Complex Analysis on Planar Cell Complexes

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dc.contributor.authorArnold, Rachel Florenceen
dc.contributor.committeechairHaskell, Peter E.en
dc.contributor.committeememberGreen, Edward L.en
dc.contributor.committeememberThomson, James E.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:35:08Zen
dc.date.adate2008-05-28en
dc.date.available2014-03-14T20:35:08Zen
dc.date.issued2008-04-29en
dc.date.rdate2008-05-28en
dc.date.sdate2008-05-05en
dc.description.abstractThis paper is an examination of the theory of discrete complex analysis that arises from the framework of a planar cell complex. Construction of this theory is largely integration-based. A combination of two cell complexes, the double and its associated diamond complex, allows for the development of a discrete Cauchy Integral Formula.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-05052008-134530en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05052008-134530/en
dc.identifier.urihttp://hdl.handle.net/10919/32230en
dc.publisherVirginia Techen
dc.relation.haspartThesis.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectCell Decompositionen
dc.subjectCauchy-Riemann Equationen
dc.subjectDiscrete Differential Formsen
dc.subjectHodge Decompositionen
dc.subjectCauchy Integral Formulaen
dc.titleComplex Analysis on Planar Cell Complexesen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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