Bartle, Robert G. The elements of integration and Lebesgue measure. (English) Zbl 0838.28001 Wiley Classics Library. New York, NY: John Wiley & Sons. x, 179 p. (1995). This introduction to measure and integration is a revised version of a book which has been first published in 1966 (Zbl 0146.28201). It consists of two parts, namely, a concise representation of basic notions and results concerning integration theory in the sense of Lebesgue and another part about the Lebesgue measure including the higher dimensional case. The reader will appreciate that in addition to the argument based on cardinalities a proof based on Lebesgue’s singular function is given for the existence of a Lebesgue measurable set which is not a Borel set. Reviewer: D.Plachky (Münster) Cited in 1 ReviewCited in 61 Documents MSC: 28-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration 28A12 Contents, measures, outer measures, capacities 28A25 Integration with respect to measures and other set functions Keywords:integration; Lebesgue measure Citations:Zbl 0146.28201 PDFBibTeX XMLCite \textit{R. G. Bartle}, The elements of integration and Lebesgue measure. New York, NY: John Wiley \& Sons (1995; Zbl 0838.28001)