Registration for Winter term opens Thursday, November 17, 2016.
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Math 110b is our graduate course in complex analysis, the second in the required graduate analysis sequence. Topics include Cauchy's integral theorem (in great generality: contractible rectifiable contours) with applications, some discussion of complex functional analysis (uniform convergence, Vitali, Montel, Hurwitz theorems), conformal maps (linear fractional transformations, the Riemann mapping theorem), the Weierstrass and Mittag-Leffler theorems (representations of entire functions as products, resp. meromorphic functions as sums), and some theory of special functions (the Gamma function, as well as an introduction to elliptic functions). Further topics as time allows will probably include Picard's theorem, Paley-Wiener theorems, global analytic functions and the Poincare metric.
JOHN D. MACARTHUR PROFESSOR OF MATHEMATICS
Grading: Based on homework; no exams.
Homework: There will be four homeworks due roughly every two weeks.
|Friday February 3||HW1|
|Friday February 17||HW2 (scroll down past Homework 1)|
|Friday March 3||HW3 (scroll down past Homework 2)|
|Friday March 17||HW4 (scroll down past Homework 3)|