Themaintopicsofthisbookareconvergenceandtopologization.IntegrationonacompactintervalonthereallineistreatedwithRiemanniansumsforvariousintegrationbases.Generalresultsarespecifiedtoaspectrumofintegrations,includingLebesgueintegration,theDenjoyintegrationintherestrictedsense,theintegrationsintroducedbyPfefferandbyBongiorno,andmanyothers.Morever,somerelationsbetweenintegrationanddifferentiationaremadeclear.
Thebookisself-contained.Itisofinteresttospecialistsinthefieldofrealfunctions,anditcanalsobereadbystudents,sinceonlythebasicsofmathematicalanalysisandvectorspacesarerequired.