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【内容】
themaintopicsofthisbookareconvergenceandtopologization.integrationonacompactintervalonthereallineistreatedwithriemanniansumsforvariousintegrationbases.generalresultsarespecifiedtoaspectrumofintegrations,includinglebesgueintegration,thedenjoyintegrationintherestrictedsense,theintegrationsintroducedbypfefferandbybongiorno,andmanyothers.morever,somerelationsbetweenintegrationanddifferentiationaremadeclear.
thebookisself-contained.itisofinteresttospecialistsinthefieldofrealfunctions,anditcanalsobereadbystudents,sinceonlythebasicsofmathematicalanalysisandvectorspacesarerequired.
thebookisself-contained.itisofinteresttospecialistsinthefieldofrealfunctions,anditcanalsobereadbystudents,sinceonlythebasicsofmathematicalanalysisandvectorspacesarerequired.
【目录】
Preface
0. Introduction
1. Basic concepts and properties of y-integration
2. Convergence
3. Convergence and locally convex spaces
4. An auxiliary locally convex space
5. τ-integration
6. M-integration
7. Noncompleteness
8. S-integration
9. Rintegration
10. An extension of the concept of y-integration
11. Differentiation and integration
References
List of symbols
Index
0. Introduction
1. Basic concepts and properties of y-integration
2. Convergence
3. Convergence and locally convex spaces
4. An auxiliary locally convex space
5. τ-integration
6. M-integration
7. Noncompleteness
8. S-integration
9. Rintegration
10. An extension of the concept of y-integration
11. Differentiation and integration
References
List of symbols
Index
