Date of Award
8-25-2023
Document Type
Thesis
Degree Name
Mathematics, MS
First Advisor
Jie Miao
Committee Members
Ferebee Tunno; Suzanne Melescue
Call Number
LD 251 .A566t 2023 K56
Abstract
Euler’s infinite product formula of sine is a classical math problem that was discovered by Euler in 1748 and is still generating interest and being researched by mathematicians today. The goal of this research is to analyze current published proofs for the formula and find those proofs that are most accessible to upper level undergraduate math students. Three different proofs are found to be suitable for our purpose, and two these proofs are modified so that they are easier to understand. Some well-known applications of the Euler’s formula are the Basel problem and Bernoulli numbers.
Rights Management
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Kinnison, Sarah Joy, "Euler's Infinite Product Formula of Sine" (2023). Student Theses and Dissertations. 156.
https://arch.astate.edu/all-etd/156
