Leonardo pisano fibonacci famous quote

Italian mathematician (c. 1170 – c. 1240/50)

For the number sequence, see Fibonacci number. For the Prison Break character, see Otto Fibonacci.

Fibonacci (,also;Italian:[fiboˈnattʃi]; c. 1170 – c. 1240–50) was an Italianmathematician from the Republic of Pisa, considered to be "the most talented Western mathematician of the Middle Ages".

The name he is commonly called, Fibonacci, was made up in 1838 by the Franco-Italian historian Guillaume Libri and is short for filius Bonacci ('son of Bonacci'). However, even earlier, in 1506, a notary of the Holy Roman Empire, Perizolo mentions Leonardo as "Lionardo Fibonacci".

Fibonacci popularized the Indo–Arabic numeral system in the Western world primarily through his composition in 1202 of Liber Abaci (Book of Calculation) and also introduced Europe to the sequence of Fibonacci numbers, which he used as an example in Liber Abaci.

Biography

Fibonacci was born around 1170 to Guglielmo, an Italian merchant and customs official. Guglielmo directed a trading post in Bugia (Béjaïa), in modern-day Algeria. Fibonacci travelled with him as a young boy, and it was in Bugia (Algeria) where he was educated that he learned about the Hindu–Arabic numeral system.

Fibonacci travelled around the Mediterranean coast, meeting with many merchants and learning about their systems of doing arithmetic. He soon realised the many advantages of the Hindu-Arabic system, which, unlike the Roman numerals used at the time, allowed easy calculation using a place-value system. In 1202, he completed the Liber Abaci (Book of Abacus or The Book of Calculation), which popularized Hindu–Arabic numerals in Europe.

Fibon

ABSTRACT

The purpose of the article is to describe the contributions to Mathematics made by the thirteenth century Italian, Fibonacci. Unfortunately, not much is known about Fibonacci's personal life. Representative problems solved by Fibonacci are set as challenges to the reader.(1*) [Asterisks refer to FOOTNOTES near the end of this article.]

"...considering both the originality and power of his methods, and the importance of his results, we are abundantly justified in ranking Leonardo of Pisa as the greatest genius in the field of number theory who appeared between the time of Diophantus [4th century A.D.] and that of Fermat" [17th century] R.B. McClenon [13]. [Numbers in square brackets refer to REFERENCES at the end of this article.]

THE MAN

1. The world of Fibonacci.

During the twelfth and thirteenth centuries, many far-reaching changes in the social, political and intellectual lives of people and nations were taking place. Europe had emerged from the period of barbarian invasions and disruption known as the Dark Ages. Improved techniques in farming had led to greater food production, population growth and commercial expansion which were to pave the way for the industrial, scientific and technological progress of later centuries. Contacts with Eastern civilizations were made by the Crusaders, by curious travellers and by merchants eager for trading opportunities.

By the end of the twelfth century, the struggle between the Papacy and the Holy Roman Empire had left many Italian cities independent republics. Having consolidated their military victories, many of these cities embarked on substantial trading enterprises, and some established centers for higher learning. In particular, ships from Genoa and Venice, laden with cargo for and from distant lands, helped to extend the maritime dominions of these cities which became the capitals of small em

Fast Fact

Leonardo of Pisa, known as Fibonacci (Lived c. 1170 – c. 1245.) was the greatest Western mathematician of the Middle Ages. In the absence of his contributions, the scientific revolution started by Nicolaus Copernicus in 1543 would not have been possible. Fibonacci introduced the Hindu-Arabic numeral system to Europe through his book "Liber Abaci" (The Book of Calculation) in 1202, which ultimately allowed science and mathematics to flourish. This work included the famous sequence now named after him, but its primary purpose was to promote the use of Arabic numerals (modern number system) over Roman numerals.

Leonardo Pisano Fibonacci

• Known For: Noted Italian mathematician and number theorist; developed Fibonacci Numbers and the Fibonacci Sequence
• Also Known As: Leonard of Pisa
• Born: 1170 in Pisa, Italy
• Father: Guglielmo
• Died: Between 1240 and 1250, most likely in Pisa
• Education: Educated in North Africa; studied mathematics in Bugia, Algeria
• Published Works: Liber Abaci (The Book of Calculation), 1202 and 1228; Practica Geometriae (The Practice of Geometry), 1220; Liber Quadratorum (The Book of Square Numbers), 1225
• Awards and Honors: The Republic of Pisa honored Fibonacci in 1240 for advising the city and its citizens on accounting issues.
• Notable Quote: “If by chance I have omitted anything more or less proper or necessary, I beg forgiveness, since there is no one who is without fault and circumspect in all matters.”

Beginnings

Fibonacci lived in the Middle Ages. One consequence of this is his biographical details are rather sketchy. Born in the Italian city of Pisa sometime in the years 1170 to 1175, we know his given name was Leonardo Bonacci. Later he became Leonardo of Pisa and then Fibonacci. He was not known as Fibonacci in his lifetime.

His father’s name was Guglielmo Bonacci, a public official concerned with taxation of trade between Pisa and North Africa. Fibonacci’s father spent a lot of ti

Leonardo Pisano Fibonacci (1170–1240 or 1250) was an Italian number theorist. He introduced the world to such wide-ranging mathematical concepts as what is now known as the Arabic numbering system, the concept of square roots, number sequencing, and even math word problems.

Early Years and Education

Fibonacci was born in Italy but obtained his education in North Africa. Very little is known about him or his family and there are no photographs or drawings of him. Much of the information about Fibonacci has been gathered by his autobiographical notes, which he included in his books.

Mathematical Contributions

Fibonacci is considered to be one of the most talented mathematicians of the Middle Ages. Few people realize that it was Fibonacci that gave the world the decimal number system (Hindu-Arabic numbering system), which replaced the Roman numeral system. When he was studying mathematics, he used the Hindu-Arabic (0-9) symbols instead of Roman symbols, which didn't have zeros and lacked place value.

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