02654oam 2200577I 450 991045438200332120200520144314.00-429-18586-31-4398-6418-710.1201/9781439864180 (CKB)1000000000521948(SSID)ssj0000282461(PQKBManifestationID)11207515(PQKBTitleCode)TC0000282461(PQKBWorkID)10317198(PQKB)10886853(MiAaPQ)EBC3059500(Au-PeEL)EBL3059500(CaPaEBR)ebr10159706(OCoLC)922955594(EXLCZ)99100000000052194820180706d2003 uy 0engurcn|||||||||txtccrOn Quaternions and Octonions /John H. Conway, Derek A. SmithFirst edition.Boca Raton, FL :CRC Press,2003.xii, 159 p. illBibliographic Level Mode of Issuance: Monograph1-56881-134-9 Includes bibliographical references (p. 149-152) and index.chapter I I The Complex Numbers -- chapter II II The Quaternions -- chapter III III The Octonions."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."--Provided by publisher.QuaternionsCayley numbers (Algebra)Electronic books.Quaternions.Cayley numbers (Algebra)512/.5Conway John H.41656Smith Derek A.MiAaPQMiAaPQMiAaPQBOOK9910454382003321On Quaternions and Octonions1986760UNINA