18.112 Functions of a Complex Variable, Fall 2006

Title:	18.112 Functions of a Complex Variable, Fall 2006
Author:	Helgason, Sigurdur, 1927-
Issue Date:	2006-12
Abstract:	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. From the course home page: Course Description This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I (18.100B) is a prerequisite, topological notions like compactness, connectedness, and related properties of continuous functions are taken for granted. This course offers biweekly problem sets with solutions, two term tests and a final exam, all with solutions.
URI:	http://hdl.handle.net/1721.1/49419
Other Identifiers:	18.112-Fall2006
Other Identifiers:	18.112 IMSCP-MD5-2d43d03370bcaf5f4855c1b02387c447
Is Based On	http://hdl.handle.net/1721.1/37301
Keywords:	functions of one complex variable, Cauchy's theorem, holomorphic functions, meromorphic functions, residues, contour integrals, conformal mapping, Infinite series and products, the gamma function, the Mittag-Leffler theorem, Harmonic functions, Dirichlet's problem, The Riemann mapping theorem, The Riemann Zeta function, 270103, Analysis and Functional Analysis, 270101, Mathematics, General

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