Lectures on measure and integration.
Material type: TextSeries: Van Nostrand mathematical studies #20Publication details: New York, Van Nostrand Reinhold Co. [c1969]Description: viii, 166 pISBN: 9780486810287Subject(s): Measure theory | Integrals, GeneralizedDDC classification: 517.3 Summary: 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.Item type | Current library | Call number | Status | Date due | Barcode |
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BK | Stack | 517.3 WID/L (Browse shelf (Opens below)) | Available | 56723 |
Browsing Kannur University Central Library shelves, Shelving location: Stack Close shelf browser (Hides shelf browser)
516.9 BRA/L Lobachevski Illuminated | 517.2 HAL/D differential and integral calculus with applications | 517.27 AND/G Geometric problems on maxima and minima | 517.3 WID/L Lectures on measure and integration. | 517.382 AGA/I Introduction to ordinary differential equations | 517.52 GOR/R Real analysis: a first course | 517.6 GER//A Applied numerical analysis |
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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