## The Method of Exhaustion: Eudoxus, Archimedes, and the Notion of Limit |

**Julius Barbanel**

Union College

January 9, 2006

4:30 pm

Bailey Hall 201

Patries and drinks will be served at 4 pm in Bailey Hall 204

Isaac Newton and Gottfried Leibniz (both working in the late 17th and early 18th centuries AD) are generally considered to be the inventors of calculus. We will argue in this talk that part of the credit for this discovery should be given to two ancient Greek mathematicians, Eudoxus and Archimedes (who worked in the 4th and 3rd centuries BC, respectively). Eudoxus developed what is very close to the idea of a limit and applied this idea in his Method of Exhaustion, which he used to compute areas and volumes. Archimedes greatly extended these ideas.

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