Math

The Fibonacci Numbers And The Golden SectionLeonardo Fibonacci or Leonardo of Pisa (1170-1240 ) is an Italian mathematicsematician who only works on numeric knowledge of classical , Arabic and Indian culture . He made some contributions in the compass of algebra and number theory . He went to Algeria and continues to learn and impart much knowledge . The works of Fibonacci exist which he wrote in the product line of number theory , practical problems in business mathematics and surveying and some recreational math . Such of these atomic number 18 the entirenessmation of repeated series c anyed the Fibonacci series . Each of these series is called the Fibonacci Numbers- the sum of two preceding it in series . He was awarded a yearly salary by the republic of Pisa in 1240 indicating the vastness of his work in different field of mathematics and in like manner in the public serviceThe Fibonacci numbers be 0 ,1 ,1 ,2 ,3 ,5 ,8 ,13 .The grow value of the taking over in an example of a recursive sequence which is obeying the rule that to calculate the next stipulationination adept simply the sum of the preceding two therefore 1 and1 are 2 , 1 and 2 are 3 , 2 and 3 are 5 and so on . These simple chassiss are seemingly remarkable recursive , which matter to by mathematician for the past centuries . Its properties show an array of strike s and new discoveries from aesthetic doctrines of ancient Greeks to the growth patterns of plants (not reference block the population of rabbitsSome of the artwork that is included in the useful discovery of the sequence is The Ahmes Papyrus of Egypt which gives an account of building the Great upbeat of Giaz in 4700BC with the proportions according to a Sacred Ratio . The Parthenon , which scratch by Phidias . The Mona Lisa by Leonardo Da Vinci . This gestated that Leonardo as mathematician tr! ied to incorporate of mathematics into art .

This painting seems to be made purposely line up with prospering rectangleThe numeric pattern of Fibonacci numbers tail end be see in the Pascal s triangle using the Fibonacci series to bring all the right angle triangle with integers sides based on Pythagoras theoremThe well-situated SectionThe well-off partition of numbers are ( 0 .and 1 .this golden section is also called the golden symmetry , the golden mean and the divine proportion . The value of this is (1 sqrt5 /2 . It can be describe by the pattern of the Fibonacci sequence The topic of this ration x1 1 /1 , x2 2 /1 . Xn f (n 1 /f (n ) then using the recursive pattern . This equation for solving for x is really a quadratic equation equation and is positive root . They believe that this ratio was the just about perfect proportionWe can also describe the golden section by using the golden rectangle The process is by winning the squares with the sides whose length correspond to the term of the sequence , and arrange them outwardly spiraling pattern . The progeny at each head are roughly the selfsame(prenominal) share and that , the...If you want to read a full essay, ordination it on our website: OrderCustomPaper.com

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