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.