Fibonacci Sequence

FIBONACCIINTRODUCTIONThe Fibonacci Series is a sequence of add up pioneered by da Vinci of Pisa in 1202 . Fibonacci serial is a deceptively unreserved serial , but its results and purposes ar almost limitless . It has enchant and gravel mathematicians for about 700 years , and almost everyone who has tempted with it has added a parapraxis view , a remarkable contribution to the Fibonacci puzzle , a new piece of information about the serial and how it kit and boodle . Fibonacci math is a continuously expanding branch of number theory , with more(prenominal) than and more people being drawn into the complex spread out of Fibonacci s prestigeDEFINITIONFibonacci Series , in math , ar serial of poetize in which each member is the sum of the two anterior numbers . For example , a series beginning 0 , 1 . continues as 1 , 2 , 3 , 5 , 8 , 13 , 21 , and so forth . The series was discovered by the Italian mathematician da Vinci Fibonacci (circa 1170-c . 1240 , alike called da Vinci of Pisa . Fibonacci numbers have many interesting properties and are wide used in mathematics Natural patterns , such as the spiral growth of leaves on some trees much presentment the Fibonacci seriesTHE FORMULAdefined by the linear recurrence equation , 2 . are 1 , 1 , 2 , 3 , 5 , 8 , 13 , 21Fibonacci numbers are implemented in Mathematica as Fibonacci[n]THE MAN BEHIND FIBONACCI SERIESda Vinci Fibonacci or Leonardo of Pisa (1170 ?-1240 ) was an Italian mathematician , who compiled and supplemented the numeric knowledge of classical , Arabic , and Indian cultures , and who made contributions to the numeral fields of algebra and number theory . Fibonacci was born in Pisa , Italy , a mercantile city , where he defrauded the basics of lineage calculation . When Fibonacci was about 20 , he went to Algeria whe re he began to learn Indian numerals and Ara! bic shrewd methods knowledge he supplemented during more capacious travels .

Fibonacci used this experience to improve on the commercial work out techniques he knew and to extend the work of classical numeral , such as the Greek mathematicians Diophantus and EuclidFew works by Fibonacci hush live on he wrote on number theory , operable problems of chore mathematics and surveying , advanced problems in algebra , and recreational mathematics . His writings on recreational mathematics , which were ofttimes constitute as story problems , became classic mental challenges as early on as the 13th vitamin C . Such problems often problematic the summation of recurrent series , such as the Fibonacci series (kn kn-1 kn-2 - for example , 1 , 2 , 3 , 5 , 8 , 13 , which he discovered . Each termination of this series is called a Fibonacci number - the sum of the two numbers earlier it in the series . Fibonacci solved the problem of calculating the respect for any entry . He was awarded a annually compensation by the Republic of Pisa in 1240 , indicating the importance accorded to his work and also , possibly , public service to the city s administrationts . A Latin translation of al-Khw ?rizm s algebra text appeared in the 12th century . In the early 13th century , the great Italian mathematician Leonardo Fibonacci achieved a close approximation to the solution of...If you need to birth a full essay, order it on our website: OrderCustomPaper.com

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