02776nam 22006255 450 991025406800332120200706152016.03-319-29046-010.1007/978-3-319-29046-1(CKB)3710000000627494(SSID)ssj0001659450(PQKBManifestationID)16440102(PQKBTitleCode)TC0001659450(PQKBWorkID)14988132(PQKB)10231877(DE-He213)978-3-319-29046-1(MiAaPQ)EBC6312535(MiAaPQ)EBC5589171(Au-PeEL)EBL5589171(OCoLC)945447905(PPN)192774484(EXLCZ)99371000000062749420160316d2016 u| 0engurnn#008mamaatxtccrMeasure and Integration /by Hari Bercovici, Arlen Brown, Carl Pearcy1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (XI, 300 p.)Includes index.3-319-29044-4 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. .Measure theoryFunctions of real variablesMeasure and Integrationhttps://scigraph.springernature.com/ontologies/product-market-codes/M12120Real Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12171Measure theory.Functions of real variables.Measure and Integration.Real Functions.515.42Bercovici Hariauthttp://id.loc.gov/vocabulary/relators/aut54415Brown Arlenauthttp://id.loc.gov/vocabulary/relators/autPearcy Carlauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254068003321Measure and Integration2039112UNINA