Lectures on Measure and Integration

Nonfiction, Science & Nature, Mathematics
Cover of the book Lectures on Measure and Integration by Harold Widom, Dover Publications
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Author: Harold Widom ISBN: 9780486816593
Publisher: Dover Publications Publication: October 21, 2016
Imprint: Dover Publications Language: English
Author: Harold Widom
ISBN: 9780486816593
Publisher: Dover Publications
Publication: October 21, 2016
Imprint: Dover Publications
Language: English

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.

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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.

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