Real Analysis (An Epsilon of Room, I)

This text, derived from third-year postings from Terence Tao's blog, presents a second graduate course in real analysis in a writing style that is accessible and enlightening. Topics include fundamentals of functional analysis, point-set topology, abstract harmonic analysis, and the theory of Sobolev spaces and distributions. The writing provides not only tools of analysis, but also insight into how to think about mathematics.