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Fun dogs who doesnt love them always kindFibonacci From Wikipedia, the free encyclopedia (Redirected from Fibinocci) You have new messages (last change). For the number sequence, see Fibonacci number. For the Prison Break character, see Otto Fibonacci. Fibonacci Nationality	Italian Fields	Mathematician Known for	Fibonacci number Fibonacci prime Brahmagupta–Fibonacci identity Fibonacci polynomials Fibonacci pseudoprime Fibonacci word Reciprocal Fibonacci constant Introduction of digital notation to Europe Pisano period Practical number

19th century statue of Fibonacci in Camposanto, Pisa. Leonardo Pisano Bogollo, (c. 1170 – c. 1250)[1] also known as Leonardo of Pisa, Leonardo Pisano, Leonardo Bonacci, Leonardo Fibonacci, or, most commonly, simply Fibonacci, was an Italian mathematician, considered by some "the most talented western mathematician of the Middle Ages."[2] Fibonacci is best known to the modern world for:[3] The spreading of the Hindu-Arabic numeral system in Europe, primarily through the publication in the early 13th century of his Book of Calculation, the Liber Abaci. A number sequence named after him known as the Fibonacci numbers, which he did not discover but used as an example in the Liber Abaci.[4] Contents [hide] 1 Biography 2 Liber Abaci 3 Fibonacci sequence 4 In popular culture 5 Books written by Fibonacci 6 See also 7 Notes 8 References 9 External links [edit]Biography

Leonardo Fibonacci was born around AD 1170 to Guglielmo Fibonacci, a wealthy Italian merchant. Guglielmo directed a trading post (by some accounts he was the consultant for Pisa) in Bugia, a port east of Algiers in the Almohad dynasty's sultanate in North Africa (now Bejaia, Algeria). As a young boy, Leonardo traveled with him to help; it was there he learned about the Hindu-Arabic numeral system.[5] Recognizing that arithmetic with Hindu-Arabic numerals is simpler and more efficient than with Roman numerals, Fibonacci traveled throughout the Mediterranean world to study under the leading Arab mathematicians of the time. Leonardo returned from his travels around 1200. In 1202, at age 32, he published what he had learned in Liber Abaci (Book of Abacus or Book of Calculation), and thereby introduced Hindu-Arabic numerals to Europe. Leonardo became an amicable guest of the Emperor Frederick II, who enjoyed mathematics and science. In 1240 the Republic of Pisa honored Leonardo, referred to as Leonardo Bigollo,[6] by granting him a salary. In the 19th century, a statue of Fibonacci was constructed and erected in Pisa. Today it is located in the western gallery of the Camposanto, historical cemetery on the Piazza dei Miracoli.[7] [edit]Liber Abaci

Main article: Liber Abaci In the Liber Abaci (1202), Fibonacci introduces 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, using lattice multiplication and Egyptian fractions, 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. 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 Fibonacci 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. [edit]Fibonacci sequence

Main article: Fibonacci number In the Fibonacci sequence of numbers, each number is the sum of the previous two numbers, starting with 0 and 1. Thus the sequence begins 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610 etc. The higher up in the sequence, the closer two consecutive "Fibonacci numbers" of the sequence divided by each other will approach the golden ratio (approximately 1 : 1.618 or 0.618 : 1). The golden ratio was used widely in the Renaissance in paintings. [edit]In popular culture

See also: Fibonacci numbers in popular culture Fibonacci's name was adopted by a Los Angeles-based art rock group, The Fibonaccis, that recorded from 1981 to 1987. Stock traders frequently look to the "Fibonacci retracement" when predicting future share prices. A youthful Fibonacci is one of the main characters in the novel Crusade in Jeans (1973). He was left out of the 2006 movie version, however. In The Da Vinci Code, the Fibonacci sequence was used as a code but also confused the characters. [edit]Books written by Fibonacci

Liber Abaci (1202), a book on calculations (English translation by Laurence Sigler, Springer, 2002) Practica Geometriae (1220), a compendium on geometry and trigonometry. Flos (1225), solutions to problems posed by Johannes of Palermo Liber quadratorum, ("The Book of Squares") on Diophantine equations, dedicated to Emperor Frederick II. See in particular the Brahmagupta–Fibonacci identity. Di minor guisa (on commercial arithmetic; lost) Commentary on Book X of Euclid's Elements (lost) [edit]See also

List of topics named after Fibonacci Brahmagupta–Fibonacci identity Elliott wave principle Engel expansion Fibonacci search technique Golden ratio Hylomorphism (computer science) Pisano period Practical number Primefree sequence Verner Emil Hoggatt, Jr. [edit]Notes

^ http://library.thinkquest.org/27890/biographies1.html ^ Howard Eves. An Introduction to the History of Mathematics. Brooks Cole, 1990: ISBN 0-03-029558-0 (6th ed.), p 261. ^ Leonardo Pisano - page 3: "Contributions to number theory". Encyclopædia Britannica Online, 2006. Accessed 18 September 2006. ^ Parmanand Singh. "Acharya Hemachandra and the (so called) Fibonacci Numbers". Math. Ed. Siwan, 20(1):28-30, 1986. ISSN 0047-6269] ^ http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibBio.html ^ See the incipit of Flos: "Incipit flos Leonardi bigolli pisani..." (quoted in the MS Word document Sources in Recreational Mathematics: An Annotated Bibliography by David Singmaster, 18 March 2004 - emphasis added), in English: "Here starts 'the flower' by Leonardo the wanderer of Pisa..." The basic meanings of "bigollo" appear to be "good-for-nothing" and "traveler" (so it could be translated by "vagrant", "vagabond" or "tramp"). A. F. Horadam contends a connotation of "bigollo" is "absent-minded" (see first footnote of "Eight hundred years young"), which is also one of the connotations of the English word "wandering". The translation "the wanderer" in the quote above tries to combine the various connotations of the word "bigollo" in a single English word. ^ Fibonacci's Statue in Pisa [edit]References

Goetzmann, William N. and Rouwenhorst, K.Geert, The Origins of Value: The Financial Innovations That Created Modern Capital Markets (2005, Oxford University Press Inc, USA), ISBN 0195175719. Grimm, R. E., "The Autobiography of Leonardo Pisano", Fibonacci Quarterly, Vol. 11, No. 1, February 1973, pp. 99-104. A. F. Horadam, "Eight hundred years young," The Australian Mathematics Teacher 31 (1975) 123-134. [edit]External links

Fibonacci Biography Who was Fibonacci? by Ron Knott. Goetzmann, William N., Fibonacci and the Financial Revolution (October 23, 2003), Yale School of Management International Center for Finance Working Paper No. 03-28 [1] Fibonacci at Convergence wallstreetcosmos.com, Fibonacci numbers and stock market analysis, (2008). O'Connor, John J and Robertson, Edmund F. "Leonardo Pisano Fibonacci – 1170 - 1250" in The MacTutor History of Mathematics archive. University of St Andrews website, Scotland, 1998. Liber Abaci and its Egyptian fraction methods Categories: 12th-century births | 1250 deaths | People from Pisa | 13th-century Latin writers | 13th-century mathematicians | Medieval European mathematics | Fibonacci numbers | Italian mathematicians | Number theorists | Italian Roman Catholics article discussion edit this page history watch Try Beta Tootsieroll44 my talk my preferences my watchlist my contributions log out navigation Main page Contents Featured content Current events Random article search interaction About Wikipedia Community portal Recent changes Contact Wikipedia Donate to Wikipedia Help toolbox What links here Related changes Upload file Special pages Permanent link Cite this page print/export Disable book creator Download as PDF Printable version languages Afrikaans العربية Aragonés Беларуская Bosanski Brezhoneg Български Català Česky Cymraeg Dansk Deutsch Eesti Ελληνικά Español Esperanto Euskara فارسی Fiji Hindi Français Galego 한국어 हिन्दी Hrvatski Bahasa Indonesia Íslenska Italiano עברית Қазақша Kiswahili Kreyòl ayisyen Latina Lietuvių Magyar മലയാളം मराठी مصرى Mirandés Монгол Nederlands 日本語 Norsk (bokmål) Norsk (nynorsk) Piemontèis Plattdüütsch Polski Português Română Русский Sicilianu Simple English Slovenčina Slovenščina Српски / Srpski Srpskohrvatski / Српскохрватски Suomi Svenska தமிழ் Taqbaylit ไทย Türkçe Українська Tiếng Việt Volapük Võro Winaray Žemaitėška 中文