On Quaternions and Octonions ISBN: 9780429185861 Platform/Publisher: Taylor & Francis / A K Peters/CRC Press Digital rights:Users: Unlimited; Printing: Unlimited; Download: Unlimited Subjects: Mathematics & Statistics; Advanced Mathematics; Algebra;
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