单复变动力系统

图书标准信息

• 作者 [美]米尔诺（John Milnor） 著
• 出版社 世界图书出版公司
• 出版时间 2013-03
• 版次 3
• ISBN 9787510058301
• 定价 79.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 304页
• 正文语种 英语
• 原版书名 Dynamics in One Complex Variable

【内容简介】

　　ThisbookstudiesthedynamicsofiteratedholomorphicmappingsfromaRiemannsurfacetoitself，concentratingontheclassicalcaseofrational.mapsoftheRiemannsphere.ItisbasedonintroductorylecturesgivenatStonyBrookduringthefalltermof1989-90andinlateryears.IamgratefultotheaudiencesforagreatdealofconstructivecriticismandtoBodilBranner，AdrienDouady，JohnHubbard，andMitsuhiroShishikura，whotaughtmemostofwhatIknowinthisfield.Also，Iwanttothankanumberofindividualsfortheirextremelyhelpfulcriticismsandsuggestions，especiallyAdamEpstein，RodrigoPerez，AlfredoPoirier，LasseRempe，andSaeedZakeri.AraceliBonifanthasbeenparticularlyhelpfulinthepreparationofthisthirdedition.

【目录】

ListofFigures
PrefacetotheThirdEdition
ChronologicalTable
RiemannSurfaces
1.SimplyConnectedSurfaces
2.UniversalCoveringsandthePoincareMetric
3.NormalFamilies:Montel'sTheorem

IteratedHolomorphicMaps
4.FatouandJulia:DynamicsontheRiemannSphere
5.DynamicsonHyperbolicSurfaces
6.DynamicsonEuclideanSurfaces
7.SmoothJuliaSets

LocalFixedPointTheory
8.GeometricallyAttractingorRepellingFixedPoints
9.Bottcher'sTheoremandPolynomialDynamics
10.ParabolicFixedPoints:TheLeau-FatouFlower
11.CremerPointsandSiegelDisks

PeriodicPoints:GlobalTheory
12.TheHolomorphicFixedPointFormula
13.MostPeriodicOrbitsRepel
14.RepellingCyclesAreDenseinJ

StructureoftheFatouSet
15.HermanRings
16.TheSullivanClassificationofFatouComponents

UsingtheFatouSettoStudytheJuliaSet
17.PrimeEndsandLocalConnectivity
18.PolynomialDynamics:ExternalRays
19.HyperbolicandSubhyperbolicMaps

AppendixA.TheoremsfromClassicalAnalysis
AppendixB.Length-Area-ModulusInequalities
AppendixC.Rotations,ContinuedFractions,andRationalApproximation
AppendixD.TwoorMoreComplexVariables
AppendixE.BranchedCoveringsandOrbifolds
AppendixF.NoWanderingFatouComponents
AppendixG.ParameterSpaces
AppendixH.ComputerGraphicsandEffectiveComputation
References
Index