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.
Davison, Erin, "Quaternions and Octonions" (2013). Senior Independent Study Theses. Paper 948.
Bachelor of Arts
Senior Independent Study Thesis
© Copyright 2013 Erin Davison