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

Degree: MS, Mathematics, 2012, The Ohio State University

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. Advisors/Committee Members: Costin, Rodica (Committee Chair), Clemens, Herb (Advisor).

Subjects/Keywords: Mathematics; archimedes quadrature of the parabola; method of exhaustion; constructing regular polygons

…paper examines the Greekā€™s idea of the Method of Exhaustion and how this method could have… …of Exhaustion. This text seeks to: historically look at what the Method of Exhaustion was… …used for, look at how to apply the Method of Exhaustion to find useful results, and examine… …similarities between the Method of Exhaustion and the techniques of modern integration. The Method of… …Method of Exhaustion to approximate the area of a circle and find an exact formula for the area… 

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

DeSouza, C. E. (2012). The Greek Method of Exhaustion: Leading the Way to Modern Integration. (Masters Thesis). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1338326658

Chicago Manual of Style (16th Edition):

DeSouza, Chelsea E. “The Greek Method of Exhaustion: Leading the Way to Modern Integration.” 2012. Masters Thesis, The Ohio State University. Accessed April 03, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1338326658.

MLA Handbook (7th Edition):

DeSouza, Chelsea E. “The Greek Method of Exhaustion: Leading the Way to Modern Integration.” 2012. Web. 03 Apr 2020.

Vancouver:

DeSouza CE. The Greek Method of Exhaustion: Leading the Way to Modern Integration. [Internet] [Masters thesis]. The Ohio State University; 2012. [cited 2020 Apr 03]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1338326658.

Council of Science Editors:

DeSouza CE. The Greek Method of Exhaustion: Leading the Way to Modern Integration. [Masters Thesis]. The Ohio State University; 2012. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1338326658

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