MAT 516 - Complex Analysis Credits: 3
Prerequisite: MAT 511 and 515 . Advanced study of complex–valued functions. Holomorphic and harmonic functions, Cauchy’s Integral Theorem, Poisson’s kernel and the Dirichlet problem, conformality, the Riemann Mapping Theorem, analytic continuation. Additional topics chosen from univalent, entire, meromorphic functions; Riemann surfaces; asymptotic methods; Mittag–Leffler, Runge and Weierstrass factorization theorems.
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