Leonardo of Pisa (Pisa, c. 1170 - Pisa, 1250), also known as Leonardo Pisano, Leonardo Fibonacci, or simply Fibonacci, was an Italian mathematician. He is best known for the discovery of the Fibonacci numbers, and for his role in the introduction to Europe of the modern Arabic positional decimal system for writing and manipulating numbers (algorism). Some consider him the "the most talented mathematician of the middle ages."
2006-06-19 04:55:13
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answer #1
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answered by anouska1983 4
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Fibonnaci was a very clever person, who came up with Fibonnaci numbers. It's a series of numbers like so:
0,1,1,2,3,5,8,13,... You add the previous two numbers to get the next. The special thing is when you divide one number by the previous one. The bigger the numbers of the squence you use the closer to get to the number 0·61803... which is a really special ratio.
It turns up all over the place in nature. E.g. pine cones, the pattern of the ridges on a pineapple skin and in the spiral of a shell. Also, if you draw a selection of rectangles of different proportions and ask people which is the most beautiful they will say the one whose sides come cloests to the 'Golden ratio' without even knowing about the ratio.
Anyway, google 'fibonnaci + biography' and you will find lots of stuff about him and the other maths things he did.
2006-07-01 06:32:54
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answer #2
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answered by flower 2
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Fibonnaci is a man who created a sequence of numbers he got the idea for those numbers by traveling with his dad and seeing merchants using numbers
2006-07-01 12:54:57
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answer #3
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answered by Anonymous
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The Fibonacci is a simple matrix that starts with 1 then adds 1 to get a sum of 2 the adds the previous number back into itself to get a sum of 3 (I +2=3) then repeats that sequence to get a ne sum of 5 (3+2=5).
2006-06-19 11:56:27
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answer #4
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answered by Torque 1
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In mathematics, the Fibonacci numbers, named after Leonardo of Pisa, known as Fibonacc
2006-06-19 11:57:12
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answer #5
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answered by eewill 2
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Fibonacci was an Italian mathematician.
He is famous for the Fibonacci sequence. Where on you start with the number one, add the number preceding it, then list it and repeat this form indefinitely.
11235813 etc
2006-06-19 11:55:42
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answer #6
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answered by csucdartgirl 7
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In mathematics, the Fibonacci numbers, named after Leonardo of Pisa, known as Fibonacci...
It's also a lovely cloche hat...
2006-06-19 12:13:13
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answer #7
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answered by Anonymous
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It's simple... it's a sequence of numbers, starting with 1,1, in which every subsequent number is the sum of the two numbers directly before it.
1,1,2,3,5,8,...
1+1 = 2
2+1 = 3
3+2 = 5
etc...
2006-06-19 12:02:37
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answer #8
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answered by absolut_sicilian 2
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it's a sequence of numbers starting with 1 and 1, where every number thereafter is the sum of the previous two numbers. It goes like this 112358.......
2006-06-19 11:56:47
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answer #9
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answered by bolivarj 1
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Leonardo of Pisa (Pisa, c. 1170 - Pisa, 1250), also known as Leonardo Pisano, Leonardo Fibonacci, or simply Fibonacci, was an Italian mathematician. He is best known for the discovery of the Fibonacci numbers, and for his role in the introduction to Europe of the modern Arabic positional decimal system for writing and manipulating numbers (algorism). Some consider him the "the most talented mathematician of the miBiography
Leonardo's father Guglielmo (William) was nicknamed Bonaccio ('good natured' or 'simple'). Leonardo was posthumously given the nickname Fibonacci (for filius Bonacci, son of Bonaccio). William directed a trading post (by some accounts he was the consul for Pisa) in Bugia, a port east of Algiers in the Almohad dynasty's sultanate in barbaresque North Africa (now Bejaia, Algeria), and as a young boy Leonardo traveled there to help him. This is where he learned about the Arabic numeral system.
Perceiving that arithmetic with Arabic numerals is simpler and more efficient than with Roman numerals, Fibonacci traveled throughout the Mediterranean world to study under the leading Arab mathematicians of the time, returning around 1200. In 1202, at age 32, he published what he had learned in Liber Abaci, or Book of Calculation.
Leonardo became a guest of the Emperor Frederick II, who enjoyed mathematics and science. In 1240 the Republic of Pisa honoured Leonardo, under his alternative name of Leonardo Bigollo (meaning good-for-nothing or traveller), by granting him a salary.
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Liber Abaci
In the Liber Abaci, Fibonacci says the following introducing the so-called "Modus Indorum" or the method of the Indians, today known as Arabic numerals.
After my father's appointment by his homeland as state official in the customs house of Bugia for the Pisan merchants who thronged to it, he took charge; and in view of its future usefulness and convenience, had me in my boyhood come to him and there wanted me to devote myself to and be instructed in the study of calculation for some days.
There, following my introduction, as a consequence of marvelous instruction in the art, to the nine digits of the Hindus, the knowledge of the art very much appealed to me before all others, and for it I realized that all its aspects were studied in Egypt, Syria, Greece, Sicily, and Provence, with their varying methods; and at these places thereafter, while on business.
I pursued my study in depth and learned the give-and-take of disputation. But all this even, and the algorism, as well as the art of Pythagoras, I considered as almost a mistake in respect to the method of the Hindus. (Modus Indorum). Therefore, embracing more stringently that method of the Hindus, and taking stricter pains in its study, while adding certain things from my own understanding and inserting also certain things from the niceties of Euclid's geometric art. I have striven to compose this book in its entirety as understandably as I could, dividing it into fifteen chapters.
Almost everything which I have introduced I have displayed with exact proof, in order that those further seeking this knowledge, with its pre-eminent method, might be instructed, and further, in order that the Latin people might not be discovered to be without it, as they have been up to now. If I have perchance omitted anything more or less proper or necessary, I beg indulgence, since there is no one who is blameless and utterly provident in all things.
The nine Indian figures are:
9 8 7 6 5 4 3 2 1
With these nine figures, and with the sign 0 ... any number may be written. — (Ref. Sigler, 2003 and Grimm 1973 see references)
In this book he showed the practical importance of the new number system by applying it to commercial bookkeeping, conversion of weights and measures, the calculation of interests, money-changing, and numerous other applications. The book was well received throughout educated Europe and had a profound impact on European thought, although the use of decimal numerals did not become widespread until the invention of printing almost three centuries later
ddle ages."[1]
2006-07-03 10:51:17
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answer #10
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answered by Anonymous
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