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# Liber Abaci Essay

886 words - 4 pages

Leonardo Pisano was the first great mathematician of medievalChristian Europe. He played an important role in revivingancient mathematics and made great contributions of his own. After his death in 1240, Leonardo Pisano became known as LeonardoFibonacci. Leonardo Fibonacci was born in Pisa in about 1180, the son of a member of the government of the Republic of Pisa. When he was 12 years old, his father was made administer of Pisa's trading colony in Algeria. It was in Algeria that he was taught the art of calculating. His teacher, who remains completely unknown seemed to have imparted to him not only an excellently ...view middle of the document...

The Fibonacci sequenceis a sequence in which each term is the sum of two termsimmediately preceding it. The Fibonacci Sequence that has one asits first term is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55. . . . Thenumbers may also be referred to as Fibonacci numbers. Fibonaccisequences have proven useful in number theory, geometry, thetheory of continued fractions, and genetics. They also arise inmany unrelated phenomena, for example, the Golden Section, (whosevalue is 1.6180) a shape valued in art and architecture becauseof its pleasing proportions, and spiral arrangement of petals andbranches on certain types of flowers and plants. In the final part of the book Fibonnaci, a student of Euclid, applied the algebraic method. Fibonacci's book, the Liberabaci remained a standard text for the next two centuries. In 1220 he published Practica geometriae, a book on geometrythat was very significant to future studies of the subject. In ithe uses algebraic methods to solve many arithmetical andgeometrical problems. He also published Flos (flowers) in 1224.In this work he combined Euclidean methodology with techniques ofChinese and Arabic origin in solving determinate problems. Liber quadratorum was published in 1225("Book of SquareNumbers") was dedicated to the Holy Roman emperor, Frederick II.This book was devoted entirely to Diophantine equations of thesecond degree (i.e., containing squares). The Liber quadratorummay be considered Fibonacci's masterpiece. It is a systematicallyarranged collection of theorems, many invented by the author, whoused his own proofs to work out general solutions. Probably hismost creative work was in congruent numbers- numbers that givethe same remainder when divided by a given number. He worked outan original solution for finding a number that, when added to orsubtracted from a square number, leaves a square...

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