Quaternions and Cayley Numbers
J. P. Ward
Reading Time
at 250 WPM4h 2m
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9
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242
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Quaternions and Cayley Numbers
by J. P. Ward
Published
1997
Publisher
Springer Netherlands
Pages
242
ISBN-13
9789401064347
ISBN-10
9401064342
Description
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.
Subjects
Heinemann Mathematics
Elements
Philosophiae naturalis principia mathematica
Tractatus logico-philosophicus
De la terre à la lune
Principles of Anatomy and Physiology
Frequently Asked Questions
How many pages are in Quaternions and Cayley Numbers?
This edition of Quaternions and Cayley Numbers has approximately 242 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Quaternions and Cayley Numbers?
For most readers, Quaternions and Cayley Numbers typically takes between 5h 3m and 3h 22m to complete. This is based on the book's length of approximately 60,500 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 4h 2m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 9 days • Estimated word count: 60,500 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Quaternions and Cayley Numbers?
The estimated word count for Quaternions and Cayley Numbers is approximately 60,500 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Quaternions and Cayley Numbers?
Quaternions and Cayley Numbers was written by J. P. Ward.
When was Quaternions and Cayley Numbers published?
The publication date for this specific edition is 1997. The original work may have been published on a different date.