18.112 Functions of a Complex Variable, Fall 2005

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Author(s)
Helgason, Sigurdur, 1927-
Alternative Title
Functions of a Complex Variable
Date Issued
December 2005
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.
Subjects
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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