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Field name	Details
Dewey Class	519.5
Title	Modelling with the Master Equation ([EBook]) : Solution Methods and Applications in Social and Natural Sciences / by Günter Haag.
Author	Haag, Günter. , 1948-
Other name(s)	SpringerLink (Online service)
Publication	Cham : Springer International Publishing , 2017.
Physical Details	XXV, 342 p. 109 illus., 19 illus. in color. : online resource.
ISBN	9783319603001
Summary Note	This book presents the theory and practical applications of the Master equation approach, which provides a powerful general framework for model building in a variety of disciplines. The aim of the book is to not only highlight different mathematical solution methods, but also reveal their potential by means of practical examples. Part I of the book, which can be used as a toolbox, introduces selected statistical fundamentals and solution methods for the Master equation. In Part II and Part III, the Master equation approach is applied to important applications in the natural and social sciences. The case studies presented mainly hail from the social sciences, including urban and regional dynamics, population dynamics, dynamic decision theory, opinion formation and traffic dynamics; however, some applications from physics and chemistry are treated as well, underlining the interdisciplinary modelling potential of the Master equation approach. Drawing upon the author’s extensive teaching and research experience and consulting work, the book offers a valuable guide for researchers, graduate students and professionals alike.:
Contents note	Preface -- 1 Introduction -- 2 Statistical Fundamentals -- 3 Derivation of the Chapman-Kolmogorov Equation and the Master Equation -- 4 Solution Methods of Master Equations -- 5 Some Applications in Physics and Chemistry -- 6 The Master Equation in Dynamic Decision Theory -- 7 Applications in Population Dynamics -- 8 Migration -- 9 Urban Dynamics and Transport.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-60300-1
Links to Related Works	Subject References: Chemometrics . Complex Systems . Emigration and immigration . Game Theory . Game Theory, Economics, Social and Behav. Sciences . Migration . Regional economics . Spatial economics . Statistics . System theory . Authors: Haag, Günter. 1948- . Corporate Authors: SpringerLink (Online service) . Classification: 519.5 .

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Modelling with the Master Equation: Solution Methods and Applications in Social and Natural Sciences

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