B.S. (Bachelor of Science)
Department of Mathematical Sciences
This project focuses on studying solutions to certain equations. The solutions sought are whole numbers. The equations considered in the project are certain Diophantine equations. The equations are created with two variables and set equal to a whole number in varying forms. The solutions to these equations are supposed to be positive whole numbers if solutions exist. The moniker “Diophantine Equations” is homage to later Greek mathematician Diophantos who worked on many mathematical concepts in Alexandria around A.D. 250. During the time of Diophantos and ancient Greece, all of the problem solving had to be done by hand. This project will now be focusing on directly automating Magma Computational Algebra to compute the potential solutions.
Hill, Alexandra J., "Computing Lattice Point Solutions to Certain Diophantine Equations" (2019). Honors Capstones. 327.
Northern Illinois University
Rights Statement 2
NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.