02773nam 22005655 450 991030012200332120200704065121.03-319-98956-110.1007/978-3-319-98956-3(CKB)4100000007158931(DE-He213)978-3-319-98956-3(MiAaPQ)EBC6314366(PPN)232472165(EXLCZ)99410000000715893120181121d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierLecture Notes in Real Analysis /by Xiaochang Wang1st ed. 2018.Cham :Springer International Publishing :Imprint: Birkhäuser,2018.1 online resource (XIII, 207 p. 23 illus., 22 illus. in color.) Compact Textbooks in Mathematics,2296-45683-319-98955-3 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. .Compact Textbooks in Mathematics,2296-4568Functions of real variablesMeasure theoryFunctional analysisReal Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12171Measure and Integrationhttps://scigraph.springernature.com/ontologies/product-market-codes/M12120Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Functions of real variables.Measure theory.Functional analysis.Real Functions.Measure and Integration.Functional Analysis.515Wang Xiaochangauthttp://id.loc.gov/vocabulary/relators/aut767835MiAaPQMiAaPQMiAaPQBOOK9910300122003321Lecture Notes in Real Analysis1563638UNINA