Essays on Fibonacci

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Perhaps no other number has fascinated scientists, mathematicians and artists alike as the Golden Ratio. Also known as the golden mean or golden section (depending on its application), the Golden Ratio is observed by many people to occur naturally, manifesting itself in many natural shapes and geometry. This interesting phenomenon has resulted in an almost cult-like fascination among many people. In fact, there are people, including notable scientists and mathematicians with the likes of Johannes Kepler, Leonardo Da Vinci and Fra Luca Pacioli, who refer to the Golden Ratio as the ‘Divine Proportion,’ suggesting that the Golden ...

Leonardo Pisa of Italy

Leonardo Pisano (Fibonacci) (1170 – 1250) was a popular Italian mathematician of the Medieval Period that made significant contributions to the history of finance. He was the first person to develop the value analysis concept (retracement) that compares the economic value and the contractual cash flow. Influenced by the economic evolution in the Mediterranean, he made lifetime discoveries that had a profound impact on public finance and capital enterprise in Europe. In his arithmetic book, ‘Liber Abaci’, Fibonacci expressed his discoveries of the mathematical concepts in commercial trade. He developed mathematical concepts of interest rates, calculation of profits, conversion of ...

Pythagorean triples have been first mentioned in the second millennium BC by Babylonians. The triple consists of three positive integers a, b and c, which are related to each other by the Pythagorean theorem a2 + b2 = c2. Thus, they represent the length of the three sides of a right Pythagorean triangle. Primitive Pythagorean triples are the triples, which are co-prime, therefore the only common positive divisor is 1.

One of the methods for generating Pythagorean triples was proposed by Leonardo of Pisa. His technique uses consequent odd integers, such as 1 and 3, then add them together in order to generate the ...