18.112 Functions of a Complex Variable, Fall 2006

Helgason, Sigurdur, 1927-

Author(s)

Helgason, Sigurdur, 1927-

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Alternative title

Functions of a Complex Variable

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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.

Date issued

2006-12

URI

http://hdl.handle.net/1721.1/49419

Department

Massachusetts Institute of Technology. Department of Mathematics

Other identifiers

18.112-Fall2006

local: 18.112

local: IMSCP-MD5-2d43d03370bcaf5f4855c1b02387c447

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

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