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London Mathematical Society Lecture Note Ser.: Complexity Science : The Warwick Master's Course by Vassili Kolokoltsov (2013, Trade Paperback)
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-101107640563
ISBN-139781107640566
eBay Product ID (ePID)167948600
Product Key Features
Number of Pages454 Pages
Publication NameComplexity Science : the Warwick Master's Course
LanguageEnglish
SubjectGeneral
Publication Year2013
TypeTextbook
Subject AreaMathematics
AuthorVassili Kolokoltsov
SeriesLondon Mathematical Society Lecture Note Ser.
FormatTrade Paperback
Dimensions
Item Height0.9 in
Item Weight23.4 Oz
Item Length9 in
Item Width6 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2013-028846
Dewey Edition23
Series Volume NumberSeries Number 408
IllustratedYes
Dewey Decimal501
Table Of ContentPreface; 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.
SynopsisMany 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., 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.
LC Classification NumberQ175.32.C65 C656 201
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