## Who Discovered Integral Calculus? Archimedes: The Method of Exhaustion and the Mechanical Method |

**Julius Barbanel**

Union College

October 2, 2012

4:45 pm

Bailey Hall 207

Refreshments will be served in Bailey Hall 204 at 4:30

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 the ancient Greek mathematician Archimedes (who worked in the 3rd century BC). Archimedes pursued two lines of research involving areas and volumes. These approaches, known as the Method of Exhaustion and the Mechanical Method, can be viewed as early examples of ideas that we think of as being part of integral calculus.

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