Items related to On Quaternions and Octonions
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.
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About the Author
John H. Conway, Derek A. Smith
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On Quaternions and Octonions
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On Quaternions and Octonions
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A K Peters/CRC Press, 2003
ISBN 10: 1568811349
ISBN 13: 9781568811345
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On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry
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On Quaternions and Octonions
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On Quaternions and Octonions
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On Quaternions and Octonions
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A K Peters/CRC Press 2003-01-23, 2003
ISBN 10: 1568811349
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On Quaternions and Octonions : Their Geometry, Arithmetic, and Symmetry
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On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry
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On Quaternions and Octonions
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On Quaternions and Octonions : Their Geometry, Arithmetic, and Symmetry
Published by
A.K. Peters, Natick, Mass., 2003
ISBN 10: 1568811349
ISBN 13: 9781568811345
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Hardcover. Condition: Very Good. A very presentable copy with minimal wear. Only very slight wear to cover. Internally, clean and fresh, with unmarked and uncreased pages. Publisher's note: 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. Size: 23.4 x 15.6 x 1.5 cm. xii, 159 pp. Shipped Weight: Under 500 grams. Category: Mathematics; Algebra, Universal; Quaternions; Cayley numbers; Quaternions; Cayley numbers; ISBN: 1568811349. ISBN/EAN: 9781568811345. Add. Inventory No: 250322CT4812. Seller Inventory # 250322CT4812
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