LEADER 02715nam 22005295 450 001 9910350248103321 005 20200704173055.0 010 $a981-13-6678-0 024 7 $a10.1007/978-981-13-6678-9 035 $a(CKB)4100000007702173 035 $a(MiAaPQ)EBC5927815 035 $a(DE-He213)978-981-13-6678-9 035 $a(PPN)235001511 035 $a(EXLCZ)994100000007702173 100 $a20190225d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMeasure and Integration /$fby S. Kesavan 205 $a1st ed. 2019. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2019. 215 $a1 online resource (253 pages) 225 1 $aTexts and Readings in Mathematics,$x2366-8717 311 $a981-13-6679-9 320 $aIncludes bibliographical references and index. 327 $aChapter 1. Measure -- Chapter 2. The Lebesgue measure -- Chapter 3. Measurable functions -- Chapter 4. Convergence -- Chapter 5. Integration -- Chapter 6. Differentiation -- Chapter 7. Change of variable -- Chapter 8. Product spaces -- Chapter 9. Signed measures -- Chapter 10. Lp spaces. 330 $aThis book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the n-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integration. 410 0$aTexts and Readings in Mathematics,$x2366-8717 606 $aMeasure theory 606 $aFunctional analysis 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 615 0$aMeasure theory. 615 0$aFunctional analysis. 615 14$aMeasure and Integration. 615 24$aFunctional Analysis. 676 $a515.42 700 $aKesavan$b S$4aut$4http://id.loc.gov/vocabulary/relators/aut$0624784 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910350248103321 996 $aMeasure and Integration$92507545 997 $aUNINA