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1、StephenLynchDynamicalSystemswithApplicationsusingMapleTMSecondEditionBirkhauser¨Boston•Basel•BerlinStephenLynchDepartmentofComputingandMathematicsManchesterMetropolitanUniversityManchesterM15GDUnitedKingdoms.lynch@mmu.ac.ukhttp://www.docm.mmu.ac.uk/STAFF/S.LynchISBN978
2、-0-8176-4389-8e-ISBN978-0-8176-4605-9DOI10.1007/978-0-8176-4605-9LibraryofCongressControlNumber:2009939273MathematicsSubjectClassification(2000):34Axx,34Cxx,34Dxx,37Exx,37Gxx,37Nxx,58F10,58F14,58F21,78A25,78A60,78A97,92Bxx,92Exx,93Bxx,93Cxx,93DxxcBirkh¨auserBoston,apar
3、tofSpringerScience+BusinessMedia,LLC2001,2010Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrit-tenpermissionofthepublisher(Birkh¨auserBoston,c/oSpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerpts
4、inconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterde-velopedisforbidden.Theuseinthispublicationoftradenames,trademarks,service
5、marks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperBirkh¨auserBostonispartofSpringerScience+BusinessMedia(www.birkhauser.com)Formydad,GeoffreyLynch(19432008
6、)andthefatherofchaos,EdwardLorenz(19172008)ContentsPrefacexiii0ATutorialIntroductiontoMaple10.1AQuickTourofMaple......................20.2TutorialOne:TheBasics(OneHour)...............40.3TutorialTwo:PlotsandDifferentialEquations(OneHour)...70.4SimpleMaplePrograms......
7、................80.5HintsforProgramming......................110.6MapleExercises..........................131DifferentialEquations171.1SimpleDifferentialEquationsandApplications.........181.2ApplicationstoChemicalKinetics................271.3ApplicationstoElectricCircu
8、its.................301.4ExistenceandUniquenessTheorem................341.5MapleCommands.........................371.
