文档介绍：-HALL,UpperSaddleRiver,******@LibraryofCongressCataloginginPublicationDataHerstein,.Herstein.--13-374562-7(),-21470512'.02-dc20CIPAcquisitionEditor:eLobellEditor-in-Chief:JeromeGrantProductionEditor:ElaineWetterau/UniversityGraphics,:JayneConteCoverDesigner:BruceKenselaarCoverPhotograph:CharnleyResidence,©NickMerrick/Hedrich-BlessingManufacturingBuyer:AlanFischerMarketingManager:FrankNicolazzoII©1996Prentice-Hall,Inc.=-Simon&Schuster/pany-UpperSaddleRiver,,inanyformorbyanymeans,©-13-374562-7Prentice-HallInternational(UK)Limited,LondonPrentice-,SydneyPrentice-HallCanadaInc.,TorontoPrentice-HallHispanoamericana,.,MexicoPrentice-HallofIndiaPrivateLimited,NewDelhiPrentice-HallofJapan,Inc.,TokyoSimon&.,SingaporeEditoraPrentice-HalldoBrasil,Ltda.,RiodeJaneiroToBiskaCONTENTSPrefaceix1ThingsFamiliarandLessFamiliar11AFewPreliminaryRemarks12SetTheory33Mappings84A(S)(TheSetof1-1MappingsofSontoItself)plexNumbers322Groups401DefinitionsandExamplesofGroups402SomeSimpleRemarks483Subgroups514Lagrange'roups777TheHomomorphismTheorems848Cauchy'sTheorem889DirectProducts9210FiniteAbelianGroups(Optional)9611ConjugacyandSylow'sTheorem(Optional)position1113OddandEvenPermutations1194RingTheory1251DefinitionsandExamples1252SomeSimpleResults1373Ideals,Homomorphisms,andQuotientRings1394MaximalIdeals1485PolynomialRings1516PolynomialsovertheRationals1667FieldofQuotientsofanIntegralDomain1725Fields1761ExamplesofFields1762ABriefExcursionintoVectorSpaces1803FieldExtensions1914FiniteExtensions1985Constructibility2016RootsofPolynom