The Isoperimetric Inequality
November 1, 2011
Bailey Hall 207
Refreshments will be served in Bailey Hall 204 at 4:30
Among all closed non-self-intersecting planar curves of a fixed length, the circle encloses the maximum area. When you think about this for a bit, it probably seems intuitively clear. However, the proof is not a simple as one might guess.
I will describe two classical proofs; a very geometric one (with one fatal flaw) and then a complete calculus proof using Greenís Theorem. The former doesnít really require any background knowledge other than basic geometry, while the latter uses double integrals (and area), line integrals, and Greenís Theorem.
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Created automatically on: Sun Jan 21 01:27:39 EST 2018