Real Analysis: Modern Techniques and Their Applications
by Gerald B. Folland.
Wiley; 2nd edition (May 1, 2007) ISBN-13: 978-0471317166 and ISBN-10: 0471317160. Publisher's page
Real and Complex Analysis (Higher Mathematics Series) 3rd Edition by Walter Rudin; McGraw-Hill Education; 3 edition (May 1, 1986).
Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis) (Book 3) First Edition Edition by Elias M. Stein and Rami Shakarchi
Analysis American Mathematical Society; 2 edition (March 21, 2001), (Graduate Studies in Mathematics) 2nd Edition by Elliott H. Lieb and Michael Loss.
MTH733 - MTH734 Real Analysis is a two semester
analysis course introducing measure theoretic integration theory, L^P spaces, point-set topology,
elements of functional analysis, Fourier analysis, distribution theory and Sobolev spaces.
Homework (40%), Midterm (20%) and Final (40%)
- check this page for updates.
- make sure that you have access to the UM listserv (email list via Blackboard) for this class
- you must show your work in order to obtain credit.