Leonardo Pisano Bigollo (c. 1170 – c. 1250) – known as Fibonacci,
and also Leonardo of Pisa, Leonardo Pisano, Leonardo Bonacci,
Leonardo Fibonacci – was an Italian mathematician, considered by
some "the most talented western mathematician of the Middle Ages."
Fibonacci is best known to the modern world for the spreading of the Hindu-Arabic numberal system inEurope , primarily through his composition in 1202 of Liber Abaci (Book of Calculation),
and for a number sequence named the Fibonacci numbers after him, which he did
not discover but used as an example in the Liber Abaci.
Liber Abaci also posed, and solved, a problem involving the growth of a population of rabbits based on idealized assumptions. The solution, generation by generation, was a sequence of numbers later known as Fibobacci numbers. The number sequence was known to Indian mathematicians as early as the 6th century, but it was Fibonacci's Liber Abaci that introduced it to the West.
In the Fibonacci sequence of numbers, each number is the sum of the previous two numbers. Fibonacci began the sequence not with 0, 1, 1, 2, as modern mathematicians do but with 1,1, 2, etc. He carried the calculation up to the thirteenth place (fourteenth in modern counting), that is 233, though another manuscript carries it to the next place: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377. Fibonacci did not speak about the golden ratio as the limit of the ratio of consecutive numbers in this sequence.
In the 19th century, a statue of Fibonacci was constructed and erected inPisa
There are many mathematical concepts named after Fibonacci, for instance because of a connection to the Fibonacci numbers. Examples include the Brahmagupta-Fibonacci identuity, the Fibonacci search technique, and the Pisano period. Beyond mathematics, namesakes of Fibonacci include the asteroid 6765 Fibonacci and the art rock band The Fibonaccis.
Fibonacci is best known to the modern world for the spreading of the Hindu-Arabic numberal system in
Liber Abaci
In the Liber
Abaci (1202), Fibonacci introduced the so-called modus Indorum
(method of the Indians), today known as Arabic numerals (Sigler 2003; Grimm
1973). The book advocated numeration with the digits 0–9 and place value. The
book showed the practical importance of the new numeral system by applying it
to commercial bookkeeping, conversion of weights and measures, the calculation
of interest, money-changing, and other applications. The book was well received
throughout educated Europe and had a profound
impact on European thought.
Fibonacci Sequence
Liber Abaci also posed, and solved, a problem involving the growth of a population of rabbits based on idealized assumptions. The solution, generation by generation, was a sequence of numbers later known as Fibobacci numbers. The number sequence was known to Indian mathematicians as early as the 6th century, but it was Fibonacci's Liber Abaci that introduced it to the West.
In the Fibonacci sequence of numbers, each number is the sum of the previous two numbers. Fibonacci began the sequence not with 0, 1, 1, 2, as modern mathematicians do but with 1,1, 2, etc. He carried the calculation up to the thirteenth place (fourteenth in modern counting), that is 233, though another manuscript carries it to the next place: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377. Fibonacci did not speak about the golden ratio as the limit of the ratio of consecutive numbers in this sequence.
Legacy
In the 19th century, a statue of Fibonacci was constructed and erected in
There are many mathematical concepts named after Fibonacci, for instance because of a connection to the Fibonacci numbers. Examples include the Brahmagupta-Fibonacci identuity, the Fibonacci search technique, and the Pisano period. Beyond mathematics, namesakes of Fibonacci include the asteroid 6765 Fibonacci and the art rock band The Fibonaccis.
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