OPUS Open Portal to University Scholarship

Title

The Chinese Remainder Theorem

Author

Carol S. Jackson, Governors State UniversityFollow

Date of Award

12-2021

Document Type

Thesis

Degree Name

Master of Science

Department

Mathematics

First Advisor

Dr. Jing Zhang

Second Advisor

Dr. Andrius Tamulis

Third Advisor

Dr. Heidi Lyne

Abstract

The oldest remainder problems in the world date back to 3^rd century China. The Chinese Remainder Theorem was used as the basis in calendar computations, construction, commerce and astronomy problems. Today, the theorem has advanced uses in many branches of mathematics and extensive applications in computing, coding and cryptography. The Chinese Remainder Theorem is an excellent example of how mathematics that emerged in the 3^rd century AC has developed and remains relevant in today’s world.

This paper will explore the historical development of the Chinese Remainder Theorem along with central properties of linear congruences. In addition to providing a historical overview of the Chinese Remainder Theorem, this paper will examine several modern applications of the Chinese Remainder Theorem.

Recommended Citation

Jackson, Carol S., "The Chinese Remainder Theorem" (2021). Mathematics Capstone Projects. 2.
https://opus.govst.edu/capstones_math/2