Mth 512 Introduction to Real Analysis II

Analysis on metric spaces, Baire Category, Contraction Mapping, and Stone-Weierstrass theorems. Lebesgue measure and integration theory, functions of bounded variation, absolutely continuous functions. Banach and Hilbert spaces. Bases and duality on Hilbert spaces, linear operators on Banach spaces. Introduction to Fourier series. This is the second course in a sequence of three: Mth 511, Mth 512 and Mth 513 which must be taken in sequence.

Credits

3

Slash Listed Courses

Also offered for undergraduate-level credit as Mth 412 and may be taken only once for credit.

Prerequisite

Mth 511.