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001 978-3-319-60300-1
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020 _a9783319603001
_9978-3-319-60300-1
024 7 _a10.1007/978-3-319-60300-1
_2doi
040 _cCUS
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082 0 4 _a519.5
_223
100 1 _aHaag, Günter.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aModelling with the Master Equation
_h[electronic resource] :
_bSolution Methods and Applications in Social and Natural Sciences /
_cby Günter Haag.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXXV, 342 p. 109 illus., 19 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreface -- 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.
520 _aThis 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.
650 0 _aStatistics .
650 0 _aRegional economics.
650 0 _aSpatial economics.
650 0 _aEmigration and immigration.
650 0 _aGame theory.
650 0 _aChemometrics.
650 0 _aStatistical physics.
650 0 _aDynamical systems.
650 1 4 _aStatistics for Social Sciences, Humanities, Law.
_0https://scigraph.springernature.com/ontologies/product-market-codes/S17040
650 2 4 _aRegional/Spatial Science.
_0https://scigraph.springernature.com/ontologies/product-market-codes/W49000
650 2 4 _aMigration.
_0https://scigraph.springernature.com/ontologies/product-market-codes/X24000
650 2 4 _aGame Theory, Economics, Social and Behav. Sciences.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M13011
650 2 4 _aMath. Applications in Chemistry.
_0https://scigraph.springernature.com/ontologies/product-market-codes/C17004
650 2 4 _aComplex Systems.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P33000
856 4 0 _uhttps://doi.org/10.1007/978-3-319-60300-1
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