书目

An Introduction to Chaotic Dynamical Systems, 2nd Edition

内容简介

Thestudyofnonlineardynamicalsystemshasexplodedinthepast25years,andRobertL.Devaneyhasmadetheseadvancedresearchdevelopmentsaccessibletoundergraduateandgraduatemathematicsstudentsaswellasresearchersinotherdisciplineswiththeintroductionofthiswidelypraisedbook.Inthissecondeditionofhisbest-sellingtext,DevaneyincludesnewmaterialontheorbitdiagramfromapsoftheintervalandtheMandelbrotset,aswellasstrikingcolorphotosillustratingbothJuliaandMandelbrotsets.Thisbookassumesnoprioracquaintancewithadvancedmathematicaltopicssuchasmeasuretheory,topology,anddifferentialgeometry,Assumingonlyaknowledgeofcalculus,Devaneyintroducesmanyofthebasicconceptsofmoderndynamicalsystemstheoryandleadsthereadertothepointofcurrentresearchinseveralareas.

作者简介

RobertL.DevaneyisformerlychairmanoftheDepartmentofMathematicsatBostonUniversity.HereceivedhisA.B.fromHolyCrossCollegeandhisPh.D.fromtheUniversityofCaliforniaatBerkeleyin1973.ProfessorDevaneyhastaughtatNorthwesternUniversity,TuftsUniversity,andtheUniversityofMaryland.Hisresearchinterestsaremainlyindynamicalsystems,includingcomplexdynamics,Hamiltoniansystems,andexperimentsindynamics.

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