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Fibonacci numbers revisited   Message List  
Reply | Forward Message #34 of 37 |
Properties of Fibonacci numbers are often proved by induction. Although
this results in technically correct proofs, I find that proofs by
induction usually give me very little insight. Over the years I've found
various alternative definitions of the Fibonacci numbers that I can try
out when I'm trying to understand a result. I recently realized that the
sequence of Fibonacci numbers can be viewed as the projection of a two
dimensional geometric sequence, and I'm writing about it here.

The final sections aren't done, but the draft has been sitting on my
hard disk for over a year, so I'm posting an incomplete version to
provide myself with motivation to finish.

It's at
<http://www.gbbservices.com/math/fib.html>

Hope you enjoy it,

Walter




Sat Jul 7, 2007 10:55 pm

waltervannini
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Message #34 of 37 |
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Properties of Fibonacci numbers are often proved by induction. Although this results in technically correct proofs, I find that proofs by induction usually...
Walter Vannini
waltervannini
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Jul 7, 2007
10:55 pm
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