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The Greek Method of Exhaustion: Leading the Way to Modern Integration
DeSouza, Chelsea E.

2012, Master of Science, Ohio State University, Mathematics.
This paper is a critical look at the Method of Exhaustion and how it is related to some of the more modern techniques of integration. This text moves through the development of the Method of Exhaustion to some applications. These applications include estimating the area of a circle using the Method of Exhaustion, and finding the exact area of a parabolic region by Archimedes quadrature of the parabola. These ideas are extensively developed and all constructions and proofs are given in the text and appendices. Similar techniques are then suggested to the reader to extend these results to find certain volumes in the appendix. Finally, a comparison is drawn between the Method of Exhaustion and integration techniques taught in modern classroom settings.
Herb Clemens, PhD (Advisor)
Rodica Costin, PhD (Committee Chair)
65 p.

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DeSouza, C. (2012). The Greek Method of Exhaustion: Leading the Way to Modern Integration. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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DeSouza, Chelsea. "The Greek Method of Exhaustion: Leading the Way to Modern Integration." Electronic Thesis or Dissertation. Ohio State University, 2012. OhioLINK Electronic Theses and Dissertations Center. 25 Sep 2017.

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DeSouza, Chelsea "The Greek Method of Exhaustion: Leading the Way to Modern Integration." Electronic Thesis or Dissertation. Ohio State University, 2012. https://etd.ohiolink.edu/

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