LEADER 02815nam 2200601 450 001 996466643103316 005 20220911060852.0 010 $a3-540-45971-5 024 7 $a10.1007/BFb0079769 035 $a(CKB)1000000000437458 035 $a(SSID)ssj0000324202 035 $a(PQKBManifestationID)12091426 035 $a(PQKBTitleCode)TC0000324202 035 $a(PQKBWorkID)10304203 035 $a(PQKB)10469509 035 $a(DE-He213)978-3-540-45971-2 035 $a(MiAaPQ)EBC5579226 035 $a(Au-PeEL)EBL5579226 035 $a(OCoLC)1066199580 035 $a(MiAaPQ)EBC6842396 035 $a(Au-PeEL)EBL6842396 035 $a(OCoLC)1113036843 035 $a(PPN)155165577 035 $a(EXLCZ)991000000000437458 100 $a20220911d1988 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aIterates of piecewise monotone mappings on an interval /$fedited by Chris Preston 205 $a1st ed. 1988. 210 1$aBerlin, Heidelberg :$cSpringer-Verlag,$d[1988] 210 4$dİ1988 215 $a1 online resource (VIII, 172 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1347 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-50329-3 311 $a3-540-50329-3 327 $aPiecewise monotone mappings -- Proof of Theorems 2.4 and 2.5 -- Sinks and homtervals -- Examples of register-shifts -- A proof of Parry's theoren (Theorem 2.6) -- Reductions -- The structure of the set D(f) -- Countable closed invariant sets -- Extensions -- Refinements -- Mappings with one turning point -- Some miscellaneous results from real analysis. 330 $aPiecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course in (one-dimensional) real analysis. The account concentrates on the topological (as opposed to the measure theoretical) aspects of the theory of piecewise monotone mappings. As well as offering an elementary introduction to this theory, these notes also contain a more advanced treatment of the problem of classifying such mappings up to topological conjugacy. 410 0$aLecture notes in mathematics (Berlin) ;$vVolume 1347. 606 $aIterative methods (Mathematics) 615 0$aIterative methods (Mathematics) 676 $a518.26 702 $aPreston$b Christopher J. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466643103316 996 $aIterates of piecewise monotone mappings on an interval$92909980 997 $aUNISA