Measure and Integral

Volume 1

AvJohn L. Kelley,T.P. Srinivasan

Inbunden, Engelska, 1987

Del 116 i serien Graduate Texts in Mathematics

536 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Häftad

536 kr

Beskrivning

This book is a systematic exposition of the theory of measure and integration. It is intendend for students, and also as a reference work. The body of the text can be read by a student with a firm background in analysis, whereas the supplements treat more advanced topics, and require somewhat more maturity. Although the results given here are the standard ones, the authors have taken a new approach, systematically exploiting the concepts of -ring and -simplicity.

Produktinformation

Utgivningsdatum:1987-12-17
Mått:156 x 234 x 14 mm
Vikt:418 g
Format:Inbunden
Språk:Engelska
Serie:Graduate Texts in Mathematics
Antal sidor:150
Förlag:Springer-Verlag New York Inc.
ISBN:9780387966335

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

0: Preliminaries.- Sets.- Functions.- Countability.- Orderings and Lattices.- Convergence in ?*.- Unordered Summability.- Hausdorff Maximal Principle.- 1: Pre-Measures.- Supplement: Contents.- Supplement: G Invariant Contents.- Supplement: Carathéodory Pre-Measures.- 2: Pre-Measure to Pre-Integral.- Supplement: Volume ?n;The Iterated Integral.- Supplement: Pre-Integrals on Cc(X) and C0(X).- 3: Pre-Integral to Integral.- 4: Integral to Measure.- Supplement: Lebesgue Measure ?n for ?n.- Supplement: Measures on B?(X).- Supplement: G Invariant Measures.- 5: Measurability and ?-Simplicity.- Supplement: Standard Borel Spaces.- 6: The Integral I? on L1(?).- Supplement: Borel Measures and Positive Functionals.- 7: Integrals* and Products.- Supplement: Borel Product Measure.- 8: Measures* and Mappings.- Supplement: Stieltjes Integration.- Supplement: The Image of ?p Under a Smooth Map 100 Supplement: Maps of Borel Measures*; Convolution.- 9: Signed Measures and Indefinite Integrals.- Supplement: Decomposable Measures.- Supplement: Haar Measure.- 10: Banach Spaces.- Supplement: The Spaces C0(X)* and L1(?)*.- Supplement: Complex Integral and Complex Measure.- Supplement: The Bochner Integral.- Selected References.