MARC record from Internet Archive

LEADER: 04695cam 22008294a 4500
001 ocm47177018
003 OCoLC
005 20211006131718.0
008 010615s2001 gw a b 001 0 eng
010 $a 2001042161
040 $aDLC$beng$cDLC$dC#P$dIOJ$dMUQ$dUBA$dBAKER$dBTCTA$dYDXCP$dOCLCG$dIG#$dHEBIS$dDEBBG$dOCL$dOCLCQ$dDEBSZ$dOCLCO$dOCLCF$dOCLCQ$dTYC$dBGU$dOCLCO$dCPS$dOCLCO$dOCLCQ$dOCLCO$dDCHUA$dOCLCO$dOCLCA$dOCLCQ$dOCLCO
015 $a01,N35,0500$2dnb
016 7 $a962117870$2DE-101
020 $a3110169908$q(pbk. ;$qalk. paper)
020 $a9783110169904$q(pbk. ;$qalk. paper)
020 $a3110169916$q(hardcover)
020 $a9783110169911$q(hardcover)
035 $a(OCoLC)47177018
042 $apcc
050 00 $aQA614.8$b.B48 2001
082 00 $a515/.352$221
084 $aQH 170$2rvk
084 $aSK 810$2rvk
084 $aSK 820$2rvk
084 $aUG 3900$2rvk
084 $a27$2sdnb
084 $a29$2sdnb
084 $aMAT 587f$2stub
084 $aMAT 605f$2stub
084 $aMAT 344f$2stub
100 1 $aBerger, Arno,$d1968-
245 10 $aChaos and chance :$ban introduction to stochastic aspects of dynamics /$cArno Berger.
260 $aBerlin ;$aNew York :$bWalter de Gruyter,$c2001.
300 $ax, 245 pages :$billustrations ;$c25 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aDe Gruyter textbook
504 $aIncludes bibliographical references and index.
505 0 $aIntroduction . Long-time behaviour of mechanical systems -- Iteration of maps -- Elementary stochastic processes -- Basic aspects of discrete dynamical systems. Hyperbolicity and bifurcations -- How may simple systems become complicated? -- Facing deterministic chaos -- Symbolic dynamical systems -- The emergence of chaos -- Newton's method for polynomials: a case study -- Circle maps, rotation numbers, and minimality -- Gimpses of billiards -- Horseshoes, attractors, and natural extensions -- Toral maps and shadowing -- Ergodic theory I. Foundations. The statistical point of view -- Invariant and ergodic measures -- Ergodic theorems -- Aspects of mixing -- Mixing properties -- The concept of entropy -- Ergodic theory II. Applications. The Frobenius-Perron operator -- Asymptotic behaviour of densities -- Piecewise expanding Markov maps -- A short look at Markov chains -- Class structure, absorption probabilities, and hitting times-- Recurrence and transience : dynamical classification of states -- The long-time behaviour of Markov chains -- The dynamical evolution of measures. Basic examples and concepts -- Asymptotic stability -- Back to geometry : fractal sets and measures -- Three final examples -- Searching for non-normal numbers -- The fractal nature of Brownian paths -- Patterns of congruence in the Pascal triangle.
650 0 $aDifferentiable dynamical systems.
650 0 $aChaotic behavior in systems.
650 6 $aDynamique différentiable.
650 6 $aChaos.
650 7 $aChaotic behavior in systems.$2fast$0(OCoLC)fst00852171
650 7 $aDifferentiable dynamical systems.$2fast$0(OCoLC)fst00893426
650 7 $aChaotisches System$2gnd
650 7 $aDynamisches System$2gnd
650 7 $aErgodentheorie$2gnd
650 7 $aNichtlineares dynamisches System$2gnd
650 7 $aStochastischer Prozess$2gnd
650 7 $aChaostheorie$2gnd
650 7 $aSistemas dinâmicos.$2larpcal
650 7 $aSistemas dinâmicos diferenciáveis.$2larpcal
830 0 $aDe Gruyter textbook.
856 41 $3Table of contents$uhttp://catdir.loc.gov/catdir/toc/fy031/2001042161.html
856 41 $3Table of contents$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=009496164&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
856 41 $3Table of contents$uhttp://www.gbv.de/dms/ilmenau/toc/331580217.PDF$zKostenfrei
856 41 $3Table of contents$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009496164&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
938 $aBaker & Taylor$bBKTY$c44.00$d44.00$i3110169908$n0003765235$sactive
938 $aBaker & Taylor$bBKTY$c78.00$d78.00$i3110169916$n0003783889$sactive
938 $aBaker and Taylor$bBTCP$n2001042161
938 $aIngram$bINGR$n9783110169904
938 $aYBP Library Services$bYANK$n1761456
029 1 $aAU@$b000022780299
029 1 $aDEBBG$bBV013880073
029 1 $aDEBSZ$b095434054
029 1 $aHEBIS$b099826267
029 1 $aIG#$b9783110169904
029 1 $aNZ1$b6357481
994 $aZ0$bP4A
948 $hNO HOLDINGS IN P4A - 294 OTHER HOLDINGS