Arnold, Rachel Florence2014-03-142014-03-142008-04-29etd-05052008-134530http://hdl.handle.net/10919/32230This 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.In CopyrightCell DecompositionCauchy-Riemann EquationDiscrete Differential FormsHodge DecompositionCauchy Integral FormulaThesishttp://scholar.lib.vt.edu/theses/available/etd-05052008-134530/