An Introduction to Integration and Measure Theory
1st Edition
Published on 7. February 1997
Book
Hardback
496 pages
978-0-471-59518-2 (ISBN)
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.
More details
Series
Language
English
Place of publication
United States
Publishing group
John Wiley & Sons Inc
Target group
College/higher education
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 31 mm
Weight
900 gr
ISBN-13
978-0-471-59518-2 (9780471595182)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
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Ole A. Nielsen
An Introduction to Integration and Measure Theory
Online / Databases
03/2011
Wiley
€253.75
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Person
Ole A. Nielsen is the author of An Introduction to Integration and Measure Theory, published by Wiley.
Content
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.
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.