Math 623 -- Complex Analysis
Assignment 10. Due Friday, December 14.
A midterm exam is scheduled Friday, November 30, in class.
Review problems .
Assignment 9. Due Wednesday, November 28.
Assignment 8. Due Wednesday, November 14.
Assignment 7. Due Monday, November 5.
Assignment 6. Due Monday, October 29.
A midterm exam is scheduled Wednesday, October 17, in class.
Review problems .
Assignment 5. Due Friday, October 12.
Assignment 4. Due Friday, October 5.
Assignment 3. Due Wednesday, September 26.
Assignment 2. Due Friday, September 21.
Assignment 1. Due Wednesday, September 12.
Instructor: Andreas Seeger
Classes: MWF, 2:25-3:15 p.m., Van Vleck B 115.
This is a introductory course in complex analysis.
It is targeted at
advanced undergraduate and beginning graduate students.
By Elias M. Stein and Rami Shakarchi.
Princeton University Press.
Errata, released by Princeton University Press.
Comments on the text.
MW 3:15-4:15, and by appointment.
Assignments will be sent by email and posted on this page.
There will be 2 Midterm exams in class, dates TBA.
Final exam: Wednesday, December 19, 10:05-12:05.
The main topic in Math 623 is the basic theory of functions of one
I. Holomorphic functions and power series,
Cauchy's theorem and Cauchy's integral formulas, maximum principle,
sequences of holomorphic functions and normal families,
Schwarz reflection principle, Runge's approximation theorem,
meromorphic functions, argument principle and applications,
homotopies and simply connected domains, the logarithm,
Fourier series and harmonic functions,
elementary theory of conformal mappings, Schwarz lemma,
Riemann mapping theorem, series and products (Mittag-Leffler theorem,
Weierstrass products), ... .
II. We will have to choose among several possible additional topics:
(i) The Laplace and Fourier transforms
(ii) The Gamma and Zeta functions and the prime number theorem.
Classical topics in complex function theory, by Reinhold Remmert.
Translated from the German by Leslie Kay. Graduate Texts in Mathematics, 172.
Springer-Verlag, New York, 1998. ISBN 0-387-98221-3
Complex analysis, by Theodore W. Gamelin
Undergraduate Texts in Mathematics.
Springer-Verlag, New York, 2001. ISBN 0-387-95093-1; 0-387-95069-9