LEADER 02654oam 2200577I 450 001 9910454382003321 005 20200520144314.0 010 $a0-429-18586-3 010 $a1-4398-6418-7 024 7 $a10.1201/9781439864180 035 $a(CKB)1000000000521948 035 $a(SSID)ssj0000282461 035 $a(PQKBManifestationID)11207515 035 $a(PQKBTitleCode)TC0000282461 035 $a(PQKBWorkID)10317198 035 $a(PQKB)10886853 035 $a(MiAaPQ)EBC3059500 035 $a(Au-PeEL)EBL3059500 035 $a(CaPaEBR)ebr10159706 035 $a(OCoLC)922955594 035 $a(EXLCZ)991000000000521948 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) 608 $aElectronic books. 615 0$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 $a9910454382003321 996 $aOn Quaternions and Octonions$91986760 997 $aUNINA LEADER 01502nam 2200373Ia 450 001 996389459903316 005 20210104171902.0 035 $a(CKB)4940000000097286 035 $a(EEBO)2264214031 035 $a(OCoLC)ocn907645505e 035 $a(OCoLC)907645505 035 $a(EXLCZ)994940000000097286 100 $a20150420d1691 uy 0 101 0 $aeng 135 $aurbn||||a|bb| 200 00$aBy Lieutenant General Ginkell, Commander in Chief of Their Majesties Forces$b[electronic resource] $eto all officers civil and military, and all other Their Majesties subjects, greeting : vvhereas I have taken into their Majesties protection 210 $a[Dublin? $cs.n.$d1691] 215 $a1 sheet ([2] p.) 300 $aA form. 300 $aCaption title. 300 $aPlace and date of publication suggested by ESTC. 300 $aDated at end: Given at the camp at [Athlone] this [7th] day of [July] 1691. 300 $aReproduction of original in: National Library Of Ireland. 330 $aeebo-0095 607 $aIreland$xHistory$yWar of 1689-1691$vEarly works to 1800 607 $aAthlone (Ireland)$xHistory$vEarly works to 1800 608 $aBroadsides$zIreland$zDublin$y17th century.$2rbgenr 701 $aReede-Ginckel$b Godard$cBaron van,$f1644-1703.$01004254 801 0$bUMI 801 1$bUMI 906 $aBOOK 912 $a996389459903316 996 $aBy Lieutenant General Ginkell, Commander in Chief of Their Majesties Forces$92404295 997 $aUNISA