NumbersandFunctions:StepstoAnalysis

Thetransitionfromstudyingcalculusinschoolstostudyingmathematicalanalysisatuniversityisnotoriouslydifficult.InthisneweditionofNumbersandFunctions,DrBurninvitesthestudentreadertotackleeachofthekeyconceptsinturn,progressingfromexperiencethroughastructuredsequenceofseveralhundredproblemstoconcepts,definitionsandproofsofclassicalrealanalysis.Thesequenceofproblems,whichallhavesolutionssupplied,drawsstudentsintoconstructingdefinitionsandtheoremsforthemselves.Thisnaturaldevelopmentisinformedandcomplementedbyhistoricalinsight.Thenovelapproachtorigorousanalysisofferedhereisdesignedtoenablestudentstogrowinconfidenceandskillandthusovercomethetraditionaldifficulties.