Fibonacci Secrets

Fibonacci's Liber Abaci

Fibonacci's Liber Abaci
By Laurence Sigler
Publisher: Springer
Number Of Pages: 636
Publication Date: 2003-11-11
ISBN-10 / ASIN: 0387407375
ISBN-13 / EAN: 9780387407371
Product Description:
First published in 1202, Fibonacci's Liber abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. Its author, Leonardo Pisano, known today as Fibonacci, was a citizen of Pisa, an active maritime power, with trading outposts on the Barbary Coast and other points in the Muslim Empire. As a youth, Fibonacci was instructed in mathematics in one of these outposts; he continued his study of mathematics while traveling extensively on business and developed contacts with scientists throughout the Mediterranean world. A member of the academic court around the Emperor Frederick II, Leonardo saw clearly the advantages for both commerce and scholarship of the Hindu positional number system and the algebraic methods developed by al-Khwarizmi and other Muslim scientists. Though it is known as an introduction to the Hindu number system and the algorithms of arithmetic that children now learn in grade school, 'Liber abaci' is much more: an encyclopaedia of thirteenth-century mathematics, both theoretical and practical. It develops the tools rigorously, establishing them with Euclidean geometric proofs, and then shows how to apply them to all kinds of situations in business and trade - conversion of measures and currency, allocations of profit, computation of interest, alloying of currencies, and so forth. It is rigorous mathematics, well applied, and vividly described. As the first translation into a modern language of the 'Liber abaci', this book will be of interest not only to historians of science, but to all mathematicians and mathematics teachers interested in the origins of their methods.
Contents:
Liber abaci -- 1. Here begins the first chapter -- 2. On the multiplication of whole numbers -- 3. On the addition of whole numbers -- 4. On the subtraction of lesser numbers from greater numbers -- 5. On the divisions of integral numbers -- 6. On the multiplication of integral numbers with fractions -- 7. On the addition and subtraction and division of numbers with fractions and the reduction of several parts to a single part -- 8. On finding the value of merchandise by the principal method -- 9. On the barter of merchandise and similar things -- 10. On companies and their members -- 11. On the alloying of monies -- 12. Here begins chapter twelve -- 13. On the method elchataym and how with it nearly all problems of mathematics are solved -- 14. On finding square and cubit roots, and on the multiplication, division, and subtraction of them, and on the treatment of binomials and apotomes and their roots -- 15. On pertinent geometric rules and on problems of algebra and almuchabala -- 16. Notes for Liber abaci.

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Fibonacci Trading: How to Master the Time and Price Advantage
Publisher: McGraw-Hill | 2008 | 288 Pages | ISBN: 007149815X | PDF | 10.34 MB


Fibonacci Trading offers new insight into pinpointing the highs and lows in market trading with a proven approach based on a

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FIBONACCI TRADING

How Fibonacci Series is Different from other Number Series?
while answering this question i am having another question in my mind that is how the numbers are related with each others in that number series.if i got the answer for this question then that is the answer for the previous question also.

How the Numbers are related in Fibonacci Series?
The ratios are derived by dividing any number in the series by the next
higher number, after 3 the ratio is always around 0.625.
For Example take 5 and 8 , 5/8 = 0.625
After 89, it is always around 0.618. If you divide any Fibonacci number by the preceding number,
after 2 the number is always around 1.6 and after 144 the number is always around
1.618. These ratios are referred to as the "golden mean."


The Ratios .

1/1=1
2/1=2
3/2=1.5
5/3=1.66
8/5=1.6
13/8=1.625
21/13=1.61538
34/21=1.61538
55/34=1.61764
89/55=1.6181
134/89=1.6179

like that finding the ratios.in this ratios result you are able notice the magic number 1.618 all the results the decimal part will around 1.618.See the image below.

In that Diagram Note this it totally made up of squares.where as overall image is a rectangle.This rectangle, if you measure it, has the magic ratio of 1.618. Also if you look at the curved lines within each of the squares you will notice that these are infact quarter circles, but, as a whole you would be forgiven for thinking that they look like the cross section of a sea shell.
And you'd be right, for this is the same as the growth rate of the beautiful Nautilus Sea Shell

The Fibonacci Numbers Are the Numbers Which Exists in Fibonacci Sequence (or) Series.
Then the next question arised in our minds is then "What is Fibonacci Series?".

What is Fibonacci Series?

The Fibonacci Series is nothing but the Certain ratios of Number series that regarded as describing the natural proportions of things in the universe.

Why this number series is named as Fibonacci Series?

This number series was first observed by Leonardo Fibonacci the Italian Mathematician Who lived in thirteenth century.So this ratios of number series is named as Fibonacci Series.

What are all the numbers in Fibonacci Number Series?

The Fibonacci Number Series : 1,2,3,5,8,13,21,34,55,89,144,233,377...................................

How This Number Series Derived?

This number series is derived by starting number with 1 followed by 2 adding 1+2 =3 the third number is three 3 .then 2+3=5 the fourth number is 5 then 3+5=8 the 5th number is 8 then 8+5=13 the sixth number is 13 like that its goes on.