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Old 10-23-2009, 06:22 PM
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Default On Quaternions and Octonions



Derek Smith, John Horton Conway, "On Quaternions and Octonions"
AK Peters | 2003 | ISBN: 1568811349 | 181 pages | Djvu | 1,3 MB

An investigation of the geometry of quaternion and octonion algebras, this book is intended for mathematicians, physicists, and crystallographers at any level--from undergraduate to professional--who are interested in the symmetries of low-dimensional space.

The book can also be used as a text for graduate courses in many mathematical fields, including geometry, group theory, algebra, and number theory.

A Selection of Topics Covered:
The geometry of complex numbers
Quaternions and 3-dimensional groups
Quaternions and 4-dimensional groups
The Hurwitz integral quaternions
Moufang loops
Octonions and 8-dimensional geometry
Integral octonions
The octonion projective plane


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