School of Science - Department of Mathematics

0301711Real Analysis

• 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.
• Pre Request : None
• Credit Hour :3
• Department : Mathematics
• Program :
• Course Level :Master
• Course Outline :

  0301711 Syllabus.pdf