00000cam a22000003i 4500 UP-1685594773861985799 Buklod 20150324140100.0 g||| | || || ta 150324s2014 xx r |||| u|eng d 9789814578509 (pbk) (iLib)UPBAG-00016530973 BC-65607 Belview Php5,265.00 Juancho Collera DLC BAG rda eng QA 312 Y43 2014 Yeh, J (James) author. Problems and proofs in real analysis theory of measure and integration J Yeh. Singapore World Scientific Publishing Co. Pte. Ltd. ©2014. viii, 491 pages 23 cm. Companion volume to: Real analysis : theory of measure and integration (3rd ed.). Intended as a self-study volume. Measure on a σ -algebra of sets -- Outer measures -- Lebesgue measure on R -- Measurable functions -- Completion of measure space -- Convergence a.e. and convergence in measure -- Integration of bounded functions on sets of finite measure -- Integration of nonnegative functions -- Integration of measurable functions -- Signed measures -- Absolute continuity of a measure -- Monotone functions and functions of bounded variation -- Absolutely continuous functions -- The L^p spaces -- Relation among the L^p spaces -- Bounded linear functionals on the L^p spaces -- Lebesgue-stieltjes measure spaces -- Product measure spaces -- Lebesgue measure space on the euclidean space -- Differentiation on the euclidean space. Mathematical analysis Study and teaching. Measure theory Study and teaching. Yeh, J (James). Real analysis. FO UPBAG UPBAG-MAIN QA 312 Y43 2014 Book