Prerequisite(s):
MAA 5228 or C.I.
Textbook(s):
W. Rudin, Principles of Mathematical Analysis, 3rd edition
J. Hunter and B. Nachtergaele, Applied Analysis
T. Tao, Analysis Volume II, AMS, 2006
Description:
Topological Spaces, Banach Spaces, Hilbert Spaces, Bounded Linear Operators, Distribution and Fourier Transform, Measure Theory and Function Spaces.