18.112 Functions of a Complex Variable, Fall 2006
Name
18-112Fall-2006/OcwWeb/Mathematics/18-112Fall-2006/CourseHome/index.htm
Size
13.5 KB
Format
HTML
Checksum (MD5)
a4aff5fbdd454c8643b7aa5942aa3212
Author(s)
Helgason, Sigurdur, 1927-
Alternative Title
Functions of a Complex Variable
Date Issued
December 2006
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.
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
Terms of Use
Persistent DSpace Link
