Browsing Theses (MU) by Thesis Department "Mathematics"
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Conformal mappings and the SchwarzChristoffel transformation
(University of MissouriColumbia, 2017)Let ? be an open and connected set in the complex plane. A mapping f : ? ? C is said to be conformal at a point z0 if it preserves angles and orientation between curves intersecting at z0. We discuss tangent lines and their ... 
Harmonic functions and the Dirichlet problem
(University of MissouriColumbia, 2017)Let ? be an open and connected subset of the complex plane. A real valued function u : ? ? R is said to be harmonic if it has continuous first and second partial derivatives and satisfies Laplaces equation ?u = ? 2u ?x2 + ...