Fibonacci Sequence

FIBONACCIINTRODUCTIONThe Fibonacci Series is a sequence of add up pioneered by da Vinci of Pisa in 1202 . Fibonacci serial is a deceptively simple-minded serial , but its results and purposes ar almost limitless . It has beguiled and gravel mathematicians for about 700 years , and almost everyone who has tempted with it has added a slice view , a remarkable contribution to the Fibonacci puzzle , a new piece of information about the serial publication and how it deeds . Fibonacci math is a continuously expanding branch of number surmisal , with more(prenominal) than and more people being drawn into the complex set off of Fibonacci s prestigeDEFINITIONFibonacci Series , in maths , atomic number 18 series of versify in which each member is the sum of the two precedent 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 widely used in mathematics Natural patterns , much(prenominal) as the spiral growth of leaves on some trees much debunk 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 quantitative knowledge of classical , Arabic , and Indian cultures , and who made contributions to the numeric fields of algebra and number theory . Fibonacci was born in Pisa , Italy , a mercantile city , where he defrauded the basics of lineage reason . When Fibonacci was about 20 , he went to Algeria where he began to le! arn Indian numerals and Arabic shrewd methods knowledge he supplemented during more commodious travels .

Fibonacci used this experience to improve on the commercial computing techniques he knew and to extend the work of classical numeral , such as the Greek mathematicians Diophantus and EuclidFew works by Fibonacci hush go he wrote on number theory , operable problems of communication channel mathematics and surveying , advanced problems in algebra , and recreational mathematics . His writings on recreational mathematics , which were ofttimes pose as story problems , became classic mental challenges as advanc e(prenominal) as the 13th vitamin C . Such problems often twisting 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 forego it in the series . Fibonacci solved the problem of calculating the protect 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 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 give way a full essay, order it on our website: BestEssayCheap.com

If you want to get a full essay, visit our page: c! heap essay