On Quaternions and Octonions

John Horton Conway

ISBN 10: 1568811349 / ISBN 13: 9781568811345

Edité par A K Peters/CRC Press, 2003

Gut/Very good: Buch bzw. Schutzumschlag mit wenigen Gebrauchsspuren an Einband, Schutzumschlag oder Seiten. / Describes a book or dust jacket that does show some signs of wear on either the binding, dust jacket or pages. N° de réf. du vendeur M01568811349-V

Synopsis :

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. Topics covered include the geometry of complex numbers, quaternions and 3-dimensional groups, quaternions and 4-dimensional groups, Hurwitz integral quaternions, composition algebras, Moufang loops, octonions and 8-dimensional geometry, integral octonions, and the octonion projective plane.

À propos de l?auteur: John H. Conway, Derek A. Smith

Détails bibliographiques

Titre : On Quaternions and Octonions
Éditeur : A K Peters/CRC Press
Date d'édition : 2003
Reliure : Couverture rigide
Etat : very good