[Charles_Robert_Hadlock]_Field_Theory_and_Its_Classical Problems.pdf

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1、FIELDTHEORYANDITSCLASSICALPROBLEMSByCHARLESROBERTHADLOCKTHECARUSMATHEMATICALMONOGRAPHSPublishedbyTHEMATHEMATICALASSOCIATIONOFAMERICACommitteeonPublicationsE.F.BECKENBACH,ChairmanSubcommitteeonCamsMonographsD.T.FINKBEINERII,ChairmanR.P.BOASARGELIAV.ESQUIRELGE

2、ORGEPIRANIANHECARUSMETHEMATICALMONOGRAPHSareanTexpressionofthedesireofMrs.MaryHegelerCarus,andofherson,Dr.EdwardH.Carus,tocontributetothedisseminationofmathematicalknowledgebymakingaccessibleatnominalcostaseriesofexpositorypresentationsofthebestthoughtsandke

3、enestresearchesinpureandappliedmathemat-ics.ThepublicationofthefirstfourofthesemonographswasmadepossiblebyanotablegifttotheMathematicalAssociationofAmericabyMrs.CarusassoletrusteeoftheEdwardC.HegelerTrustFund.ThesalesfromthesehaveresultedintheCarusMonographF

4、und,andtheMathematicalAssociationhasusedthisasarevolvingbookfundtopublishthesucceedingmonographs.Theexpositionsofmathematicalsubjectswhichthemono-graphscontainaresetforthinamannercomprehensiblenotonlytoteachersandstudentsspecializinginmathematics,butalsotosc

5、ientificworkersinotherfields,andespeciallytothewidecircleofthoughtfulpeoplewho,havingamoderateacquaintancewithelementarymathematics,wishtoextendtheirknowledgewith-outprolongedandcriticalstudyofthemathematicaljournalsandtreatises.Thescopeofthisseriesincludesa

6、lsohistoricalandbiographicalmonographs.Thefollowingmonographshavebeenpublished:No.1.CalculusofVariations,G.A.BLISSNo.2.AnalyticFunctionsofaComplexVariable,byD.R.CURTISSNo.3.MathematicalStatistics,byH.L.RIETZNo.4.ProjectiveGeometry,byJ.W.YOUNGNo.5.AHistoryofM

7、athematicsinAmericabefore1900,byD.E.SMITHandJEKUTHIELGINSBURG(outofprint)No.6.FourierSeriesandOrthogonalPolynominale,byDUNHAMJACKSONNo.7.VectorsandMatrices,byC.C.MACDUFFEENo.8.RingsandIdeals,byΝ.H.McCOYNo.9.TheTheoryofAlgebraicNumbers,Secondedition,byHARRYPO

8、LLARDandHAROLDG.DIAMONDNo.10.TheArithmeticTheoryofQuadraticForms,byB.W.JONESNo.11.IrrationalNumbers,byIVANNIVENNo.12.StatisticalIndependenceinProbability,AnalysisandNumberTheory,byMARKKACNo.13.A