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＜電子ブック＞
Measure and Integration / by Hari Bercovici, Arlen Brown, Carl Pearcy

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
大きさ	XI, 300 p : online resource
著者標目	*Bercovici, Hari author Brown, Arlen author Pearcy, Carl author SpringerLink (Online service)
件　名	LCSH:Measure theory LCSH:Functions of real variables FREE:Measure and Integration FREE:Real Functions
一般注記	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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