0301711 Real Analysis 3 Credit Hors.
Course Description :Lebesgue measure: outer measure, measurable sets and functions, Egoroff's  theorem,  Lusin's  theorem,  convergence  in  measure,  the Lebesgue integral: the integral of a bounded function over  a set of finite measure, the integral of a nonnegative function, the general Lebesgue integral, Riemann and Lebesgue integrals, differentiation: differentiation of monotone functions, functions of bounded variation, differentiation of an integral, absolute continuity, Lp classes: the Holder and Minkowski inequalities, completeness of Lp classes, the duals of Lp classes, Banach spaces: linear operators, the Hahn-Banach theorem and other basic results, Hilbert spaces.
Department :Mathematics
Program :Masters In Mathematics
Course Level :Master
Course Outline :