Fibonacci  

""
Statue of Fibonacci (1863) by Giovanni Paganucci in the "Camposanto di Pisa


Born  c. 1175 "Pisa^{[1]} 
Died  c. 1240–50 most likely "Pisa 
Occupation  "Mathematician 
Known for 

Parent(s)  Guglielmo Bonacci 
Fibonacci (c. 1175 – c. 1250)^{[2]} was an "Italian "mathematician from the "Republic of Pisa, considered to be "the most talented Western mathematician of the "Middle Ages".^{[3]} The name he is commonly called, "Fibonacci" (Italian: "[fiboˈnattʃi]^{[4]}), was made up in 1838 by the French historian Guillaume Libri^{[5]} and is short for "filius Bonacci" ("son of (the) Bonacci")^{[6]} and he is also known as Leonardo Bonacci, Leonardo of Pisa, Leonardo Pisano Bigollo, or Leonardo Fibonacci.
Fibonacci popularized the "Hindu–Arabic numeral system in the Western World^{[7]} primarily through his composition in 1202 of "Liber Abaci (Book of Calculation).^{[8]} He also introduced Europe to the sequence of "Fibonacci numbers, which he used as an example in Liber Abaci.^{[9]}
Fibonacci was born around 1175 to Guglielmo, a wealthy Italian merchant and, by some accounts, the "consul for Pisa. Guglielmo directed a trading post in "Bugia, a port in the "Almohad dynasty's sultanate in "North Africa. Fibonacci travelled with him as a young boy, and it was in Bugia (now "Béjaïa, "Algeria) that he learned about the "Hindu–Arabic numeral system.^{[2]}
Fibonacci travelled extensively around the "Mediterranean coast, meeting with many merchants and learning about their systems of doing arithmetic. He soon realised the many advantages of the HinduArabic system. In 1202, he completed the "Liber Abaci (Book of Abacus or Book of Calculation) which popularized Hindu–Arabic numerals in Europe.^{[2]}
Fibonacci became a guest of "Emperor Frederick II, who enjoyed mathematics and science. In 1240, the "Republic of Pisa honored Fibonacci (referred to as Leonardo Bigollo)^{[10]} by granting him a salary in a decree that recognized him for the services that he had given to the city as an advisor on matters of accounting and instruction to citizens.^{[11]}
The date of Fibonacci's death is not known, but it has been estimated to be between 1240^{[12]} and 1250,^{[13]} most likely in Pisa.
In the Liber Abaci (1202), Fibonacci introduced the socalled modus Indorum (method of the Indians), today known as the "Hindu–Arabic numeral system.^{[14]}^{[15]} The book advocated numeration with the digits 0–9 and "place value. The book showed the practical use and value of the new HinduArabic "numeral system by applying the numerals to commercial "bookkeeping, converting weights and measures, calculation of interest, moneychanging, and other applications. The book was wellreceived throughout educated Europe and had a profound impact on European thought. No copies of the 1202 edition are known to exist.^{[16]}
The 1228 edition, first section introduces the HinduArabic numeral system and compares the system with other systems, such as Roman numerals, and methods to convert the other numeral systems into HinduArabic numerals. Replacing the Roman numeral system, its "ancient Egyptian multiplication method, and using an "abacus for calculations, with a HinduArabic numeral system was an advance in making business calculations easier and faster, which led to the growth of "banking and "accounting in Europe.^{[17]}^{[18]}
The second section explains the uses of HinduArabic numerals in business, for example converting different currencies, and calculating profit and interest, which were important to the growing banking industry. The book also discusses "irrational numbers and "prime numbers.^{[16]}^{[17]}^{[18]}
Liber Abaci 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 "Fibonacci numbers. Although Fibonacci's Liber Abaci contains the earliest known description of the sequence outside of India, the sequence had been noted by Indian mathematicians as early as the sixth century.^{[19]}^{[20]}^{[21]}^{[22]}
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.^{[23]}^{[24]} 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 raised in Pisa. Today it is located in the western gallery of the "Camposanto, historical cemetery on the "Piazza dei Miracoli.^{[25]}
There are many mathematical "concepts named after Fibonacci because of a connection to the Fibonacci numbers. Examples include the "Brahmagupta–Fibonacci identity, 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.
"Wikisource has the text of the "1911 Encyclopædia Britannica article Leonardo of Pisa. 