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1、ThismathematicalphysicscontributiontotheComputerAlgebraRecipesseriesisdedicatedtomywifeKaren,wholightsmypaththroughlife.RichardH.EnnsComputerAlgebraRecipesforMathematicalPhysicsBirkhauser¨Boston•Basel•BerlinRichardH.EnnsSimonFraserUniversityDepartmentofPhysicsBurna
2、by,B.C.V5A1S6CanadaAMSSubjectClassifications(2000):15A90,30-XX,33-XX,34-XX,35-XX,35Qxx,40-XX,42-XX,44-XX,49-XX,65-XX,68-XX,70-XX,97U50ISBN0-8176-3223-9Printedonacid-freepaper.c2005BirkhauserBoston¨Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartw
3、ithoutthewrittenpermissionofthepublisher(BirkhauserBoston,c/oSpringerScience¨+BusinessMediaInc.,RightsandPermissions,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsincon-nectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorag
4、eandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarksandsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofop
5、inionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheUnitedStatesofAmerica.(HP)987654321SPIN10923559www.birkhauser.comPrefaceThisbookisaself-containedguidetoproblem-solvingandexplorationinmath-ematicalphysicsusingthepowerfulMaple9.5computeralgebrasyst
6、em(CAS).WithaCASonecannotonlycrunchnumbersandplotresults,butalsocarryoutthesymbolicmanipulationswhichformthebackboneofmathematicalphysics.Theheartofthistextconsistsofover230usefulandstimulating“classic”computeralgebraworksheetsorrecipes,whicharesystematicallyorgani
7、zedtocoverthemajortopicspresentedinthestandardMathematicalPhysicscourseofferedtothirdorfourthyearundergraduatephysicsandengineeringstudents.Theemphasishereisonapplications,withonlyabriefsummaryoftheun-derlyingtheoreticalideasbeingpresented.Theaimistoshowhowcomputera
8、lgebracannotonlyimplementthemethodsofmathematicalphysicsquickly,accurately,andefficiently,butcanbeusedtoexploremorecomplexexampleswhicharetediousor
