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dc.contributor.authorBergonio, Philip Palma
dc.date.accessioned2014-03-04T02:49:40Z
dc.date.available2014-03-04T02:49:40Z
dc.date.issued2007-12
dc.identifier.otherbergonio_philip_p_200712_ma
dc.identifier.urihttp://purl.galileo.usg.edu/uga_etd/bergonio_philip_p_200712_ma
dc.identifier.urihttp://hdl.handle.net/10724/24360
dc.description.abstractThe Riemann Mapping Theorem guarantees that the upper half plane is conformally equivalent to the interior domain determined by any polygon. Schwarz-Christoffel transformations provide explicit formulas for the maps that work. Popular textbook treatments of the topic range from motivational and contructive to proof-oriented. The aim of this paper is to combine the strengths of these expositions, filling in details and adding more information when necessary. In particular, careful attention is paid to the crucial fact, taken for granted in most elementary texts, that all conformal equivalences between the domains in question extend continuously to their closures.
dc.languageeng
dc.publisheruga
dc.rightspublic
dc.subjectComplex Analysis
dc.subjectSchwarz-Christoffel Transformations
dc.subjectPolygons in the Complex Plane
dc.titleSchwarz-Christoffel transformations
dc.typeThesis
dc.description.degreeMA
dc.description.departmentMathematics
dc.description.majorMathematics
dc.description.advisorEdward Azoff
dc.description.committeeEdward Azoff
dc.description.committeeShuzhou Wang
dc.description.committeeDaniel Nakano


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