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＜E-Book＞
Lecture Notes in Real Analysis / by Xiaochang Wang
(Compact Textbooks in Mathematics. ISSN:2296455X)

Edition	1st ed. 2018.
Publisher	(Cham : Springer International Publishing : Imprint: Birkhäuser)
Year	2018
Size	XIII, 207 p. 23 illus., 22 illus. in color : online resource
Authors	*Wang, Xiaochang author SpringerLink (Online service)
Subjects	LCSH:Functions of real variables LCSH:Measure theory LCSH:Functional analysis FREE:Real Functions FREE:Measure and Integration FREE:Functional Analysis
Notes	Prologue -- Measures -- Integrations -- Signed Measures and Differentiation -- Topology: A Generalization of Open Sets -- Elements of Functional Analysis -- Lp Spaces This compact textbook is a collection of the author’s lecture notes for a two-semester graduate-level real analysis course. While the material covered is standard, the author’s approach is unique in that it combines elements from both Royden’s and Folland’s classic texts to provide a more concise and intuitive presentation. Illustrations, examples, and exercises are included that present Lebesgue integrals, measure theory, and topological spaces in an original and more accessible way, making difficult concepts easier for students to understand. This text can be used as a supplementary resource or for individual study. HTTP:URL=https://doi.org/10.1007/978-3-319-98956-3

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