Cornell Math - MATH 612, Spring 2004
MATH 612: Complex Analysis (Spring 2004)
Instructor: Clifford Earle
MATH 612 is a graduate-level first course in complex analysis. MATH 611 is not a prerequisite, nor is an undergraduate course in complex analysis. (Of course, familiarity with the representation of complex numbers as points in the Euclidean plane and with the complex power series for the exponential function would be helpful.)
The course content will consist of portions of Chapters 10-14 of Rudin's "Real and Complex Analysis", plus an introduction to Riemann surfaces. A complete downloadable set of lecture notes will be available on the course web page.
Rudin's "Real and Complex Analysis" is the recommended textbook and will be the source of many homework problems. That book will be on reserve in the Math Library, as will the third edition of Ahlfors's "Complex Analysis'' and the book "Complex Variables, an Introduction'' by Berenstein and Gay.