Analysis of the application of Fibonacci sequence in different fields

Abstract

Fibonacci, an Italian mathematician, discovered the Fibonacci series after investigating an issue involving the reproduction of rabbits. This series is a very essential series that is utilized extensively across a wide variety of professional application domains. The objective of this paper is to present abstracts of five mathematical subjects in the hopes of throwing light on the significance of these topics as well as the practical applications they have. The author's goal is to illustrate the depth and breadth of mathematics, as well as the ways in which it permeates a variety of different fields, by doing a literature study and then addressing the aforementioned themes. Each summary will focus on a different topic of mathematics, such as statistics, geometry, calculus, number theory, and mathematical modelling. These summaries assist readers get a more in-depth grasp of the various areas of mathematics and an appreciation for the impact those branches have on our everyday lives.