A K PETERS, Date: 2003. Hardcover. Good. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.Dust jacket quality is not guaranteed. 2003. A K PETERS ISBN 1568811349 9781568811345 [US]

Hardback. New. An investigation of the geometry of quaternion and octonion algebras, this text is intended for mathematicians who are interested in the symmetries of low-dimensional space. Topics covered include Moufang loops, integral octonions and the octonion projective plane. ISBN 1568811349 9781568811345 [GB]

ISBN10: 1568811349, ISBN13: 9781568811345, [publisher: Taylor & Francis Inc Jan 2003] Hardcover Neuware - 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.
[Einbeck, Germany] [Publication Year: 2003]
Show/Hide image

ISBN10: 1568811349, ISBN13: 9781568811345, [publisher: Taylor & Francis Inc Jan 2003] Hardcover Neuware - 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.
[Einbeck, Germany] [Publication Year: 2003]
Show/Hide image

A K Peters/CRC Press, Date: 2003-01-23. Hardcover. New. New. In shrink wrap. Looks like an interesting title! 2003. A K Peters/CRC Press ISBN 1568811349 9781568811345 [US]