This was the first introduction of the decimal number system to the Latin-speaking world. The first chapter of Part 1 begins: "These are the nine figures of the Indians: 9 8 7 6 5 4 3 2 1. With these nine figures, and with this sign 0 which in Arabic is called zephirum', any number can be written." (Knott, Ron). Dealing with operations in whole numbers systematically, he also proposed the idea of the bar (solidus) for fractions, and went on to develop rules for converting fraction factors into the sum of unit factors. At the end of the first part of the book, he presented tables for multiplication, prime numbers and factor numbers. In the second part he demonstrated mathematical applications to commercial transactions. In part three he gave many examples of recreational mathematical problems, much like the type which are enjoyed today, problems which challenge the mind yet do not server any real purpose for the world. Next he prepared a thesis on series from which was derived what is now called the Fibonacci series. This was a sequence in which each term is the sum of two terms immediately preceding it or in an algebratic expression Fk=Fk-1+Fk-2 (Ram, Rajesh). From here we get the beginning of the sequence as 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, Fibonacci sequences have proven useful in number theory, geometry, the theory of continued fractions, genetics, computer science, and many other fields. They also arise in many unrelated phenomena, for example, the Golden Section or Golden Ratio = ~1.6180, a shape valued in art and architecture because of its pleasing proportions, and has long been observed occurring in natural systems such as the population of Rabbits, shown later on, spiral arrangement of petals, and branches on certain types of flowers and plants.
To better understand the link between the Fibonacci numbers and Golden Section, represented by the Greek letter Phi ( µ), one needs to understand exactly how Phi is calculated, for it is the basis of some of the greatest architectural projects in the history of humanity.
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...
