Math 332. Complex Analysis II |
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Ana
sayfa / Home
Öğrenci Semineri / Students' Seminar
Takvim / Calendar 2003-2004 |
Suggested Syllabus:
The Open Mapping Theorem, Goursat’s theorem,
singularities, residues, the Argument Principle, the Maximum Modulus
Theorem, Schwarz Lemma, the space of continuous, analytic and meromorphic
functions, the Riemann Mapping Theorem, Weierstrass Factorization Theorem,
the Gamma function, the Riemann zeta function. Schwartz Reflection
Principle, analytic continuation along a path, Monodromy Theorem, the
sheaf of germs of analytic functions on an open set, analytic maniforlds,
covering spaces. Harmonic functions. The Dirichlet Problem, Greens
Functions. Entire functions, genus, order, Hadamards Factorization
Theorem. Picards Theorems. Instructors:
Andrei Ratiu |
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