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1、IntroductiontoAlgebraThispageintentionallyleftblankIntroductiontoAlgebraSecondEditionPeterJ.CameronQueenMary,UniversityofLondon13GreatClarendonStreet,Oxfordox26dpOxfordUniversityPressisadepartmentoftheUniversityofOxford.ItfurtherstheUniversity’sobjectiveofexcellenceinresearch,scholarship,an
2、deducationbypublishingworldwideinOxfordNewYorkAucklandCapeTownDaresSalaamHongKongKarachiKualaLumpurMadridMelbourneMexicoCityNairobiNewDelhiShanghaiTaipeiTorontoWithofficesinArgentinaAustriaBrazilChileCzechRepublicFranceGreeceGuatemalaHungaryItalyJapanPolandPortugalSingaporeSouthKoreaSwitzerla
3、ndThailandTurkeyUkraineVietnamOxfordisaregisteredtrademarkofOxfordUniversityPressintheUKandincertainothercountriesPublishedintheUnitedStatesbyOxfordUniversityPressInc.,NewYorkcPeterJ.Cameron,2008ThemoralrightsoftheauthorhavebeenassertedDatabaserightOxfordUniversityPress(maker)Firstpublishe
4、d2008Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,withoutthepriorpermissioninwritingofOxfordUniversityPress,orasexpresslypermittedbylaw,orundertermsagreedwiththeappropriatereprographicsrightsorganization.Enquiriesconce
5、rningreproductionoutsidethescopeoftheaboveshouldbesenttotheRightsDepartment,OxfordUniversityPress,attheaddressaboveYoumustnotcirculatethisbookinanyotherbindingorcoverandyoumustimposethesameconditiononanyacquirerBritishLibraryCataloguinginPublicationDataDataavailableLibraryofCongressCatalogi
6、nginPublicationDataDataavailableTypesetbyNewgenImagingSystems(P)Ltd.,Chennai,IndiaPrintedinGreatBritainonacid-freepaperbyBiddlesLtd.,King’sLynn,NorfolkISBN978–0–19–856913–8978–0–19–852793–0(Pbk.)13579108642PrefaceThisneweditionofmyalgebratextbookhasanumberofchanges.Themostsignificantisthatth
7、ebooknowtriestoliveuptoitstitlebetterthanitdidinthepreviousedition:theintroductorychapterhasmorethandoubledinlength,includingbasicmaterialonproofs,numbers,algebraicmanip-ulations,sets,functions,relations,matrices,andpermutations.Ihopethatitisnowaccessibl