SetTheory(LondonMathematicalSocietyStudentTexts)

Thisisaclassicintroductiontosettheoryinthreeparts.Thefirstpartgivesageneralintroductiontosettheory,suitableforundergraduates;completeproofsaregivenandnobackgroundinlogicisrequired.Exercisesareincluded,andthemoredifficultonesaresuppliedwithhints.Anappendixtothefirstpartgivesamoreformalfoundationtoaxiomaticsettheory,supplementingtheintuitiveintroductiongiveninthefirstpart.Thefinalpartgivesanintroductiontomoderntoolsofcombinatorialsettheory.Thispartcontainsenoughmaterialforagraduatecourseofoneortwosemesters.Thesubjectsdiscussedincludestationarysets,deltasystems,partitionrelations,setmappings,measurableandreal-valuedmeasurablecardinals.Twosectionsgiveanintroductiontomodernresultsonexponentiationofsingularcardinals,andcertaindeeperaspectsofthetopicsaredevelopedinadvancedproblems.