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Quaternions and Cayley Numbers

Name: Quaternions and Cayley Numbers
Brand: Springer Netherlands
SKU: 01395367
Price: 20305 HUF
Availability: InStock
Author: J.P. Ward
ISBN: 9780792345138

Algebra and Applications

J.P. Ward

Language

English

Book Hardback

Libristo code: 01395367

Publishers Springer Netherlands, November 1996

This monograph is an accessible account of the normed algebras over the real field, particularly the... Full description

Libristo code: 01395367

136 b

20 305 Ft

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This monograph is an accessible account of the normed algebras over the real field, particularly the quaternions and the Cayley numbers. The application of quaternions to spherical geometry and to mechanics is considered and the relation between quaternions and rotations in 3- and 4-dimensional Euclidean space is fully developed. The algebra of complexified quaternions is described and applied to electromagnetism and to special relativity. By looking at a 3-dimensional complex space we explore the use of a quaternion formalism to the Lorentz transformation and we examine the classification of electromagnetic and Weyl tensors. In the final chapter, extensions of quaternion algebra to the alternative non-associative algebra of Cayley numbers are investigated. The standard Cayley number identities are derived and their use in the analysis of 7- and 8-dimensional rotations is studied. Appendices on Clifford algebras and on the use of dynamic computation in Cayley algebra are included. §Audience: This volume has been written at a level suitable for final year and postgraduate students.