You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
Remix and Share
-
(Complete Item Description)
- 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.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
-
MIT OpenCourseWare
Remix and Share
-
(Complete Item Description)
- 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. This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I 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.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
-
MIT OpenCourseWare
No restrictions on your remixing, redistributing, or making derivative works.
Give credit to the author, as required.
Your remixing, redistributing, or making derivatives works comes with some
restrictions, including how it is shared.
Your redistributing comes with some restrictions. Do not remix or make
derivative works.
Copyrighted materials, available under Fair Use and the TEACH Act for US-based
educators, or other custom arrangements. Go to the resource provider to see
their individual restrictions.
