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010   $a3-030-03241-8
024 7 $a10.1007/978-3-030-03241-8
035   $a(CKB)4100000007761733
035   $a(DE-He213)978-3-030-03241-8
035   $a(MiAaPQ)EBC6312381
035   $a(PPN)235006661
035   $a(EXLCZ)994100000007761733
100   $a20190227d2018      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 12$aA Concise Introduction to Measure Theory /$fby Satish Shirali
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (X, 271 p. 17 illus., 1 illus. in color.) 
300   $aIncludes index.
311   $a3-030-03240-X 
327   $aPreface -- 1. Preliminaries -- 2. Measure Space and Integral -- 3. Properties of the Integral -- 4. Construction of a Measure. 5. The Counting Measure -- 6. Product Measures -- 7. Differentiation -- 8. The Cantor Set and Function -- Solutions -- References -- Index.
330   $aThis undergraduate textbook offers a self-contained and concise introduction to measure theory and integration. The author takes an approach to integration based on the notion of distribution. This approach relies on deeper properties of the Riemann integral which may not be covered in standard undergraduate courses. It has certain advantages, notably simplifying the extension to "fuzzy" measures, which is one of the many topics covered in the book. This book will be accessible to undergraduate students who have completed a first course in the foundations of analysis. Containing numerous examples as well as fully solved exercises, it is exceptionally well suited for self-study or as a supplement to lecture courses.
606   $aMeasure theory
606   $aCalculus
606   $aFunctions of real variables
606   $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120
606   $aCalculus$3https://scigraph.springernature.com/ontologies/product-market-codes/M12220
606   $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171
615  0$aMeasure theory.
615  0$aCalculus.
615  0$aFunctions of real variables.
615 14$aMeasure and Integration.
615 24$aCalculus.
615 24$aReal Functions.
676   $a515.42
700   $aShirali$b Satish$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767697
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910311937803321
996   $aConcise Introduction to Measure Theory$91563185
997   $aUNINA