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020 _a9781139519939 (ebook)
020 _z9781107640566 (paperback)
035 _a(UkCbUP)CR9781139519939
039 9 _y03-08-2017
_zhafiz
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, Vassili Kolokoltsov, Robert S. MacKay.
264 1 _aCambridge :
_bCambridge University Press,
_c2013.
300 _a1 online resource (454 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aLondon Mathematical Society Lecture Note Series ;
_v408
500 _aTitle from publisher's bibliographic system (viewed on 07 Mar 2017).
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)
700 1 _aBall, Robin,
_eeditor.
700 1 _aKolokoltsov, Vassili,
_eeditor.
700 1 _aMacKay, Robert S.,
_eeditor.
776 0 8 _iPrint version:
_z9781107640566
830 0 _aLondon Mathematical Society Lecture Note Series ;
_v408.
856 4 0 _uhttps://eresourcesptsl.ukm.remotexs.co/user/login?url=https://doi.org/10.1017/CBO9781139519939
907 _a.b1644095x
_b2022-10-13
_c2019-11-12
942 _n0
914 _avtls003618338
998 _anone
_b2017-08-03
_cm
_da
_feng
_genk
_y0
_z.b1644095x
999 _c617311
_d617311