Ebook: On quaternions and octonions: their geometry, arithmetic and symmetry
Author: John Horton Conway Derek Smith
- Genre: Mathematics // Geometry and Topology
- Year: 2003
- Publisher: A K Peters/CRC Press
- Edition: 1st
- Language: English
- djvu
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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