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 understan...
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| Weitere Verfasser: | , , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2013
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| Schriftenreihe: | London Mathematical Society lecture note series
408 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (ix, 445 pages) |
| ISBN: | 9781139519939 |
| DOI: | 10.1017/CBO9781139519939 |
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| 505 | 8 | |a Self-organisation and emergence -- Complexity and chaos in dynamical systems -- Interacting stochastic particle systems -- Statistical mechanics of complex systems -- Numerical simulation of continuous systems -- Stochastic methods in economics and finance -- Space-time phases -- Selfish routing | |
| 520 | |a 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 | ||
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| contents | Self-organisation and emergence -- Complexity and chaos in dynamical systems -- Interacting stochastic particle systems -- Statistical mechanics of complex systems -- Numerical simulation of continuous systems -- Stochastic methods in economics and finance -- Space-time phases -- Selfish routing |
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| discipline | Allgemeine Naturwissenschaft Mathematik |
| doi_str_mv | 10.1017/CBO9781139519939 |
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| isbn | 9781139519939 |
| language | English |
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| spelling | Complexity science the Warwick master's course edited by Robin Ball, University of Warwick, Vassili Kolokoltsov, University of Warwick, Robert S. Mackay, University of Warwick Cambridge Cambridge University Press 2013 1 online resource (ix, 445 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 408 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Self-organisation and emergence -- Complexity and chaos in dynamical systems -- Interacting stochastic particle systems -- Statistical mechanics of complex systems -- Numerical simulation of continuous systems -- Stochastic methods in economics and finance -- Space-time phases -- Selfish routing 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 Naturwissenschaft Philosophie Complexity (Philosophy) Science / Philosophy Komplexes System (DE-588)4114261-5 gnd rswk-swf Komplexes System (DE-588)4114261-5 s 1\p DE-604 Ball, Robin edt Kolokolʹt͡sov, V. N. edt MacKay, Robert S. 1956- edt Erscheint auch als Druckausgabe 978-1-107-64056-6 https://doi.org/10.1017/CBO9781139519939 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Complexity science the Warwick master's course Self-organisation and emergence -- Complexity and chaos in dynamical systems -- Interacting stochastic particle systems -- Statistical mechanics of complex systems -- Numerical simulation of continuous systems -- Stochastic methods in economics and finance -- Space-time phases -- Selfish routing Naturwissenschaft Philosophie Complexity (Philosophy) Science / Philosophy Komplexes System (DE-588)4114261-5 gnd |
| subject_GND | (DE-588)4114261-5 |
| title | Complexity science the Warwick master's course |
| title_auth | Complexity science the Warwick master's course |
| title_exact_search | Complexity science the Warwick master's course |
| title_full | Complexity science the Warwick master's course edited by Robin Ball, University of Warwick, Vassili Kolokoltsov, University of Warwick, Robert S. Mackay, University of Warwick |
| title_fullStr | Complexity science the Warwick master's course edited by Robin Ball, University of Warwick, Vassili Kolokoltsov, University of Warwick, Robert S. Mackay, University of Warwick |
| title_full_unstemmed | Complexity science the Warwick master's course edited by Robin Ball, University of Warwick, Vassili Kolokoltsov, University of Warwick, Robert S. Mackay, University of Warwick |
| title_short | Complexity science |
| title_sort | complexity science the warwick master s course |
| title_sub | the Warwick master's course |
| topic | Naturwissenschaft Philosophie Complexity (Philosophy) Science / Philosophy Komplexes System (DE-588)4114261-5 gnd |
| topic_facet | Naturwissenschaft Philosophie Complexity (Philosophy) Science / Philosophy Komplexes System |
| url | https://doi.org/10.1017/CBO9781139519939 |
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