Date of Award
2012
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Chavez, Joseph
Second Advisor
Hasan, Zahid
Third Advisor
Trapp, Rolland, and Williams, Peter
Abstract
This thesis will focus on Euler's famous method for solving the infinite polynomial. It will show how he manipulated the sine function to find all possible points along the sine function such that the sine A would equal to y; these would be roots of the polynomial. It also shows how Euler set the infinite polynomial equal to the infinite product allowing him to determine which coefficients were equal to which reciprocals of the roots, roots squared, roots cubed, etc.
Recommended Citation
Meekins, Jack Dean, "Leonhard Euler's contribution to infinite polynomials" (2012). Theses Digitization Project. 4091.
https://scholarworks.lib.csusb.edu/etd-project/4091
