This Is AuburnElectronic Theses and Dissertations

The Application of Complex Numbers and Quaternions in Navigation

Date

2020-11-30

Author

Lakhani, Alason

Type of Degree

Master's Thesis

Department

Mathematics and Statistics

Abstract

Complex numbers and quaternions have a wide array of applications. This paper beginsby briefly going over the history of complex numbers and quaternions, bringing up little knownfacts on main discoverers. Then, we dive into their important properties in relation to thenavigation applications we will go over. We will see their application in navigation can greatlyminimize time, work and error in various fields of navigation.