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1、ProblemBooksinMathematicsEditedbyK.BencsathP.R.HalmosSpringerNewYorkBerlinHeidelbergBarcelonaHongKongLondonMilanParisSingaporeTokyoProblemBooksinMathematicsSeriesEditors:K.BencsdthandP.R.HalmosPolynomialsbyEdwardJ.BarbeauProblemsinGeometrybyMarcelBerger,PierrePansu,Jean-PicBe
2、rry,andXavierSaint-RaymondProblemBookforFirstYearCalculusbyGeorgeW.BlumanExercisesinProbabilitybyT.CacouUosAnIntroductiontoHUbertSpaceandQuantumLogicbyDavidW.CohenUnsolvedProblemsinGeometrybyMallardT.Croft,KennethJ.Falconer,andRichardK.GuyProblem-SolvingStrategiesbyArthurEnge
3、lProblemsinAnalysisbyBernardR.GelbaumProblemsinRealandComplexAnalysisbyBernardR.GelbaumTheoremsandCounterexamplesinMathematicsbyBernardR.GelbaumandJohnM.H.OlmstedExercisesinIntegrationbyClaudeGeorgeAlgebraicLogicbyS.G.GindikinUnsolvedProblemsinNumberTheory(2nded.)byRichardK.G
4、uy(continuedafterindex)ProblemBooksinMathematics(continued)AnOutlineofSetTheorybyJamesM.HenleDemographyThroughProblemsbyNathanKeyfitzandJohnA.BeekmanTheoremsandProblemsinFunctionalAnalysisbyA.A.KirillovandA.D.GvishianiExercisesinClassicalRingTheorybyT.Y.LamProblem-SolvingThro
5、ughProblemsbyLorenC.LarsonWinningSolutionsbyEdwardLozanskyandCecilRosseauAProblemSeminarbyDonaldJ.NewmanExercisesinNumberTheorybyD.P.ParentContestsinHigherMathematics:MiklosSchweitzerCompetitions1962-1991byGdborJ.Szekely(editor)BerkeleyProblemsinMathematicsbyPauloNeydeSouzaan
6、dJorge-NunoSilvaArthurEngelProblem-SolvingStrategiesWith223Figures13AngelEngelInstitutfurDidaktikderMathematik¨JohannWolfgangGoetheUniversitatFrankfurtamMain¨Senckenberganlage91160054FrankfurtamMain11GermanySeriesEditor:PaulR.HalmosDepartmentofMathematicsSantaClaraUniversityS
7、antaClara,CA95053USAMathematicsSubjectClassi?cation(1991):00A07LibraryofCongressCataloging-in-PublicationDataEngel,Arthur.Problem-solvingstrategies/ArthurEngel.p.cm.(Problembooksinmathematics)Includesindex.ISBN0-387-98219-1(softcover:alk.paper)1.Problemsolving.I.Title.II.Seri
8、es.QA63.E541997510.76dc2197-10090?1998Springer-VerlagNewYork,Inc.Al
