Type of Document Master's Thesis Author Arnold, Rachel Florence Author's Email Address email@example.com 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 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.
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