Medieval mathematician and businessman Fibonacci (Leonardo Pisano) posed the following problem in his treatise Liber Abaci (pub. 1202):
How many pairs of rabbits will be produced in a year, beginning with a single pair, if in every month each pair bears a new pair which becomes productive from the second month on?
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The Fibonacci numbers are named after Leonardo of Pisa, known as Fibonacci, although they had been described earlier in India.
This is an example of a recursive sequence, obeying the simple rule that to calculate the next term one simply sums the preceding two:
F(1) = 1
F(2) = 1
F(n) = F(n – 1) + F(n – 2)
1 + 1 = 2 + 1 = 3 + 2 = 5 + 3 = 8 + 5 = 13 + 8 = 21 + 13 = 34 + ………
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811…
I won’t enter in complicate math concepts… I know that many of us would be bored to death….
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Fibonacci numbers and the Golden Number (Golden Ratio)
If we take the ratio of two successive numbers in Fibonacci's series, (1, 1, 2, 3, 5, 8, 13, ..) and we divide each by the number before it, we will find the following series of numbers:
1/1 = 1, 2/1 = 2, 3/2 = 1·5, 5/3 = 1·666..., 8/5 = 1·6, 13/8 = 1·625, 21/13 = 1·61538...
The golden section number is closely connected with the Fibonacci series and has a value of:
1·61803 39887 49894 84820 45868 34365 63811 77203 09179 80576 ...
The golden ratio can be expressed as amathematical constant, usually denoted by the Greek letter 
= 1·61803 ********
But why it is so important?
http://www.crystalinks.com/sg.html
http://www.world-mysteries.com/sci_17.htm#Nature
Your hand:
Take your hand off your keyboard or mouse and look at the proportions of your index finger.
The Ahmes papyrus of Egypt gives an account of the building of the Great Pyramid of Giza in 4700 B.C. with proportions 
