Type of Document	Master's Thesis
Author	Arnold, Rachel Florence
Author's Email Address	rachel.arnold@vt.edu
URN	etd-05052008-134530
Title	Complex Analysis on Planar Cell Complexes
Degree	Master of Science
Department	Mathematics
Advisory Committee	Advisor Name Title Haskell, Peter E. Committee Chair Green, Edward L. Committee Member Thomson, James E. Committee Member
Keywords	Cell Decomposition Cauchy-Riemann Equation Discrete Differential Forms Hodge Decomposition Cauchy Integral Formula
Date of Defense	2008-04-29
Availability	unrestricted
Abstract This 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.
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