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221A Winter 2020


Instructor: Peter Ebenfelt

Office: APM 6161, Tel. (858) 822-4961

Email: pebenfelt [at] ucsd .edu

Lectures: MWF 11-11:50, APM 5402

Office hours: M 11-12 am


COURSE DESCRIPTION

Complex numbers and functions. Cauchy theorem and its applications, calculus of residues, expansions of analytic functions, analytic continuation, conformal mapping and Riemann mapping theorem, harmonic functions. Dirichlet principle, Riemann surfaces;

Prerequisites: Undergraduate analysis and Math 220A (or equivalent)

Text Book: Introduction to complex analysis in several variables by L. Hormander, but text book is not necessarily needed. Lecture notes will be provided.


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