Fibonacci Numbers

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Term Paper Title	Fibonacci Numbers
# of Words	605
# of Pages (250 words per page double spaced)	2.42

Fibonacci Numbers

Fibonacci Numbers

       The Fibonacci numbers 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 Fibonacci numbers 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 Italy. This book was the first time the Fibonacci numbers
had been discussed.  It was based on bits of Arithmetic and Algebra that
Fibonacci had accumulated during his travels with his father. Liber abaci
introduced the Hindu-Arabic place-valued decimal system and the use of Arabic
numerals into Europe. This book, though, was somewhat contraversial because it
contradicted and even proved some of the foremost Roman and Grecian
Mathematicians of the time to be false. He published many famous mathematical
books. 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 Fibon...

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