Quaternions and Octonions

Authors

Erin Davison, The College of Wooster

Abstract

The purpose of this paper is to investigate the algebraic systems the Quaternions and Octonions. It includes an introduction with the purpose of providing definitions from Calculus, Linear Algebra, and Abstract Algebra. We discuss the algebraic structure and geometric applications of the quaternions, as well as give an example of a special case quaternion. We consider the extension of the quaternions, the octonions, and conclude with the construction of these algebras by the Cayley-Dickson process.

Advisor

Bowen, Jennifer

Department

Mathematics

Recommended Citation

Davison, Erin, "Quaternions and Octonions" (2013). Senior Independent Study Theses. Paper 948.
https://openworks.wooster.edu/independentstudy/948

Disciplines

Applied Mathematics

Publication Date

2013

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis