000			02995nam a22004218i 4500
001			CR9781139519939
005			20250919142039.0
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007			cr||||||||||||
008			120531s2013||||enk o ||1 0|eng|d
020			_a9781139519939 (ebook)
020			_z9781107640566 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQ175.32.C65 _bC656 2013
082	0	0	_a501 _223
245	0	0	_aComplexity science : _bthe Warwick master's course / _cedited by Robin Ball, University of Warwick, Vassili Kolokoltsov, University of Warwick, Robert S. Mackay, University of Warwick.
264		1	_aCambridge : _bCambridge University Press, _c2013.
300			_a1 online resource (ix, 445 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v408
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aSelf-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			_aComplexity 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.
650		0	_aComplexity (Philosophy)
650		0	_aScience _xPhilosophy.
700	1		_aBall, Robin, _eeditor.
700	1		_aKolokolʹt︠s︡ov, V. N. _q(Vasiliĭ Nikitich), _eeditor.
700	1		_aMacKay, Robert S., _d1956- _eeditor.
776	0	8	_iPrint version: _z9781107640566
830		0	_aLondon Mathematical Society lecture note series ; _v408.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139519939
907			_a.b16843885 _b2020-12-22 _c2020-12-22
942			_n0
998			_a1 _b2020-12-22 _cm _da _feng _genk _y0 _z.b16843885
999			_c651732 _d651732