# Fibonacci

### Cameron Cook

## Summary

In 1202, Fibonacci published *Liber abaci, *or "Book of the Calculator". In the book he went into detail of the superiority of the Hindu-Arabic system. The book has four sections, section one describing Roman numerals and finger computation, the use of Hindu-Arabic numerals, the value of positional notation, and the use of the bar symbol for fractions. Sections 2 and 3 includes problems and solutions for algebra and the Fibonacci sequence (1,1,2,3,5,8,13...). The Fibonacci sequence is when each term occurring after the first two are calculated by adding the two terms before it. This sequence is used to explain pine cone scales and leaves and the spirals at the center of a daisie. To this day there is a society in the United States that the properties of sequences of numbers.

After 1225 not much is known about Fibonacci. In 1225 he won a math tournament at the court of Pisa. Fibonacci is believed to have spent the rest of his life in Pisa. He died in 1230. In the next two centuries after his death *Liber Abaci *was used to spread the Hindu-Arabic numeral system.

## The world during 1170-1230

In the 13th century Europe's' economy was increasing. Trade routes were create on land and water to connect the Mediterranean ports in Italy to the Hanseatic League of ports in Germany. City-states in Italy were growing in power. Eventually becoming independent. Naples was the only one that did not declare independence. New methods of commerce and infrastructure were being developed in parts with things like banks and exchange markets.

What effected Fibonacci the most was his knowledge on the Hindu-Arabic system. Once he discovered it he was amazed at what the system could do. He shared his knowledge through his book.

Other mathematicians who were alive while Fibonacci was are Gerland and Alhazen. Gerland primarily worked on problems related to the abacus and his work is currently held in the National Library of France in Paris. Alhazen whose work stood out more and physics. He was basically the Isaac Newton of his time.

## Contibutions

## Intoduced Hindu-Arabic System to Europe The Hindu Arabic system is a positional system based on ten digits, decimal points, and symbol representing zero. | ## Liber abbaci Fibonacci wrote a book called Liber abbaci ( Book of the Abacus or Book of Calculating) in 1202. This book simply describes the processes of adding, subtracting, dividing, and multiplying. | ## Fibonacci Sequence In Fibonacci's number sequence you calculate the number you want by adding the two numbers the precede it. The list looks like this : 0,1,1,2,3,5,8,13,21,... |

## Intoduced Hindu-Arabic System to Europe

## Liber abbaci

## Because of Fibonacci we can...

## We don't have to use crazy symbols for numbers.

We see the Fibonacci sequence in real life. Like when analyzing a hurricanes structure and measuring the length of arms in relation to the torso.

We can also use his sequence and apply it to word problems. Such as "How many pairs of mice that are placed in a enclosed space will be produced in a year from one pair of mice if

each pair gives birth to a new pair each month, beginning with the second month.* *

## Work Cited

"Contents of This Page." Who Was Fibonacci? N.p., n.d. Web. 04 Jan. 2016. <http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibBio.html>.

"A Few Ways Fibonacci Can Be Helpful - All Star Charts -." All Star Charts. N.p., 05 Sept. 2013. Web. 04 Jan. 2016. <http://allstarcharts.com/fibonacci/>.

"Fibonacci Sequence." Fibonacci Sequence. N.p., n.d. Web. 04 Jan. 2016. <https://www.mathsisfun.com/numbers/fibonacci-sequence.html>.

"Gerland (mathematician)." Gerland (mathematician). N.p., n.d. Web. 04 Jan. 2016. <http://www.gutenberg.us/articles/gerland_(mathematician)>.

"Leonardo Fibonacci." World of Scientific Discovery. N.p.: Gale, 2006. N.

pag. *Student Resources in Context*. Web. 16 Dec. 2015.