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dc.contributor.authorArnold, Rachel Florenceen_US
dc.date.accessioned2014-03-14T20:35:08Z
dc.date.available2014-03-14T20:35:08Z
dc.date.issued2008-04-29en_US
dc.identifier.otheretd-05052008-134530en_US
dc.identifier.urihttp://hdl.handle.net/10919/32230
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_US
dc.publisherVirginia Techen_US
dc.relation.haspartThesis.pdfen_US
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Virginia Tech or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectCell Decompositionen_US
dc.subjectCauchy-Riemann Equationen_US
dc.subjectDiscrete Differential Formsen_US
dc.subjectHodge Decompositionen_US
dc.subjectCauchy Integral Formulaen_US
dc.titleComplex Analysis on Planar Cell Complexesen_US
dc.typeThesisen_US
dc.contributor.departmentMathematicsen_US
dc.description.degreeMaster of Scienceen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineMathematicsen_US
dc.contributor.committeechairHaskell, Peter E.en_US
dc.contributor.committeememberGreen, Edward L.en_US
dc.contributor.committeememberThomson, James E.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05052008-134530/en_US
dc.date.sdate2008-05-05en_US
dc.date.rdate2008-05-28
dc.date.adate2008-05-28en_US


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