential Equations in Fluid Mechanics
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Geometry in a Frechet Context
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Ranks of Elliptic Curves and Random Matrix Theory
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Non-abelian Fundamental Groups and Iwasawa Theory
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The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations
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Topological Methods in Group Theory
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Optimal Transport
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Entropy of Hidden Markov Processes and Connections to Dynamical Systems
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An Introduction to Galois Cohomology and its Applications
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Dense Sphere Packings
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Synthetic Differential Topology
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Surveys in Combinatorics 2019
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O-Minimality and Diophantine Geometry
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Topics in Dynamics and Ergodic Theory
Robin Ball is a Professor of Physics at the University of Warwick. Vassili Kolokoltsov is a Professor in the Department of Statistics at the 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.
| SKU | Unavailable |
| ISBN 13 | 9781107640566 |
| ISBN 10 | 1107640563 |
| Title | Complexity Science |
| Author | Robin Ball |
| Series | London Mathematical Society Lecture Note Series |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2013-11-21 |
| Number of pages | 454 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |