Leonardo Fibonacci was born around 1170 A.D., and died around 1250 A.D. He was born in Pisa, Italy and died there too. Leonardo’s mom was Alessandra, and she died when he was nine. His father was Guglielmo Bonacci, who directed a trading post Bugia, Barbary. As a young boy, Leonardo traveled there to help him, and that’s where he learned about the Hindu-Arabic numeral system. He recognized that arithmetic with Hindu-Arabic numerals is simpler and more efficient that with Roman numerals and so he traveled throughout the Mediterranean world to study under the leading Arab mathematicians of the time. Leonardo returned from his travels around 1200 and in 1202, age 32, he published Liber Abaci. Through the Liber Abaci he introduced Hindu-Arabic numerals to Europe. Liber Abaci is a book that Leonardo Fibonacci wrote in 1202. In it Fibonacci introduces the so-called modus Indorum (method of the Indians), today known as the Arabic numerals. It shows the practical importance of the new numeral system, using lattice multiplication and Egyptian fractions, by applying it to commercial bookkeeping, conversion of weights and measures, the calculation of interest, money-changing, and other applications. Liber Abaci also posed, and solved, a problem involving the growth of a hypothetical population of rabbits based on idealized assumptions. The solution, generation by generation, was a sequence of numbers later known as the Fibonacci numbers. In the Fibonacci sequence of numbers, each number after the first two, is the sum of the previous two numbers. The sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, etc. The higher the sequence, the closer two consecutive numbers of the sequence divided by each other will approach the golden ratio ( approximately 1 : 1. 618 or 0.618 : 1). Leonardo became a guest of the Emperor Frederick II, who enjoyed mathematicians and science. In 1240 the Republic of Pisa honored Leonardo by granting him a salary. In the 19th century, a...

...By: Rachel
E-mail: shed30rar@aol.com
LeonardoFibonacciLeonardoFibonacci was born in Pisa, Italy around 1175 to Guilielmo Bonacci. Leonardo's father was the secretary of the Republic of Pisa and directed the Pisan trading colony. His father intended on Leonardo becoming a merchant. His father enlisted him in the Pisan Republic, sending him to various countries. As Leonardo continued to travel with his father, he acquired mathematical skills while in Bugia. Fibonacci continued to study throughout his travels, which ended around the year 1200. Leonardo began writing books on number theory, practical problems of business mathematics, surveying, advanced problems in algebra and recreational mathematics. Leonardo's recreational problems became known as story problems and became mental challenges in the 13th century. Of all the books he wrote we still have copies of Liber abbaci (1202), Practica geometriae (1220), Flos (1225), and Liber Quadratorum. Sadly his books on commercial arithmetic Di minor guisa is lost as well as his commentary on Book X Euclid's Elements. One of Leonardo's contributions to mathematics was his introducing the Decimal Number system into Europe. He was one of the first people to introduce the Hindu-Arabic number system into Europe. Fibonacci also introduced the Decimal Positional System, which originated from India and...

...AP European History
Period: E
Interpretive BiographyLeonardo Da Vinci is considered one of the greatest geniuses of all time. He was the epitome of the term "Renaissance Man", which means a person with many talents. During the Italian Renaissance Da Vinci's accomplishments ranged from many fields such as anatomy, engineering, mathematics, nature ,philosophy, painting, sculpting and architecture. His achievements in these fields stem from an early age, Da Vinci was an illegitimate child born of "Ser Piero, a notary, and Caterina, a peasant woman who were unmarried". At the age of 15 Da Vinci was sent to Florence to be an apprentice of an aspiring artist named Verrocchio. This is where Da Vinci's talent for painting was first seen it is said that Verrocchio was so impressed with Leonardo's addition to Verrocchio’s painting that he break his paint brushes and said I will never paint again. According to Giorgio Vasari, Leonardo's first demonstration of his talent in painting was while he was an apprentice in Verrocchio's studio. Leonardo helped in painting Verrocchio's Baptism of Christ he painted the left handed angel, which made the other figure look His contribution, the left-hand angel, made the other figures look bland and dull. It is said by Vasari that Verrocchio was so impressed by his apprentice's painting that it was said that he took his paint brushes and snapped and said that he will never paint again since Da...

...The Discovery of the Fibonacci Sequence
A man named Leonardo Pisano, who was known by his nickname, "Fibonacci", and named the series after himself, first discovered the Fibonacci sequence around 1200 A.D. The Fibonacci sequence is a sequence in which each term is the sum of the 2 numbers preceding it. The first 10 Fibonacci numbers are: (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89). These numbers are obviously recursive.
Fibonacci was born around 1170 in Italy, and he died around 1240 in Italy, but the exact dates of his birth and death are not known. He played an important role in reviving ancient mathematics and made significant contributions of his own. Even though he was born in Italy, he was educated in North Africa where his father held a diplomatic post. He published a book called Liber abaci, in 1202, after his return to Italy and it was in this book that the Fibonacci numbers were first discussed. It was based on bits of Arithmetic and Algebra that Fibonacci had accumulated during his travels with his father. Liber abaci introduced the Hindu-Arabic place-valued decimal system and the use of Arabic numerals into Europe. Though people were interested, this book was somewhat controversial because it contradicted some of the foremost Roman and Grecian Mathematicians of the time, and even proved many of their calculations to be false....

...Leonardo of Pisa or Fibonacci and the Issue of Moneylenders
NFaly Konate
Texas A&M University – Central Texas
FIN 590
Dr. Mary Kelly
Summer 2012
Northern Italy in the early thirteen century was a land subdivided into multiple feuding city-states. Among the many remnants of defunct Roman Empire was a numerical system (I, ii, iii, iv…) singularly ill suited to complex mathematical calculation, let alone the needs of commerce. Nowhere was this more of a problem than in Pisa, where merchants also had to contend with seven different forms of coinage in circulation. By comparison, economical life in the Eastern world was far more advanced, just as it had been in the time of Charlemagne. To discover modern finance, Europe needed to import it. In this, a young mathematician called Leonardo of Pisa, or Fibonacci played a crucial role.
LeonardoFibonacci also known as Leonardo Pisano, Leonardo of Pisa, was the greatest European mathematician of the middle ages. He was born in Pisa in Italy circa 1170 and died sometime after 1240. Leonardo’s father, Gugliemo, was a customs official and engaged in commerce representing Pisa at Bougie on the north coast of Africa. Young Leonardo consequently received a Moorish education as well as the traditional European education and was introduced to Hindu-Arabic numbers. Later on, he traveled about the...

...William Wordsworth (1770-1850), an early leader of romanticism in English poetry, ranks as one of the greatest lyric poets in the history of English literature.
William Wordsworth was born in Cookermouth, Cumberland, on April 7, 1770, the second child of an attorney. Unlike the other major English romantic poets, he enjoyed a happy childhood under the loving care of his mother and in close intimacy with his younger sister Dorothy (1771-1855). As a child, he wandered exuberantly through the lovely natural scenery of Cumberland. At Hawkshead Grammar School, Wordsworth showed keen and precociously discriminating interest in poetry. He was fascinated by "the divine John Milton," impressed by George Crabbe's descriptions of poverty, and repelled by the "falsehood" and "spurious imagery" in Ossian's nature poetry.
From 1787 to 1790 Wordsworth attended St. John's College, Cambridge, always returning with breathless delight to the north and to nature during his summer vacations. Before graduating from Cambridge, he took a walking tour through France, Switzerland, and Italy in 1790. The Alps gave him an ecstatic impression that he was not to recognize until 14 years later as a mystical "sense of usurpation, when the light of sense/ Goes out, but with a flash that has revealed/ The invisible world"--the world of "infinitude" that is "our beings's heart and home."
Sojourn in France
Revolutionary fervor in France made a powerful impact on the young idealist, who returned...

...Mini Biography on Destery Smith (Moore)
Destery Smith (aka Destery Moore) was born on February 19, 1991 in Bakersfield CA. From a
young age Destery aspired to be a director in films and now at age 21 he has truly made a
name for himself. He has a love for music, video games, making his own video's, DJing, and
making techno music and with his love for all of these things, he has become famous. He
makes youtube videos with his best friend on a channel called DesandNate where they talk
about anything and everything. It shows their awkward and hilarious sense of humor. He also
has his own channel called CapnDesDes where he does almost the same thing but also adds
a show called proper perversions. If you find yourself looking for an inappropriate laugh,
looking at this show would be wise. These channels have brought him over a million
subscribers and over 93 million youtube video views. He also has a gaming channel called
DesPwns. Somehow with all of this he still has time to create wonderful music and even has a
music single out called Caves of Ice, released on itunes. He has had concerts, DJ’d at
different places, and been invited to many different youtube events. here is a video of him
sharing more about his early life.
http://www.facebook.com/l.php?u=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dd
JOCwcmjTmI&h=KAQEXFtAc
And here’s a lionk to his music.
https://www.youtube.com/watch?v=CXVaXniOMtE
...

...Leonardo Pisano (Fibonacci)
0,1,1,2,3,5,8,13… Does this sequence look familiar? If you thought for one second that this was the Fibonacci sequence then you’re right! The Fibonacci sequence was one of the few things created by Leonardo Pisano, considered the greatest European mathematician in the middle ages, that was a significant contribution to math. In order to gain a better understanding of the life ofLeonardo Pisano, better known as Fibonacci, and his contributions to the mathematical society let us first take a look at the brief history of what is known of Leonardo from birth to death.
Leonardo Pisano was born in Pisa, Italy roughly around 1175 as the son of Guglielmo Bonaccio. Guglielmo worked as a secretary and at a diplomatic post in numerous factories located on the southern and eastern coasts of the Mediterranean for merchants of Pisa and as a result Leonardo was educated in the Algerian city of Bejaia (then known as Bougie and Bugia) instead of in Italy. It was there where he was taught mathematics. Aside from this not much is known about his childhood. He was later able to tour the Mediterranean area with his father up until 1200 when he decided to stop. During the time spent in his travels, Leonardo learned about the advantages of the mathematical systems of each of the countries that he visited with...

...patterns in nature focusing in the Fibonacci sequence as a main and looking for angles. What was first done was to count a pine cone’s pieces, a flower’s petals, a celery, and grapes to find the Fibbonacci sequence which not found only on the celey and on the flower, elsewhere the Fibonacci was there.
After finishing the experiment I started noticing more patterns relating to the Fibonacci sequence. For example, in a tree you start counting by the tree trunk; if you start going up there are two branches with three leaves, then five, them eight until there is no more to count you go to the next branch and do the same thing until you reach the top of the tree. I think math can be found practically everywhere you look if you can find the right sequence. When you are looking for patterns there is at least one for anything. Math can be very important and people can start caring more about it if they know it is all around them.
Introduction
In my science fair project I am going to try to find mathematical patterns in nature. The main pattern I am looking for is for the Fibonacci sequence, which consist of the numbers in the following order: 1,1,2,3,5,8,13,21,34… so forth and so on always adding the number before. I will try my experiments in trees, pine combs, flowers, fruits, seashells, and vegetables. I think that the Fibonacci sequence will only be found in a pine comb or in a flower. I am going...