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＜E-Book＞
Measure and Integration / by Hari Bercovici, Arlen Brown, Carl Pearcy

Edition	1st ed. 2016.
Publisher	Cham : Springer International Publishing : Imprint: Springer
Year	2016
Size	XI, 300 p : online resource
Authors	*Bercovici, Hari author Brown, Arlen author Pearcy, Carl author SpringerLink (Online service)
Subjects	LCSH:Measure theory LCSH:Functions of real variables FREE:Measure and Integration FREE:Real Functions
Notes	Rings of sets -- Measurability -- Integrals and Measures -- Convergence Theorems for Lebesgue Integrals -- Existence and Uniqueness of Measures -- Signed Measures, Complex Measures and Absolute Continuity -- Measure and Topology -- Product Measures -- The Lp Spaces -- Fourier Analysis -- Standard Measure Spaces. This book covers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text. Hints are included for some of the more difficult problems. HTTP:URL=https://doi.org/10.1007/978-3-319-29046-1

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