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cover of the book On quaternions and octonions: their geometry, arithmetic and symmetry

Ebook: On quaternions and octonions: their geometry, arithmetic and symmetry

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26.01.2024
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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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