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Fibonacci Numbers - College Term Papers

Fibonacci Numbers


The were first discovered by a man named Leonardo
Pisano. He was known by his nickname, Fibonacci. The Fibonacci sequence is a
sequence in which each term is the sum of the 2 numbers preceding it. The first
10 are: (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89). These numbers
are obviously recursive.
Fibonacci was born around 1170 in Italy, and he died around 1240 in
Italy. He played an important role in reviving ancient mathematics and made
significant contributions of his own. Even though he was born in Italy he was
educated in North Africa where his father held a diplomatic post. He did a lot
of traveling with his father. He published a book called Liber abaci, in 1202,
after his return to ...

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Some of them were Practica geometriae in 1220 and Liber quadratorum in
1225.
The Fibonacci sequence is also used in the Pascal trianle. The sum of
each diagnal row is a fibonacci number. They are also in the right sequence:
1,1,2,5,8.........
Fibonacci sequence has been a big factor in many patterns of things in
nature. One has found that the fractions u/v representing the screw-like
arrangement of leaves quite often are members of the fibonacci sequence. On many
plants, the number of petals is a Fibonacci number: buttercups have 5 petals;
lilies and iris have 3 petals; some delphiniums have 8; corn marigolds have 13
petals; some asters have 21 whereas daisies can be found with 34, 55 or even 89
petals. Fibonacci nmbers are also used with animals. The first problem Fibonacci
had wehn using the Fibonacci numbers was trying to figure out was how fast
rabbits could breed in ideal circumstances. Using the sequence he was ale to
approximate the answer.
The ...

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PAPER DETAILS
Added: 11/13/2005 09:13:26 PM
Category: Education
Type: Premium Paper
Words: 566
Pages: 3

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