Fibonacci Case

Leonardo Pisano, or better known as Fibonacci, was perhaps the western world's most exalted mathematicians of the middle ages. He was born in Italy, in a town called Pisa, the city of the famous Leaning Tower. His exact date of birth is unknown because birth records were not kept for those in the merchant class; only if you were born into a famous family it would be kept. It is believed that Fibonacci was born around 1170, and died around 1240. He was the son of Guilielmo Bonacci, a civil servant who worked as a Pisan merchant in North Africa at a port town in Bugia. Fibonacci was educated in Bugia where his father worked; it was there that he was taught mathematics. He and his father traveled widely around the country, where they became appalled by the enormous advantages of the mathematical systems used throughout the countries where they had traveled.

Fibonacci was most famous for his contributions to mathematics, specifically the Fibonacci sequence. The sequence is as follows: start with the numbers 0 and 1 add them together to get 1, then add 1 and 1 together to get 2, then add 2 and 1 to get 3, then add 3 and 2 together to get 5, then add 5 and 3 to get 8, then add 8 and 5 to get 13 and soon below is all Fibonacci's numbers up to 233. In other words each number is a result of the two previous numbers added together. The significance of this is that the higher you get in the sequence, you can divide a number and its previous number and that will give you a number close to the golden ratio.