An introduction to integration and measure theory
Author(s)
Bibliographic Information
An introduction to integration and measure theory
（Canadian Mathematical Society series of monographs and advanced texts）
J. Wiley, c1997
- : cloth
Available at / 20 libraries
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: cloth515.4/N5542070429395
-
No Libraries matched.
- Remove all filters.
Note
"A Wiley-Interscience publication."
Includes indexes
Description and Table of Contents
Description
This book describes integration and measure theory for readers interested in analysis, engineering, and economics. It gives a systematic account of Riemann-Stieltjes integration and deduces the Lebesgue-Stieltjes measure from the Lebesgue-Stieltjes integral.
Table of Contents
LIMITATIONS OF THE RIEMANN INTEGRAL.
Limits of Integrals and Integrability.
Expectations in Probability Theory.
RIEMANN-STIELTJES INTEGRALS.
Riemann-Stieltjes Integrals: Introduction.
Characterization of Riemann-Stieltjes Integrability.
Continuous Linear Functionals on C[a,b].
Riemann-Stieltjes Integrals: Further Properties.
LEBESGUE-STIELTJES INTEGRALS.
The Extension of the Riemann-Stieltjes Integral.
Lebesgue-Stieltjes Integrals.
MEASURE THEORY.
sigma-Algebras and Algebras of Sets.
Measurable Functions.
Measures.
Lebesgue-Stieltjes Measures.
THE ABSTRACT LEBESGUE INTEGRAL.
The Integral Associated with a Measure Space.
The Lebesgue Spaces and Norms.
Absolutely Continuous Measures.
Linear Functionals on the Lebesgue Spaces.
Product Measures and Fubini's Theorem.
Lebesgue Integration and Measures on R?n.
Signed Measures and Complex Measures.
Differentiation.
Convergence of Sequences of Functions.
Measures on Locally Compact Spaces.
Hausdorff Measures and Dimension.
Lorentz Spaces.
Appendices.
Indexes.
by "Nielsen BookData"