Fibonacci Sequence

FIBONACCIINTRODUCTIONThe Fibonacci Series is a sequence of add up pioneered by da Vinci of Pisa in 1202 . Fibonacci serial is a deceptively plain serial publication , but its results and purposes ar almost limitless . It has entranced and gravel mathematicians for about 700 years , and almost everyone who has tempted with it has added a acrimonious view , a remarkable contribution to the Fibonacci puzzle , a new piece of information about the serial publication and how it industrial plant . Fibonacci math is a continuously expanding branch of number possibleness , with more(prenominal) than and more people being drawn into the complex refine of Fibonacci s prestigeDEFINITIONFibonacci Series , in math , are series of pen in which each member is the sum of the two former numbers . For example , a series beginnin g 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 , in like manner called da Vinci of Pisa . Fibonacci numbers have many interesting properties and are astray used in mathematics Natural patterns , much(prenominal) as the spiral growth of leaves on some trees much viewing 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 routine fields of algebra and number theory . Fibonacci was born in Pisa , Italy , a mercantile city , where he defrauded the basics of lineage deliberateness . When Fibona cci was about 20 , he went to Algeria where ! he began to learn Indian numerals and Arabic shrewd methods knowledge he supplemented during more abundant travels . Fibonacci used this experience to improve on the commercial deliberation techniques he knew and to extend the work of classical numeral , such as the Greek mathematicians Diophantus and EuclidFew works by Fibonacci hush make up he wrote on number theory , operable problems of personal line of credit mathematics and surveying , advanced problems in algebra , and recreational mathematics . His writings on recreational mathematics , which were ofttimes be as story problems , became classic mental challenges as archean as the 13th vitamin C . Such problems often affect 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 previous it in the series . Fibonacci solved the problem of cal culating the tax for any entry . He was awarded a annually allowance 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 queer a full essay, order it on our website: BestEssayCheap.com

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