Leonardo Fibonacci Leonardo Fibonacci was born in Pisa, Italy around 1175 to Guilielmo Bonacci. Leonardo's father was the secretary of the Republic of Pisa and directed the Pisan trading colony. His father intended on Leonardo becoming a merchant. His father enlisted him in the Pisan Republic, sending him to various countries. As Leonardo continued to travel with his father, he acquired mathematical skills while in Bugia. Fibonacci continued to study throughout his travels, which ended around the year 1200. Leonardo began writing books on number theory, practical problems of business mathematics, surveying, advanced problems in algebra and recreational mathematics. Leonardo's recreational problems became known as story problems and became mental challenges in the 13th century. Of all the books he wrote we still have copies of Liber abbaci (1202), Practica geometriae (1220), Flos (1225), and Liber Quadratorum. Sadly his books on commercial arithmetic Di minor guisa is lost as well as his commentary on Book X Euclid's Elements. One of Leonardo's contributions to mathematics was his introducing the Decimal Number system into Europe. He was one of the first people to introduce the HinduArabic number system into Europe. Fibonacci also introduced the Decimal Positional System, which originated from India and Arabia. Fibonacci wrote story problems in his book, Liber abbaci. Examples of those problems are, "A spider climbs so many feet up a wall each day and slips back a fixed number each night, how many days does it take him to climb the wall. These problems became quite popular. Another accomplishment was his forming the Fibonacci Series. It is a series of number in which each member is the sum of the two preceding numbers. For example, a series beginning 0, 1 continues as 1, 2, 3, 5, 8, 13, 21, and so forth. The exact period of this discovery is not known. Leonardo was a bright man, but left much of his solutions to his...
...experiment the hypothesis was to look for patterns in nature focusing in the Fibonacci sequence as a main and looking for angles. What was first done was to count a pine cone’s pieces, a flower’s petals, a celery, and grapes to find the Fibbonacci sequence which not found only on the celey and on the flower, elsewhere the Fibonacci was there.
After finishing the experiment I started noticing more patterns relating to the Fibonacci sequence. For...
...Leonardo of Pisa or Fibonacci and the Issue of Moneylenders
NFaly Konate
Texas A&M University – Central Texas
FIN 590
Dr. Mary Kelly
Summer 2012
Northern Italy in the early thirteen century was a land subdivided into multiple feuding citystates. Among the many remnants of defunct Roman Empire was a numerical system (I, ii, iii, iv…) singularly ill suited to complex mathematical calculation, let alone the needs of commerce. Nowhere was this more of a...
...Leonardo Pisano(11701250) was an Italian number theorist, who was considered to be one of the most talented mathematicians in the Middle Ages.
However, He was better known by his nickname Fibonacci, as many famoustheorems were named after it. In addition to that, Fibonacci himself sometimes used the name Bigollo, which means goodfornothing or a traveller. Thisis probably because his father held a diplomatic post, and Fibonacci...
...The Discovery of the Fibonacci Sequence
A man named Leonardo Pisano, who was known by his nickname, "Fibonacci", and named the series after himself, first discovered the Fibonacci sequence around 1200 A.D. 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...
...Leonardo Pisano (Fibonacci)
0,1,1,2,3,5,8,13… Does this sequence look familiar? If you thought for one second that this was the Fibonacci sequence then you’re right! The Fibonacci sequence was one of the few things created by Leonardo Pisano, considered the greatest European mathematician in the middle ages, that was a significant contribution to math. In order to gain a better understanding of the life of...
...LeonardoFibonacci was born around 1170 A.D., and died around 1250 A.D. He was born in Pisa, Italy and died there too. Leonardo’s mom was Alessandra, and she died when he was nine. His father was Guglielmo Bonacci, who directed a trading post Bugia, Barbary. As a young boy, Leonardo traveled there to help him, and that’s where he learned about the HinduArabic numeral system. He recognized that arithmetic with HinduArabic numerals is simpler and more...
...that Fibonacci investigated (in the year 1202) was about how fast rabbits could breed in ideal circumstances.
Suppose a newlyborn pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never dieand that the female always produces one new pair (one male, one female) every month from the second month on. The puzzle...
...Anatolia College 
Mathematics HL investigation

The Fibonacci sequence 
Christos Vassos

Introduction
In this investigation we are going to examine the Fibonacci sequence and investigate some of its aspects by forming conjectures and trying to prove them. Finally, we are going to reach a conclusion about the conjectures we have previously established.
Segment 1: The Fibonacci sequence
The Fibonacci sequence...