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On Quaternions and Octonions
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On Quaternions and Octonions Hardcover - 2003

by John H. Conway; Derek A. Smith


From the publisher

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. Topics covered include the geometry of complex numbers, quaternions and 3-dimensional groups, quaternions and 4-dimensional groups, Hurwitz integral quaternions, composition algebras, Moufang loops, octonions and 8-dimensional geometry, integral octonions, and the octonion projective plane.

First line

We suppose you understand the real numbers!

Details

  • Title On Quaternions and Octonions
  • Author John H. Conway; Derek A. Smith
  • Binding Hardcover
  • Edition First printing
  • Pages 172
  • Volumes 1
  • Language ENG
  • Publisher A K PETERS, Natick
  • Date 2003-01-23
  • Features Bibliography, Maps
  • ISBN 9781568811345 / 1568811349
  • Weight 0.8 lbs (0.36 kg)
  • Dimensions 9.3 x 6.2 x 0.58 in (23.62 x 15.75 x 1.47 cm)
  • Library of Congress Catalog Number 2002035555
  • Dewey Decimal Code 512.5
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On Quaternions and Octonions
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On Quaternions and Octonions

by Conway, John H.; Smith, Derek A.

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On Quaternions and Octonions

On Quaternions and Octonions

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On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry
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On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry

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On Quaternions and Octonions

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Hardback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; An investigation of the geometry of quaternion and octonion algebras, this text is intended for mathematicians who are interested in the symmetries of low-dimensional space. Topics covered include Moufang loops, integral octonions and t
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On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry
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On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry

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On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry
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On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry

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On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry
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On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry

by Conway , John H. (Author)/ Smith , Derek A. (Author)

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On Quaternions and Octonions
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On Quaternions and Octonions

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On Quaternions and Octonions
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On Quaternions and Octonions

by John Horton Conway; Derek Smith

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ISBN 10 / ISBN 13
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