A Book of Set Theory

Suitableforupper-levelundergraduates,thisaccessibleapproachtosettheoryposesrigorousbutsimplearguments.Eachdefinitionisaccompaniedbycommentarythatmotivatesandexplainsnewconcepts.Startingwitharepetitionofthefamiliarargumentsofelementarysettheory,thelevelofabstractthinkinggraduallyrisesforaprogressiveincreaseincomplexity.
Ahistoricalintroductionpresentsabriefaccountofthegrowthofsettheory,withspecialemphasisonproblemsthatledtothedevelopmentofthevarioussystemsofaxiomaticsettheory.Subsequentchaptersexploreclassesandsets,functions,relations,partiallyorderedclasses,andtheaxiomofchoice.Othersubjectsincludenaturalandcardinalnumbers,finiteandinfinitesets,thearithmeticofordinalnumbers,transfiniterecursion,andselectedtopicsinthetheoryofordinalsandcardinals.ThisupdatededitionfeaturesnewmaterialbyauthorCharlesC.Pinter.