02972nam 2200625Ia 450 991101972150332120200520144314.09786613306197978128330619512833061909781118032732111803273X97811180309811118030982(CKB)2550000000056640(OCoLC)761321855(CaPaEBR)ebrary10504241(SSID)ssj0000555020(PQKBManifestationID)11939882(PQKBTitleCode)TC0000555020(PQKBWorkID)10517302(PQKB)10938578(MiAaPQ)EBC3058523(PPN)199460906(Perlego)2763153(EXLCZ)99255000000005664019970226d1998 uy 0engurcn|||||||||txtccrLebesgue measure and integration an introduction /Frank BurkNew York Wileyc19981 online resource (314 p.) Pure and applied mathematicsBibliographic Level Mode of Issuance: Monograph9780471179788 0471179787 Includes bibliographical references and index.A superb text on the fundamentals of Lebesgue measure and integration. This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on only the most fundamental concepts, namely Lebesgue measure for R and Lebesgue integration for extended real-valued functions on R. Starting with a thorough presentation of the preliminary concepts of undergraduate analysis, this book covers all the important topics, including measure theory, measurable functions, and integration. It offers an abundance of support materials, including helpful illustrations, examples, and problems. To further enhance the learning experience, the author provides a historical context that traces the struggle to define "area" and "area under a curve" that led eventually to Lebesgue measure and integration. Lebesgue Measure and Integration is the ideal text for an advanced undergraduate analysis course or for a first-year graduate course in mathematics, statistics, probability, and other applied areas. It will also serve well as a supplement to courses in advanced measure theory and integration and as an invaluable reference long after course work has been completed. Pure and applied mathematics (John Wiley & Sons : Unnumbered)Lebesgue integralMeasure theoryLebesgue integral.Measure theory.515/.42Burk Frank253701MiAaPQMiAaPQMiAaPQBOOK9911019721503321Lebesgue measure and integration625407UNINA