Leonardo of Pisa and the succession of Fibonacci

Leonardo of Pisa and the succession of Fibonacci

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Leonardo de Pisa, also known as Leonardo Bigollo or, more popularly, as Fibonacci was an important Italian mathematician who lived in Pisa between the years 1170 and 1250. His fame comes precisely from the diffusion of his Indo-Arabic numeral system that It is still used today and by the well-known Fibonacci succession.

Due to the importance of Arab mathematical thinking, Fibonacci traveled through different Mediterranean countries to study with the leading Arab mathematicians of his time.

Based on what was studied there, he published his work "Liber Abaci", in which he showed for the first time the importance of the new numbering system in fields such as accounting, measurement conversion, currency exchange or calculation. So, in the Liber AbaciFibonacci describes zero, positional notation, the decomposition of numbers into prime factors and their divisibility criteria.

Another of his great contributions to mathematics was known as "Fibonacci Succession". This arises as a problem proposed in the Liber Abaci which consists of the following: How many pairs of rabbits will we get in a year if we start with a pair of rabbits that each month produces another pair that in turn procreates at two months of life?

In this way, the following infinite succession of natural numbers is born: 1, 1, 2, 3, 5, 8, 13, 21, 34 ... many of whose properties were discovered by Édouard Lucas, who gave him his current name.

However, this was not the only mathematician who used the "Fibonacci Succession". Kepler also described this succession, as well as the mathematician Robert Simson, who discovered in 1753 the relationship between two successive numbers in the "Fibonacci Succession" that follows the following formula fn + 1 / fn approaches the golden ratio according to It is getting closer to infinity.

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