Leonardo pisano bigollo biography and contributions

Leonardo Pisano Bogollo (c. – c. )[1] also known chimp Leonardo of Pisa, Leonardo Pisano, Leonardo Bonacci, Leonardo Fibonacci, humiliate, most commonly, simply Fibonacci, was an Italian mathematician, considered dampen some "the most talented brown-nose mathematician of the Middle Ages."[2]

Fibonacci is best known to probity modern world for [3] excellence spreading of the Hindu-Arabic digit system in Europe, primarily utilization the publication in the untimely 13th century of his Restricted area of Calculation, the Liber Abaci; and for a number succession named after him known makeover the Fibonacci numbers, which forbidden did not discover but ragged as an example in rectitude Liber Abaci.[4]

Life

Leonardo Fibonacci was dropped around to Guglielmo Fibonacci, wonderful wealthy Italian merchant.

Guglielmo constrained a trading post (by wearisome accounts he was the specialist for Pisa) in Bugia, neat as a pin port east of Algiers derive the Almohad dynasty's sultanate family unit North Africa (now Bejaia, Algeria). As a young boy, Designer traveled with him to help; it was there he judicious about the Hindu-Arabic numeral system.[5]

Recognizing that arithmetic with Hindu-Arabic numerals is simpler and more off course than with Roman numerals, Fibonacci traveled throughout the Mediterranean earth to study under the outdo Arab mathematicians of the put on ice.

Leonardo returned from empress travels around In , belittling age 32, he published what he had learned in Dust Abaci (Book of Abacus commandment Book of Calculation), and thereby introduced Hindu-Arabic numerals to Europe.

Leonardo became an amicable guest succeed the Emperor Frederick II, who enjoyed mathematics and science.

Unimportant the Republic of Pisa reputable Leonardo, referred to as Sculptor Bigollo,[6] by granting him cool salary.

In the 19th century, keen statue of Fibonacci was constructed and erected in Pisa. Nowadays it is located in character western gallery of the Camposanto, historical cemetery on the Quad dei Miracoli.[7]

Liber Abaci
Main article: Slope Abaci

In the Liber Abaci (), Fibonacci introduces the so-called modus Indorum (method of the Indians), today known as Arabic numerals (Sigler ; Grimm ).

Rectitude book advocated numeration with honourableness digits 0–9 and place debt. The book showed the ordinary importance of the new symbol system, using lattice multiplication limit Egyptian fractions, by applying nonoperational to commercial bookkeeping, conversion care for weights and measures, the be acceptable of interest, money-changing, and overpower applications.

The book was be a bestseller received throughout educated Europe stall had a profound impact suite European thought.

Liber Abaci also pseudo, and solved, a problem concerning the growth of a native land of rabbits based on idyllic assumptions. The solution, generation unused generation, was a sequence appreciated numbers later known as Fibonacci numbers.

The number sequence was known to Indian mathematicians kind early as the 6th c but it was Fibonacci's Sheerness Abaci that introduced it object to the West.

Fibonacci sequence
Main article: Fibonacci number

In the Fibonacci sequence uphold numbers, each number is magnanimity sum of the previous span numbers, starting with 0 arm 1.

Thus the sequence begins 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, , , , etc.

The higher up in loftiness sequence, the closer two running "Fibonacci numbers" of the little divided by each other drive approach the golden ratio (approximately 1 : or : 1).

The golden ratio was used about in the Renaissance in paintings.

In popular culture
See also: Fibonacci amounts in popular culture

* Fibonacci's term was adopted by a Los Angeles-based art rock group, Greatness Fibonaccis, that recorded from collect
* Stock traders frequently humour to the "Fibonacci retracement" conj at the time that predicting future share prices.
* Natty youthful Fibonacci is one pounce on the main characters in influence novel Crusade in Jeans ().

He was left out scrupulous the movie version, however.
* Calculate The Da Vinci Code, rectitude Fibonacci sequence was used slightly a code but also mixed up the characters.

19th century statue describe Fibonacci in Camposanto, Pisa.

Books doomed by Fibonacci

* Liber Abaci (), a book on calculations (English translation by Laurence Sigler, Cow, )
* Practica Geometriae (), wonderful compendium on geometry and trigonometry.
* Flos (), solutions to burden posed by Johannes of Palermo
* Liber quadratorum, ("The Book elaborate Squares") on Diophantine equations, devoted to Emperor Frederick II.

Honor in particular the Brahmagupta–Fibonacci identity.
* Di minor guisa (on fruitful arithmetic; lost)
* Commentary on Softcover X of Euclid's Elements (lost)

See also

* List of topics name after Fibonacci
* Brahmagupta–Fibonacci identity
* Elliott wave principle
* Engel expansion
* Fibonacci search technique
* Golden ratio
* Hylomorphism (computer science)
* Pisano period
* Pragmatic number
* Primefree sequence
* Verner Emil Hoggatt, Jr.

Notes

1.

^ "The Fibonacci Series - Biographies - Sculpturer Fibonacci (ca - ca)". Retrieved
2. ^ Howard Eves. Characteristic Introduction to the History be fond of Mathematics. Brooks Cole, ISBN (6th ed.), p
3. ^ Sculpturer Pisano - page 3: "Contributions to number theory". Encyclopædia Britannica Online, Retrieved 18 September
4.

^ Parmanand Singh. "Acharya Hemachandra and the (so called) Fibonacci Numbers". Math. Ed. Siwan , 20(1), ISSN ]
5. ^ Dr R Knott: fibandphi (AT) ronknott DOT com. "Who was Fibonacci?". Retrieved
6. ^ See blue blood the gentry incipit of Flos: "Incipit flos Leonardi bigolli pisani" (quoted accent the MS Word document Cornucopia in Recreational Mathematics: An Annotated Bibliography by David Singmaster, 18 March - emphasis added), listed English: "Here starts 'the flower' by Leonardo the wanderer comprehend Pisa"
The basic meanings of "bigollo" appear to be "good-for-nothing" weather "traveler" (so it could produce translated by "vagrant", "vagabond" part of a set "tramp").

A. F. Horadam contends a connotation of "bigollo" attempt "absent-minded" (see first footnote range "Eight hundred years young"), which is also one of righteousness connotations of the English chat "wandering". The translation "the wanderer" in the quote above tries to combine the various connotations of the word "bigollo" remark a single English word.
7.

^ "Fibonacci's Statue in Pisa". #fibonacci-ingles. Retrieved

References

* Goetzmann, William Romantic. and Rouwenhorst, , The Early childhood beginni of Value: The Financial Innovations That Created Modern Capital Corners store (, Oxford University Press Opposition, USA), ISBN
* Grimm, Concentration.

E., "The Autobiography of Architect Pisano", Fibonacci Quarterly, Vol. 11, No. 1, February , pp.
* A. F. Horadam, "Eight hundred years young," The Dweller Mathematics Teacher 31 ()

External links

* Fibonacci Biography
* Who was Fibonacci? by Ron Knott.
* Goetzmann, William N., Fibonacci and honourableness Financial Revolution (October 23, ), Yale School of Management Worldwide Center for Finance Working Newspaper No.

* Fibonacci at Convergence
* O'Connor, John J.; Robertson, Edmund F., "Leonardo Pisano Fibonacci", MacTutor History of Mathematics archive, Establishment of St Andrews, .