Graduate Course Description
| Course Title: | Real Analysis |
| Unique Number: | M381C (57575) |
| Time/Location of Lecture: | MWF 12 noon - 1 pm, RLM 12.166 |
| Instructor: | Prof. Hans Koch |
Brief description: We plan to cover much of Chapters 1-10 in the Wheeden-Zygmund book, and maybe Sobolev inequalities. This includes the topics listed on the Preliminary Exam Syllabus in Real Analysis.
Textbook: R.L. Wheeden, A. Zygmund, Measure and Integral, Taylor & Francis, New York, 1977.
Some Other References:
G.B. Folland, Real Analysis, John Wiley, New York, 1999.
H.L. Royden, Real Analysis, MacMillan, New York, 1988.
W. Rudin, Real and Complex Analysis, McGraw-Hill, New York, 1987.
E.M. Stein, R. Shakarchi, Real Analysis: Measure Theory, Integration, and Hilbert Spaces, Princeton University Press, 2005.
Some online:
B.K. Driver,
Measure Theory (Lecture Notes), 2000.
D.H. Sattinger,
Measure Theory & Integration, 2004.
R.F. Bass,
Real Analysis for Graduate Students: Measure and Integration, 2011.
W.P. Ziemer,
Modern Real Analysis.
P. Cannarsa, T. D'Aprile,
Lecture Notes on Measure Theory and Functional Analysis, 2007.
J.K. Hunter,
Measure Theory, 2011.
Prerequisites: Familiarity with the subject matter of the undergraduate analysis course M365C, a syllabus of which can be found at the end of this page
Consent of Instructor not required
First Day Handout: Here
Homework: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14.
Old Exams, Fall 2012: 1, 2, 3
Basics about metric spaces: Notes here