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Measure and Integration/ S Kesavan

By: Series: Texts and Readings in Mathematics | Texts and Readings in mathematics ; 77Publication details: New Delhi: HBA, 2019Description: ix, 238 pages; 24 cmISBN:
  • 9789386279774
Subject(s): DDC classification:
  • 23rd 515.42 K42
Contents:
Measure -- The Lebesgue measure -- Measurable functions -- Convergence -- Integration -- Differentiation -- Change of variable -- Product spaces -- Signed measures -- L^p spaces
Summary: This book deals with topics usually studied in a masters or graduate level course on the theory of measure and integration. It starts with the Riemann integral and points out some of its shortcomings which motivate the theory of measure and the Lebesgue integral. There is a separate chapter on the change of variable formula and one on L^p- spaces.
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Measure -- The Lebesgue measure -- Measurable functions -- Convergence -- Integration -- Differentiation -- Change of variable -- Product spaces -- Signed measures -- L^p spaces

This book deals with topics usually studied in a masters or graduate level course on the theory of measure and integration. It starts with the Riemann integral and points out some of its shortcomings which motivate the theory of measure and the Lebesgue integral. There is a separate chapter on the change of variable formula and one on L^p- spaces.

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