18.112 Functions of a Complex Variable, Fall 2005

The basic properties of functions of one complex variable. Cauchy's theorem, holomorphic and meromorphic functions, residues, contour integrals, conformal mapping. Infinite series and products, the gamma function, the Mittag-Leffler theorem. Harmonic functions, Dirichlet's problem.

Bibliographic Details
Main Author: Helgason, Sigurdur, 1927-
Language:en-US
Published: 2005
Subjects:
Online Access:http://hdl.handle.net/1721.1/37301
Description
Summary:The basic properties of functions of one complex variable. Cauchy's theorem, holomorphic and meromorphic functions, residues, contour integrals, conformal mapping. Infinite series and products, the gamma function, the Mittag-Leffler theorem. Harmonic functions, Dirichlet's problem.