Date of Award
2011
Degree Name
Mathematics
College
College of Liberal Arts
Type of Degree
M.A.
Document Type
Thesis
First Advisor
Bonita Lawrence
Second Advisor
Clayton Brooks
Third Advisor
Basant Karna
Abstract
The primary focus of this work is to discuss the mechanical action of the Marshall Differential Analyzer ("ART") in a mathematical context. Differential Analyzers are primarily used to calculate the solutions to Differential Equations. A full account of the uses of Marshall's Differential Analyzer is given. Furthermore, a pure mathematical justification of how the machine integrates (mechanical integration) is provided via an application of the Riemann Integral. Many simple example problems are detailed ultimately leading up to the calculation of nonlinear problems, more specifically, a nonlinear oscillator.
Recommended Citation
Merritt, Richard, "Theory of "Art" : Qualitative in Nature and Quaintintative in Practice" (2011). Theses, Dissertations and Capstones. 9.
https://mds.marshall.edu/etd/9
