Date of Award
College of Liberal Arts
Type of Degree
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.
Merritt, Richard, "Theory of "Art" : Qualitative in Nature and Quaintintative in Practice" (2011). Theses, Dissertations and Capstones. 9.