Complexity Science - The Warwick Master''s Course

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.

Sommario

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.

Info autore

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.

Riassunto

Many issues of global importance reveal an urgent need for a new generation trained to understand the mathematics of complex systems. This book presents the essential mathematical aspects of complexity science, suitable for advanced undergraduate/masters-level students and researchers in complexity science and related areas. Includes plentiful examples and real-world applications.

Dettagli sul prodotto

• Autori: Robin Ball, Robin (University of Warwick) Kolokoltsov Ball, Robin Kolokoltsov Ball
• Con la collaborazione di: Robin Ball (Editore), Robin (University of Warwick) Ball (Editore), Ball Robin (Editore), Vassili Kolokoltsov (Editore), Vassili (University of Warwick) Kolokoltsov (Editore), Vassili N. Kolokoltsov (Editore), Robert S. MacKay (Editore), Robert S. (University of Warwick) MacKay (Editore), MacKay Robert S. (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 21.11.2013
• EAN: 9781107640566
• ISBN: 978-1-107-64056-6
• Pagine: 454
• Serie: London Mathematical Society Lecture Note Series; London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Tematiche generali, enciclopedie; MATHEMATICS / General, MATHEMATICS / Applied, MATHEMATICS / Numerical Analysis, Numerical analysis, Complex analysis, complex variables, Stochastics, Mathematical modelling