Editing Fibonacci (section)

{{Short description|Italian mathematician (c. 1170 – c. 1240/50)}}
{{About||the number sequence|Fibonacci number|the Prison Break character|Otto Fibonacci}}
{{pp-semi-indef|small=yes}}
{{Infobox person
| nickname           = {{ubl|Leonardo Fibonacci|Lionardo Fibonacci|Leonardo di Pisa|Leonardo Bigollo Pisano}}
| name               = Fibonacci
| image              = Leonardo da Pisa.jpg
| caption            = Statue of Fibonacci (1863) by Giovanni Paganucci in the [[Camposanto Monumentale]], Pisa{{efn|Fibonacci's actual appearance is not known.<ref name=statue>{{cite web |url=http://www.epsilones.com/paginas/artes/artes-027-historia-estatua-ingles.html |title=Fibonacci's Statue in Pisa |publisher=Epsilones.com |access-date=2010-08-02 |archive-date=2014-02-22 |archive-url=https://web.archive.org/web/20140222022051/http://www.epsilones.com/paginas/artes/artes-027-historia-estatua-ingles.html |url-status=live }}</ref>}}
| birth_name         = Leonardo Bonacci
| birth_date         = {{c.|1170}}
| birth_place        = [[Pisa]],<ref>{{citation|last1=Smith|first1=David Eugene|last2=Karpinski|first2=Louis Charles|title=The Hindu–Arabic Numerals|year=1911|page=128|url=https://books.google.com/books?id=wEw6AAAAMAAJ&pg=PA128|location=Boston and London|publisher=Ginn and Company|access-date=2016-03-02|archive-date=2023-03-13|archive-url=https://web.archive.org/web/20230313121951/https://books.google.com/books?id=wEw6AAAAMAAJ&pg=PA128|url-status=live}}.</ref> [[Republic of Pisa]]
| death_date         = {{c.|lk=no}} {{death date and age|1250|||1170||}}
| death_place        = Pisa, Republic of Pisa
| occupation         = [[Mathematician]]
| known_for          = {{Plainlist|
* {{Lang|la|[[Liber Abaci]]}}
* Popularizing the [[Hindu–Arabic numeral system]] in Europe
* [[Congruum]]
* [[Fibonacci number]]s
* [[Greedy algorithm for Egyptian fractions|Fibonacci–Sylvester method]]
* [[Formulas_for_generating_Pythagorean_triples#Fibonacci's_method|Fibonacci method]]}}
| father             = Guglielmo Bonacci
}}

'''Leonardo Bonacci''' ({{c.|1170}} – {{c.|1240–50}}),<ref name=Knott>{{cite web |first=R. |last=MacTutor |url=http://www-history.mcs.st-and.ac.uk/Biographies/Fibonacci.html |title=Leonardo Pisano Fibonacci |publisher=www-history.mcs.st-and.ac.uk |access-date=2018-12-22 |archive-date=2019-10-28 |archive-url=https://web.archive.org/web/20191028210911/http://www-history.mcs.st-and.ac.uk/Biographies/Fibonacci.html |url-status=live }}</ref> commonly known as '''Fibonacci''',{{efn|{{IPAc-en|ˌ|f|ɪ|b|ə|ˈ|n|ɑː|tʃ|i}} {{respell|FIB|ə|NAH|chee}},<ref>{{Cite dictionary |url=http://www.lexico.com/definition/Fibonacci,+Leonardo |archive-url=https://web.archive.org/web/20210512082627/https://www.lexico.com/definition/fibonacci,_leonardo?s=t |url-status=dead |archive-date=2021-05-12 |title=Fibonacci, Leonardo |dictionary=[[Lexico]] UK English Dictionary |publisher=[[Oxford University Press]]}}</ref> {{IPAc-en|USalso|ˌ|f|iː|b|-}} {{respell|FEEB|-}},<ref>[https://www.collinsdictionary.com/dictionary/english/fibonacci-series "Fibonacci series"] {{Webarchive|url=https://web.archive.org/web/20190623162150/https://www.collinsdictionary.com/dictionary/english/fibonacci-series |date=2019-06-23 }} and {{cite web|url=https://www.collinsdictionary.com/dictionary/english/fibonacci-sequence|title=Fibonacci sequence|work=[[Collins English Dictionary]]|publisher=[[HarperCollins]]|access-date=23 June 2019|archive-date=12 June 2012|archive-url=https://web.archive.org/web/20120612123014/https://www.collinsdictionary.com/dictionary/english/fibonacci-sequence|url-status=live}}</ref><ref>{{Cite Merriam-Webster|Fibonacci number|access-date=23 June 2019}}</ref> {{IPA|it|fiboˈnattʃi|lang}}.}}{{efn|Also known as '''Leonardo of Pisa''' ({{langx|it|Leonardo di Pisa}}) or '''Leonardo Bigollo Pisano''' ('Leonardo the Traveller from Pisa').<ref name=livio/>}} was an [[Italians|Italian]] [[mathematician]] from the [[Republic of Pisa]], considered to be "the<!--The cited book uses a lower-case initial "t" in "the", and this is in quotation marks, so lower case should be used.--> most talented Western mathematician of the [[Middle Ages]]".<ref>[[Howard Eves|Eves, Howard]]. ''An Introduction to the History of Mathematics''. Brooks Cole, 1990: {{ISBN|0-03-029558-0}} (6th ed.), p. 261.</ref>

The name he is commonly called, ''Fibonacci'', is first found in a modern source in a 1838 text by the Franco-Italian mathematician [[Guglielmo Libri Carucci dalla Sommaja|Guglielmo Libri]]<ref>{{cite book|first=Keith|last= Devlin|author-link=Keith Devlin|title=Finding Fibonacci: The Quest to Rediscover the Forgotten Mathematical Genius Who Changed the World|publisher=Princeton University Press|year=2017|page=24}}</ref><ref name="Pask2015">{{cite book|author=[[Colin Pask]]|title=Great Calculations: A Surprising Look Behind 50 Scientific Inquiries|url=https://books.google.com/books?id=fvjIBAAAQBAJ&pg=PT35|date=7 July 2015|publisher=Prometheus Books|isbn=978-1-63388-029-0|page=35|access-date=19 January 2020|archive-date=13 March 2023|archive-url=https://web.archive.org/web/20230313121952/https://books.google.com/books?id=fvjIBAAAQBAJ&pg=PT35|url-status=live}}</ref> and is short for {{lang|la|filius Bonacci}} ('son of Bonacci').<ref>[[Keith Devlin]], ''The Man of Numbers: Fibonacci's Arithmetic Revolution,'' A&C Black, 2012 p. 13.</ref>{{efn|The etymology of ''Bonacci'' is 'good-natured', so the full name means 'son from a good-natured [family]'.<ref name=livio>{{cite book|last=Livio|first=Mario|author-link=Mario Livio|title=The Golden Ratio: The Story of Phi, the World's Most Astonishing Number|url=https://books.google.com/books?id=bUARfgWRH14C|orig-year=2002|edition=First trade paperback|year=2003|publisher=[[Random House|Broadway Books]]|location=New York City|isbn=0-7679-0816-3|pages=92–93|access-date=2018-12-19|archive-date=2023-03-13|archive-url=https://web.archive.org/web/20230313121951/https://books.google.com/books?id=bUARfgWRH14C|url-status=live}}</ref>}} However, even as early as 1506, Perizolo, a notary of the [[Holy Roman Empire]], mentions him as "Lionardo Fibonacci".<ref>{{Cite book|url=https://nrc-publications.canada.ca/eng/view/fulltext/?id=fbfdddf4-d0e9-45fe-bef6-fe6d3cbecfa0|title=Fibonacci, his numbers and his rabbits|author=Drozdyuk, Andriy|author2=Drozdyuk, Denys|date=2010|publisher=Choven Pub|isbn=978-0-9866300-1-9|location=Toronto|pages=18|oclc=813281753|access-date=2020-01-26|archive-date=2020-02-17|archive-url=https://web.archive.org/web/20200217035426/https://nrc-publications.canada.ca/eng/view/fulltext/?id=fbfdddf4-d0e9-45fe-bef6-fe6d3cbecfa0|url-status=live}}</ref>
 
Fibonacci popularized the [[Hindu–Arabic numeral system|Indo–Arabic numeral system]] in the Western world primarily through his composition in 1202 of {{Lang|la|[[Liber Abaci]]}} (''Book of Calculation'')<ref>{{cite web|url=http://www.halexandria.org/dward093.htm|title=Fibonacci Numbers|website=www.halexandria.org|access-date=2015-04-29|archive-date=2019-10-13|archive-url=https://web.archive.org/web/20191013054050/http://halexandria.org/dward093.htm|url-status=live}}</ref><ref>[https://www.britannica.com/eb/article-4153/Leonardo-Pisano Leonardo Pisano: "Contributions to number theory"] {{Webarchive|url=https://web.archive.org/web/20080617154015/https://www.britannica.com/eb/article-4153/Leonardo-Pisano |date=2008-06-17 }}. [[Encyclopædia Britannica]] Online, 2006. p. 3. Retrieved 18 September 2006.</ref>  and also introduced Europe to the sequence of [[Fibonacci number]]s, which he used as an example in {{Lang|la|Liber Abaci}}.<ref>Singh, Parmanand. "Acharya Hemachandra and the (so called) Fibonacci Numbers". ''Math''. Ed. Siwan, 20(1):28–30, 1986. {{ISSN|0047-6269}}</ref>