Mathematics Lecture Series

Mathematics Lecture Series

Postby staing » Fri Oct 25, 2013 8:33 am

Mathematics Lecture Series, Fall 2013
Fresno State

California State University, Fresno

“Archimedean Quadrature Redux”

Friday, November 1, 2013
from 4:00 p.m. to 5:00 p.m.
PB 132

Archimedes’ use of Eudoxos’ method of exhaustion to determine the area bounded by a parabolic arc and a line segment was a crowning achievement in Greek mathematics. The promise of the method, so apparent to us now, seems to have died with Archimedes, only to rise again in different form some 1900 years later with the modern calculus. Archimedes’ result though is not just about computing an area. It is about comparing a parabolic area with a related triangular area. That is, there is a geometric content in the comparison that is interesting in its own right. In this talk we would like to make the case that Archimedes’ area comparisons deserve more attention, not so much because of his methods, but rather because of the interesting geometric content of the comparisons and the new questions they suggests. We feel that there are more results to be had, and present a few here with some speculation on further research directions.

If you need a disability-related accommodation or wheelchair access information, please contact Carmen Caprau at 8-4997 or e-mail Requests should be made at least one week in advance of the event.
Sieumuoi Delcroix
Administrative Support Coordinator
Department of Earth and Environmental Sciences
Main Office 559.278.3086
Fax: 559.278.5980
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