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Generating functions, the Fibonacci numbers, and the Golden Ratio

by

Professor Kathryn Lesh
Union College

September 15, 2014
5:00 pm
Bailey Hall 207

Refreshments will be served in Bailey Hall 204 @ 4:45pm


Abstract:

The Fibonacci numbers are given bu the sequence 1, 1, 2, 3, 5, 8, 13, ..., where each number is obtained by adding the two numbers before it. The Golden Mean is the number $\frac{1+\sqrt{5}}{2}$, and has a long and illustrious history in mathematics, art, and architecture, among other fields. We'll use generating functions to derive a connection between the Fibonacci numbers and the Golden Mean, and look at some interesting consequences.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
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