LEADER 02972nam 2200625Ia 450 001 9911019721503321 005 20200520144314.0 010 $a9786613306197 010 $a9781283306195 010 $a1283306190 010 $a9781118032732 010 $a111803273X 010 $a9781118030981 010 $a1118030982 035 $a(CKB)2550000000056640 035 $a(OCoLC)761321855 035 $a(CaPaEBR)ebrary10504241 035 $a(SSID)ssj0000555020 035 $a(PQKBManifestationID)11939882 035 $a(PQKBTitleCode)TC0000555020 035 $a(PQKBWorkID)10517302 035 $a(PQKB)10938578 035 $a(MiAaPQ)EBC3058523 035 $a(PPN)199460906 035 $a(Perlego)2763153 035 $a(EXLCZ)992550000000056640 100 $a19970226d1998 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLebesgue measure and integration $ean introduction /$fFrank Burk 210 $aNew York $cWiley$dc1998 215 $a1 online resource (314 p.) 225 1 $aPure and applied mathematics 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9780471179788 311 08$a0471179787 320 $aIncludes bibliographical references and index. 330 8 $aA superb text on the fundamentals of Lebesgue measure and integration. This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on only the most fundamental concepts, namely Lebesgue measure for R and Lebesgue integration for extended real-valued functions on R. Starting with a thorough presentation of the preliminary concepts of undergraduate analysis, this book covers all the important topics, including measure theory, measurable functions, and integration. It offers an abundance of support materials, including helpful illustrations, examples, and problems. To further enhance the learning experience, the author provides a historical context that traces the struggle to define "area" and "area under a curve" that led eventually to Lebesgue measure and integration. Lebesgue Measure and Integration is the ideal text for an advanced undergraduate analysis course or for a first-year graduate course in mathematics, statistics, probability, and other applied areas. It will also serve well as a supplement to courses in advanced measure theory and integration and as an invaluable reference long after course work has been completed. 410 0$aPure and applied mathematics (John Wiley & Sons : Unnumbered) 606 $aLebesgue integral 606 $aMeasure theory 615 0$aLebesgue integral. 615 0$aMeasure theory. 676 $a515/.42 700 $aBurk$b Frank$0253701 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911019721503321 996 $aLebesgue measure and integration$9625407 997 $aUNINA