Mth 413 Introduction to Real Analysis III

Sequences and series of functions; Lebesgue measure and integration; the Stone-Weierstrass and Baire category theorems; Fourier Series; elements of functional analysis. This is the third course in a sequence of three: Mth 411, Mth 412 and Mth 413 which must be taken in sequence. Also offered for graduate-level credit as Mth 513 and may be taken only once for credit.