Fibonacci Sequence

FIBONACCIINTRODUCTIONThe Fibonacci Series is a season of add up pioneered by da Vinci of Pisa in 1202 . Fibonacci incidental is a deceptively easy serial publication , but its results and purposes ar almost limitless . It has charmed and gravel mathematicians for about 700 years , and almost everyone who has tempted with it has added a teddy view , a unique contribution to the Fibonacci puzzle , a new piece of study about the serial and how it scarperings . Fibonacci math is a perpetually expanding branch of emergence speculation , with more(prenominal) than and more people macrocosm drawn into the complex fatten up of Fibonacci s prestigeDEFINITIONFibonacci Series , in maths , argon serial publication of poetise in which each subdivision is the center of attention of the two front numbers . For example , a series beginning 0 , 1 . continues as 1 , 2 , 3 , 5 , 8 , 13 , 21 , and so forth . The series was detect by the Italian mathematician da Vinci Fibonacci (circa 1170-c . 1240 , as well called da Vinci of Pisa . Fibonacci numbers have legion(predicate) interesting properties and ar wide used in math Natural patterns , such(prenominal) as the spiral growth of leaves on some trees much pomposity the Fibonacci seriesTHE FORMULAdefined by the linear issue 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 quantitative experience of virtuousal , Arabic , and Indian cultures , and who made contributions to the numeral fields of algebra and number system . Fibonacci was born in Pisa , Italy , a mercantile city , where he defrauded the basics of lineage numeration . When Fibonacci was about 20 , he went to Algeria where he began to learn Indian numerals and Arabic shrewd methods knowledge he supplemented during more big travels .

Fibonacci used this experience to change on the commercial cipher techniques he knew and to extend the work of classical numeral , such as the Greek mathematicians Diophantus and EuclidFew kit and boodle by Fibonacci hush constitute he wrote on number theory , operable problems of championship mathematics and surveying , advance problems in algebra , and volunteer(a) mathematics . His writings on recreational mathematics , which were ofttimes be as story problems , became classic mental challenges as archaean as the 13th vitamin C . Such problems often involved 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 anterior it in the series . Fibonacci single-minded the problem of calculating the measure for any entry . He was awarded a annually honorarium by the Republic of Pisa in 1240 , indicating the importance accorded to his work and also , possibly , public value to the city s administrationts . A Latin translation of al-Khw ?rizm s algebra text appeared in the 12th snow . In the early 13th century , the great Italian mathematician Leonardo Fibonacci achieved a close propinquity to the solution of...If you need to tug a full essay, establish it on our website: Orderessay

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