02760nam 22005655 450 991029976800332120200630023716.03-319-15365-X10.1007/978-3-319-15365-0(CKB)3710000000436804(SSID)ssj0001558588(PQKBManifestationID)16183571(PQKBTitleCode)TC0001558588(PQKBWorkID)14819016(PQKB)10445430(DE-He213)978-3-319-15365-0(MiAaPQ)EBC5578329(PPN)186398026(EXLCZ)99371000000043680420150624d2015 u| 0engurnn|008mamaatxtccrMeasure and Integral /by Martin Brokate, Götz Kersting1st ed. 2015.Cham :Springer International Publishing :Imprint: Birkhäuser,2015.1 online resource (VII, 172 p. 24 illus.) Compact Textbooks in Mathematics,2296-4568Bibliographic Level Mode of Issuance: Monograph3-319-15364-1 Includes bibliographical references and index.Preface -- 1 Introduction -- 2 Measurability -- 3 Measures -- 4 The Integral of Nonnegative Functions -- 5 Integrable Functions -- 6 Convergence -- 7 Uniqueness and Regularity of Measures -- 8 Multiple Integrals and Product Measures -- 9 Absolute Continuity -- 10 The Transformation Formula of Jacobi -- 11 Construction of Measures -- 12 Hilbert Spaces -- 13 Banach Spaces -- Literature.The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presents additional results which establish connections to other areas of mathematics. The arrangement of the material should allow the adoption of this textbook in differently composed Bachelor programmes.Compact Textbooks in Mathematics,2296-4568Measure theoryMeasure and Integrationhttps://scigraph.springernature.com/ontologies/product-market-codes/M12120Measure theory.Measure and Integration.515.42Brokate Martinauthttp://id.loc.gov/vocabulary/relators/aut27707Kersting Götzauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299768003321Measure and Integral2544373UNINA