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On Quaternions and Octonions (UK)

by On Quaternions and Octonions (UK)

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Description

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.

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Product Details

  • A K Peters/CRC Press Brand
  • Jan 23, 2003 Pub Date:
  • 1568811349 ISBN-10:
  • 9781568811345 ISBN-13:
  • English Language
  • 9.21 in * 0.44 in * 6.14 in Dimensions:
  • 1 lb Weight: