LEADER 03378nam 2200805 450 001 9910819115903321 005 20200903223051.0 010 $a3-11-034073-9 010 $a3-11-034240-5 024 7 $a10.1515/9783110342406 035 $a(CKB)2550000001303725 035 $a(EBL)1480460 035 $a(OCoLC)870591587 035 $a(SSID)ssj0001113434 035 $a(PQKBManifestationID)12383618 035 $a(PQKBTitleCode)TC0001113434 035 $a(PQKBWorkID)11167422 035 $a(PQKB)10189097 035 $a(SSID)ssj0001174195 035 $a(PQKBManifestationID)11765967 035 $a(PQKBTitleCode)TC0001174195 035 $a(PQKBWorkID)11107799 035 $a(PQKB)20538543 035 $a(MiAaPQ)EBC1480460 035 $a(DE-B1597)245859 035 $a(OCoLC)873464768 035 $a(OCoLC)979690126 035 $a(DE-B1597)9783110342406 035 $a(Au-PeEL)EBL1480460 035 $a(CaPaEBR)ebr10838353 035 $a(CaONFJC)MIL574285 035 $a(PPN)182943844 035 $a(EXLCZ)992550000001303725 100 $a20131025h20142014 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTopological dynamical systems $ean introduction to the dynamics of continuous mappings /$fJan de Vries 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d[2014] 210 4$dİ2014 215 $a1 online resource (516 p.) 225 1 $aDe Gruyter studies in mathematics,$x0179-0986 ;$vvolume 59 300 $aDescription based upon print version of record. 311 $a3-11-037459-5 311 $a1-306-43034-8 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tPreface -- $tNotation -- $tContents -- $t0. Introduction -- $t1. Basic notions -- $t2. Dynamical systems on the real line -- $t3. Limit behaviour -- $t4. Recurrent behaviour -- $t5. Shift systems -- $t6. Symbolic representations -- $t7. Erratic behaviour -- $t8. Topological entropy -- $tA. Topology -- $tB. The Cantor set -- $tC. Hints to the Exercises -- $tLiterature -- $tIndex -- $tDe Gruyter Studies in Mathematics 330 $aThere is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient. 410 0$aDe Gruyter studies in mathematics ;$v59. 606 $aTopological dynamics 610 $aAlmost periodic points and minimal sets. 610 $aChaos. 610 $aDiscrete dynamical systems. 610 $aRecurrence. 610 $aShift systems and symbolic dynamics. 610 $aSymptotic stability and attraction. 610 $aTopological entropy. 615 0$aTopological dynamics. 676 $a515/.39 686 $aSK 350$qSEPA$2rvk 700 $aVries$b J. de$g(Jan)$01629633 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819115903321 996 $aTopological dynamical systems$93967493 997 $aUNINA