000 | 03896nam a22005535i 4500 | ||
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001 | 978-3-319-60300-1 | ||
003 | DE-He213 | ||
005 | 20181204134420.0 | ||
007 | cr nn 008mamaa | ||
008 | 170801s2017 gw | s |||| 0|eng d | ||
020 |
_a9783319603001 _9978-3-319-60300-1 |
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024 | 7 |
_a10.1007/978-3-319-60300-1 _2doi |
|
040 | _aISI Library, Kolkata | ||
050 | 4 | _aQA276-280 | |
072 | 7 |
_aJHBC _2bicssc |
|
072 | 7 |
_aSOC027000 _2bisacsh |
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072 | 7 |
_aJHBC _2thema |
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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. |
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2017. |
|
300 |
_aXXV, 342 p. 109 illus., 19 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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 | _aMigration. | |
650 | 0 | _aMathematics. | |
650 | 0 |
_aChemistry _xMathematics. |
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650 | 1 | 4 |
_aStatistics for Social Science, Behavorial Science, Education, Public Policy, and Law. _0http://scigraph.springernature.com/things/product-market-codes/S17040 |
650 | 2 | 4 |
_aRegional/Spatial Science. _0http://scigraph.springernature.com/things/product-market-codes/W49000 |
650 | 2 | 4 |
_aMigration. _0http://scigraph.springernature.com/things/product-market-codes/X24000 |
650 | 2 | 4 |
_aGame Theory, Economics, Social and Behav. Sciences. _0http://scigraph.springernature.com/things/product-market-codes/M13011 |
650 | 2 | 4 |
_aMath. Applications in Chemistry. _0http://scigraph.springernature.com/things/product-market-codes/C17004 |
650 | 2 | 4 |
_aComplex Systems. _0http://scigraph.springernature.com/things/product-market-codes/P33000 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319602998 |
776 | 0 | 8 |
_iPrinted edition: _z9783319603018 |
776 | 0 | 8 |
_iPrinted edition: _z9783319868301 |
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-60300-1 |
912 | _aZDB-2-SMA | ||
942 | _cEB | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c427199 _d427199 |