Real Analysis

**Instructor:**Ilie Grigorescu**Office:**Ungar 411**Phone:**(305) 284-2146**email:**igrigore@math.miami.edu**Home page:**www.math.miami.edu/~igrigore**Office Hours:**MW ..... and by appointment.**Class Hours:**MWF 11:15-12:05 in Ungar 402

**Text:**

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

**Additional reading:***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.

**Description:**

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.

**Prerequisites:**MTH 533/633-MTH534/634.

**Grading policy:**

Homework (40%), Midterm (20%) and Final (40%)

**General rules / information:**- 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.

**Homework 1**Solutions Homework 1

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