Mth 513 Introduction to Real Analysis III
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 third course in a sequence of three:
Mth 511,
Mth 512 and
Mth 513 which must be taken in sequence.
Slash Listed Courses
Also offered for undergraduate-level credit as
Mth 413 and may be taken only once for credit.