During the twelfth and thirteenth centuries, many far-reaching changes in the social, political, and intellectual lives of people and nations were taking place. Europe had emerged from the period of barbarian invasions and disruptions known as the Dark Ages. Improved techniques in farming had led to greater food production, population growth, and commercial expansion which were to pave the way for the industrial, scientific, and technological progress of later centuries. Contacts with Eastern civilizations were made by the Crusaders, by curious travelers, and by merchants looking for trading opportunities. Into this world of change, in 1170 AD, a man was born who would forever be remembered as one of the greatest mathematicians of the Middle Ages - Leonardo da Pisa, who later became known as Leonardo Fibonacci. While his contributions to the world of mathematics are all quiet extraordinary, he is best known as the discoverer of a sequence, named the Fibonacci Sequence, which showed that no matter how random this world may seem there is underlying order to it and the most "natural" events can be, in fact, modeled with mathematical equations. Of course, attempting to find a perfect equation, thus a perfect solution, for the universe is viewed as impossible by many of the best minds in the field, it is possible to make good predictions which are based on trends.
He was the son of a Pisan merchant who also served as a customs officer in North Africa. It was in Algeria that he was taught the art of calculating. His teacher, who remains completely unknown to this day, seemed to have given him not only an excellently practical and well-rounded foundation in mathematics, but also a true scientific curiosity. In 1202, two years after finally settling in Pisa, Fibonacci produced his most famous book, Liber abaci - the book of the Calculator. This book consisted of four parts, and was revised by him a quarter of a century later in 1228.
Leonardo Pisano is better known by his nickname, Fibonacci. ... All of these are fibonacci numbers. ... Pine cones also show the Fibonacci Spirals clearly. ... Notice that 2, 3 and 5 are consecutive Fibonacci numbers. ... This time 3, 5 and 8 are consecutive numbers in the Fibonacci sequence. ...
¨Around the year 1200, Fibonacci ended his travels in Pisa. While he was there Fibonacci wrote a few important books. ... These problems concerned; the price of good, coaculating profits and converting money from the different Mediterranean countries.In the third section is an introduction of Fibonacci's numbers and sequences that he is best known for today. ... How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair, which from the second month on becomes productive.Answer:The resulting sequence is 1,1,2,3,5,8,13...
Explanations of the Golden Mean can be seen with a brief description of the Fibonacci sequence. The Fibonacci sequence comes up everywhere in nature from the branches and leaves on trees, to the reproductive cycle of certain animals. ... On many trees, branches come forth as you go up the tree in this sequence. ... We find that the ratio of one number in the sequence to the previous number in the sequence approaches the Golden ratio. ...
Music and Math go hand in hand. After listening to blacksmith hammers pounding out different pitches, Pythagoras discovered that by plucking a string, one sound was produced. Then by dividing the string in half and plucking it again, the sound produced is exactly one octave higher than the first not...
The DaVinci Code by Dan Brown The first thing that happens in the DaVinci code is that the curator of the Louvre Museum in Paris, get murdered. Jacques Sauniere was a member of a secret society called the Priory of Sion. According to legend, the Priory of Sion is protecting the location of t...
