18.112 Functions of a Complex Variable, Fall 2005

18.112 Functions of a Complex Variable, Fall 2005

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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-
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Learning Object
Language:en-US
Published: 2005
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
Online Access:http://hdl.handle.net/1721.1/37301

Internet

http://hdl.handle.net/1721.1/37301

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