On Quaternions and Octonions

AvDerek A. Smith,John H. Conway

E-bok

PDF, Engelska, 2003

989 kr

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E-bok

989 kr

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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 f