The Isoperimetric Inequality
May 14, 2009
Bailey Hall 207
Refreshments will be served in Bailey 202 at 3:45 pm
Among all closed non-self-intersecting planar curves of a fixed length, the circle encloses the maximum area. This statement seems rather obvious, but the proof is not quite as simple as one might think. We will go through two proofs; a very intuitive geometric one (with a flaw) and a calculus proof. Time-permitting we may talk about what happens in higher dimensions. Anyone who has had or is in math 117 (or IMP 113) should be able to follow the ideas in this talk.
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