School of Science - Department of Mathematics

( 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.
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• Department : Mathematics
• Program :
• Course Level :Master
• Course Outline :

  0301711 New.pdf