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Lectures on Measure and Integration
These well-known and concise lecture notes present the fundamentals of the Lebesgue theory of integration and an introduction to some of the theory's applications. Suitable for advanced undergraduates and graduate students of mathematics, the treatment also covers topics of interest to practicing analysts.
Author Harold Widom emphasizes the construction and properties of measures in general and Lebesgue measure in particular as well as the definition of the integral and its main properties. The notes contain chapters on the Lebesgue spaces and their duals, differentiation of measures in Euclidean space, and the application of integration theory to Fourier series.
Author Harold Widom emphasizes the construction and properties of measures in general and Lebesgue measure in particular as well as the definition of the integral and its main properties. The notes contain chapters on the Lebesgue spaces and their duals, differentiation of measures in Euclidean space, and the application of integration theory to Fourier series.
Reprint of the Van Nostrand Reinhold Co., New York, 1969 edition.
mathematical studies;integrals;non negative functions;single variables;lebesgue spaces;differentiation of measures;euclidean space;fourier series;graphs;areas;probability theory;real analysis;mathematical sciences;mathematics;complex analysis;lebesgue theory of integration;definition of the integral;geometry$14.95
Lectures on Measure and Integration—
$14.95
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Description
These well-known and concise lecture notes present the fundamentals of the Lebesgue theory of integration and an introduction to some of the theory's applications. Suitable for advanced undergraduates and graduate students of mathematics, the treatment also covers topics of interest to practicing analysts.
Author Harold Widom emphasizes the construction and properties of measures in general and Lebesgue measure in particular as well as the definition of the integral and its main properties. The notes contain chapters on the Lebesgue spaces and their duals, differentiation of measures in Euclidean space, and the application of integration theory to Fourier series.
Author Harold Widom emphasizes the construction and properties of measures in general and Lebesgue measure in particular as well as the definition of the integral and its main properties. The notes contain chapters on the Lebesgue spaces and their duals, differentiation of measures in Euclidean space, and the application of integration theory to Fourier series.
Reprint of the Van Nostrand Reinhold Co., New York, 1969 edition.
mathematical studies;integrals;non negative functions;single variables;lebesgue spaces;differentiation of measures;euclidean space;fourier series;graphs;areas;probability theory;real analysis;mathematical sciences;mathematics;complex analysis;lebesgue theory of integration;definition of the integral;geometry
