Leonardo de Pisa and Interesting Results of the Fibonacci numbers

Leonardo de Pisa and Interesting Results of the Fibonacci numbers

Presenter(s)

Megan Elizabeth Schaner

Description

Leonardo de Pisa, better known as Fibonacci, is an Italian mathematician who is responsible for numerous mathematical notions and ideas. The most notable are the use of the Hindu-Arabic numerals in modern society and the famous Fibonacci sequence. These ideas were published in his two books Liber Abaci and Liber Quadratorum published in the early 13th century. The Fibonacci numbers are a set of numbers that make up a recursive sequence where a term is constructed by the sum of the two terms that immediately precede it. There are numerous identities and interesting facts revolving around the Fibonacci numbers such as the approximation of the famous Golden ratio, the sum of the even and odd indices of the Fibonacci numbers, and how consecutive Fibonacci numbers are relatively prime. This presentation will focus on how the fact that the greatest common divisor of two Fibonacci numbers is also a Fibonacci number helps to establish that a Fibonacci number divides another Fibonacci number if and only if the corresponding index of the divisor divides the corresponding index of the dividend.

Publication Date

4-22-2021

Project Designation

Capstone Project

Primary Advisor

Rebecca J. Krakowski

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project, College of Arts and Sciences

Leonardo de Pisa and Interesting Results of the Fibonacci numbers

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