MATH 55003 — Theory of Functions of a Real Variable I
Real number system, Lebesque measure, Lebesque integral, convergence theorems, differentiation of monotone functions, absolute continuity and the fundamental theorem of calculus L^P spaces, Holder and Minkowski inequalities, and bounded linear functionals on the L^P spaces. Prerequisite: MATH 45203 or MATH 52203 , and graduate standing in mathematics or statistics, or departmental consent. (Typically offered: Fall)
Prerequisites: MATH 45203, MATH 52203