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100   $a20180706d2003      uy             0
101 0 $aeng
135   $aurcn|||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aOn Quaternions and Octonions /$fJohn H. Conway, Derek A. Smith
205   $aFirst edition.
210  1$aBoca Raton, FL :$cCRC Press,$d2003.
215   $axii, 159 p. $cill
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a1-56881-134-9 
320   $aIncludes bibliographical references (p. 149-152) and index.
327   $achapter I I The Complex Numbers -- chapter II II The Quaternions -- chapter III III The Octonions.
330 2 $a"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.
606   $aQuaternions
606   $aCayley numbers (Algebra)
615  0$aQuaternions.
615  0$aCayley numbers (Algebra)
676   $a512/.5
700   $aConway$b John H.$041656
702   $aSmith$b Derek A.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910782044803321
996   $aOn Quaternions and Octonions$93802381
997   $aUNINA