An Introduction to Integration and Measure Theory by Ole A. Nielsen (English) Ha

Description: An Introduction to Integration and Measure Theory by Ole A. Nielsen 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher 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. Author Biography Ole A. Nielsen is the author of An Introduction to Integration and Measure Theory, published by Wiley. 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 Fubinis 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. Feature Provides a thorough treatment of integration and measure theory. Contains many exercises. Details ISBN0471595187 Language English ISBN-10 0471595187 ISBN-13 9780471595182 Media Book Format Hardcover DEWEY 515.4 Year 1997 Place of Publication New York Country of Publication United States Illustrations index Pages 496 Edition 1st Short Title INTRO TO INTEGRATION & MEASURE DOI 10.1604/9780471595182 Series Number 17 UK Release Date 1997-02-07 AU Release Date 1997-01-11 NZ Release Date 1997-01-11 Author Ole A. Nielsen Publisher John Wiley & Sons Inc Series Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts Publication Date 1997-02-07 Imprint Wiley-Interscience Audience Undergraduate US Release Date 1997-02-07 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:126566102;

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