Fibonacci

1
Fibonacci

• By Zara Azam

2
Fibonacci

• Born c. 1170
• Birthplace Pisa, Italy
• Died c. 1240
• Best Known As The guy who brought the
  Hindu-Arabic number system to Europe.98

3
Leonardo Fibonacci

• Leonardo Fibonacci was born in Pisa, Italy in the
  middle 1170s. He was educated in North Africa
  where his father Guilielmo, held diplomatic
  posts. His fathers job was to represent the
  merchants of the Republic of Pisa who were
  trading in Bugia.

• Bugia is now called Bejaia. Bejaia is located in
  the north east of Algeria. Fibonacci was taught
  mathematics in Bugia and travelled to many
  different places with his father and recognised
  the enormous advantages of the mathematical
  systems used in the countries they visited.

4
Studies

• During his studies in northern Africa, Fibonacci
  discovered the Hindu-Arabic number system, which
  he had not been exposed to in Europe. When his
  father arranged for him to work for the Pisan
  republic, Leonardo took advantage of his business
  trips to countries such as Greece, Sicily, Egypt
  and Provence. He studied the methods of
  mathematics that were practiced in these various
  nations. He discovered that the Hindu-Arabic
  numerals were much more effective and easier to
  (manipulate) than the Roman numeral system used
  in Italy.

5
Algebra

• Fibonacci returned to his hometown of Pisa around
  1200. There, he spent many years working on his
  five major mathematical publications. One of his
  first works was a book called Liber Abbaci,
  (meaning Book of Calculating,) and was
  published in 1202.
• The book is in Latin and explains the use of the
  number system that Fibonacci learned in Algeria.
  It describes the base ten system that uses nine
  characters 1, 2, 3, 4, 5, 6, 7, 8, and 9, as
  well as a tenth character of value zero.

• Fibonacci goes on to explain the use of the
  decimal point and the meaning of the character
  placement in a number. He illustrates the
  operations of adding, subtracting, multiplying
  and dividing, using various examples to explain
  his methods. He shows that numbers can be summed
  by lining up the columns and adding, or
  subtracting, vertically, carrying values of ten.

6

• He thoroughly describes the methods used to
  multiply and divide the numbers as well. This
  book was one of the first exposures that Europe
  had to this new system, and it proved to be
  persuasive, causing many Europeans to convert to
  this system.
• Fibonacci also made significant contributions to
  mathematics himself, in number theory and on
  recursive sequences

7
Most famous for

• Fibonacci was known for many things. He was best
  known for the Fibonacci Numbers, which is a
  number sequence that he had discovered while
  solving a problem about rabbits. , in which each
  number is the sum of the previous two.
• The Fibonacci numbers are 1, 1, 2, 3, 5, 8, 13,
  21, 34, 55, 89, 144, 233, 377, 610, 987 and so
  on. You can find Fibonacci numbers in everyday
  life. Here are some examples
• If you count the leaves on a plant like daisies,
  you will find a Fibonacci number. The number of
  petals on a daisy or the number of leaves on a
  daisy will also be a Fibonacci number if the
  plant is intact.
• Fibonacci also invented another pattern with
  math, "The Rabbits Problem". The Rabbits Problem
  is if you start with one pair of rabbits, how
  many pairs will there be after one year if they
  reproduce in a Fibonacci sequence? The
  assumptions are 1) In the first month a pair of
  rabbits do not mate. 2) The rabbits have a pair
  of babies in the second month and all the rest of
  the months. 3) Each pair is made up of a male and
  female.

8
The End
The End
The End
The End
The End
The End!
The End
The End
The End
The End
The End