Real Analysis II : Math 624
Meeting : TuTh 9:30--10:45 LGRT 1322
Instructor : Luc Rey-Bellet
Office : 1423 J LGRT
Phone : 545-6020
E-Mail : email@example.com
Office Hours :
TuTh 2:45--3:45, or by appointment.
Text: The text book for the class is the two-volume set
Other very useful references for this class are
Real Analysis. Measure Theory, Integration & Hilbert Spaces,
by E. M. Stein & R. Shakarchi. Princeton Lecture Notes in Analysis III, Princeton University
Functional Analysis. Introduction to Further Topics in Analysis,
by E. M. Stein & R. Shakarchi. Princeton Lecture Notes in Analysis IV, Princeton University
Two undergraduate analysis texts for further references
Real Analysis: Modern Techniques and their applications,
by G.B. Folland. 2nd ed. Wiley 1999.
Real Analysis, by H.L. Royden. 3rd ed. Collier Macmillan 1988
Measure and Integral: An Introduction to Real Analysis,
by R.L. Wheeden and A. Zygmund. M Dekker 1977.
Real and Abstract Analysis,
by E. Hewitt and K. Stromberg. Graduate Text in Mathematics. Springer.
Analysis by its History,
by E. Hairer and G. Wanner. Undergraduate Texts in Mathematics. Springer 2008.
The Way of Analysis,
by R.S. Strichartz, Jones & Bartlett Learning 2000.
This is the second part of a 2-semester introduction to real analysis
(Math 623-624). The prerequisites for this class is Math 623 or equivalent. Among the topics covered in this class are
1) Fourier Analysis: Fourier Series and Fourier Transform.
2) Abstract measure theory. Integration, Fubini theorem, Absolute continuity and the Radon-Nykodym theorem.
3) Banach spaces and L^p space theory.
Grade: There will be a midterm and a final.
Homework will be assigned regularly and graded.
Homework #1 (due on 2/14 ):
HWK #1 PDF file
Homework #2 (due on 2/28 ):
HWK #2 PDF file
Homework #3 (due on 3/15):
HWK #3 PDF file
Homework #4 (due on 4/12 ):
HWK #4 PDF file
Homework #5 (due on 5/1):
HWK #5 PDF file