2015 | OriginalPaper | Buchkapitel
Lebesgue Theory
verfasst von : Charles C. Pugh
Erschienen in: Real Mathematical Analysis
Verlag: Springer International Publishing
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This chapter presents a geometric theory of Lebesgue measure and integration. In calculus you certainly learned that the integral is the area under the curve. With a good definition of area that is the point of view I advance here. Deriving the basic theory of Lebesgue integration then becomes a matter of inspecting the right picture. See Appendix E for the geometric relation between Riemann integration and Lebesgue integration.