Analysis (410-1-71)

Instructors

Rachel Greenfeld

Meeting Info

Lunt Hall 103: Mon, Wed, Fri 1:00PM - 1:50PM

Overview of class

First and Second Quarters: Real analysis. Topological spaces, metric spaces. Lebesque measure and integration. Function spaces, including Banach and Hilbert spaces. Elementary functional analysis. Weak convergence. Third Quarter: Complex analysis. Holomorphic functions, Cauchy's theorem, power series, harmonic functions, conformal mapping, analytic continuation.

Class Materials (Required)

9780691113869
Real Analysis: Measure Theory, Integration, and Hilbert Spaces
by Stein, Elias M. / Shakarchi, Rami
INGRAM PUB

Class Materials (Suggested)

No suggested materials. See suggested materials

Enrollment Requirements

Enrollment Requirements: Reserved for Mathematics graduate students