ABSTRACT
This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special properties of 3- and 4-dimensional Euclidean spaces using quaternions, leading to enumerations of the corresponding finite groups of symmetries. The second half of the book discusses the less f
TABLE OF CONTENTS
part I|2 pages
The Complex Numbers and Their Applications to 1- and 2-Dimensional Geometry
part II|2 pages
The Quaternions and Their Applications to 3- and 4-Dimensional Geometry
part III|2 pages
The Octonions and Their Applications to 7- and 8-Dimensional Geometry
