MARC Record from harvard_bibliographic_metadata

LEADER: 02748cam a2200457 i 4500
001 014028559-8
005 20140808185652.0
008 131025s2014 gw a b 001 0 eng
010 $a 2013041808
015 $aGBB414736$2bnb
016 7 $a016622830$2Uk
016 7 $a016622831$2Uk
020 $a9783110340730 (alk. paper)
020 $a3110340739 (alk. paper)
020 $a9783110342406 (e-ISBN)
020 $a3110342405 (e-ISBN)
020 $a9783110342413 (set-ISBN)
020 $a3110342413 (set-ISBN)
035 $a(PromptCat)99958461089
035 0 $aocn862041465
040 $aDLC$beng$erda$cDLC$dYDXCP$dCGU$dBTCTA$dMUU$dOCLCO$dVRC$dUKMGB$dOHX$dZCU
042 $apcc
050 00 $aQA611.5$b.V754 2013
072 7 $aQA$2lcco
082 00 $a515/.39$223
100 1 $aVries, J. de$q(Jan),$eauthor.
245 10 $aTopological dynamical systems /$cJan de Vries.
264 1 $aBerlin ;$aBoston :$bDe Gruyter,$c[2014]
300 $axv, 498 pages :$billustrations ;$c25 cm.
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
490 1 $aDe Gruyter studies in mathematics ;$v59
504 $aIncludes bibliographical references and index.
505 0 $aIntroduction -- Basic notions -- Dynamical systems on the real line -- Limit behaviour -- Recurrent behaviour -- Shift systems -- Symbolic representations -- Erratic behaviour -- Topological entropy -- Topology -- The cantor set -- Hints to the exercises.
520 3 $aThis book is an introduction into the theory of discrete dynamical systems with emphasis on the topological background. It is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and a course in General Topology are sufficient. Students who have mastered this book will have a firm basis to start research on related topics. The theory is about the behaviour of points of a Hausdorff space under the iteration of a continuous self-map. The assumption that the space is metrizable is avoided as much as possible, but where the non-metric version of the theory would become unwieldy we do not hesitate to assume metrizability. A similar remark applies to the assumption of compactness of the space. Much attention is given to dynamical systems on intervals on the real line. A wide range of topics, such as asymptotic stability, shift systems, (chain-)recurrence, topological entropy and chaos, is discussed. Every chapter concludes with a set of exercises and a section of notes, with references to the literature.
650 0 $aTopological dynamics.
830 0 $aDe Gruyter studies in mathematics ;$v59.
899 $a415_565004
988 $a20140506
906 $0DLC