On Quaternions and Octonions

von John H. Conway, Derek A. Smith

172 Seiten, Hardcover

Kurzbeschreibung des Verlags

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 familiar octonion algebra, concentrating on its remarkable "triality symmetry" after an appropriate study of Moufang loops. The authors also describe the arithmetics of the quaternions and octonions. The book concludes with a new theory of octonion factorization.

• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9781568811345
• Sprache: Englisch
• Erscheinungsdatum: 23.01.2003
• Größe: 240 x 161 mm
• Verlag: A K Peters/CRC Press