On Quaternions and Octonions (Hardback)
  • On Quaternions and Octonions (Hardback)
zoom

On Quaternions and Octonions (Hardback)

(author), (author)
£105.00
Hardback 172 Pages
Published: 23/01/2003
  • In stock
  • Free UK delivery

Usually dispatched within 2-3 working days

  • This item has been added to your basket

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.

Publisher: Taylor & Francis Inc
ISBN: 9781568811345
Number of pages: 172
Weight: 460 g
Dimensions: 234 x 156 mm


MEDIA REVIEWS

"Conway and Smith’s book is a wonderful introduction to the normed division algebras … They develop these number systems from scratch, explore their connections to geometry, and even study number theory in quaternionic and octonionic versions of the integers. … a lucid and elegant introduction. … remarkably self-contained. It assumes no knowledge of number theory, string theory, Lie theory, or lower-case Gothic letters."—John C. Baez, Bulletin of the American Mathematical Society, January 2005"A resonant spike above background noise in one parameter as another parameter is varied is a frequent indicator…"—Geoffrey Dixon, Mathematical Intelligencer, May 2004"Those readers who are fascinated by the links between geometry and groups will find that this book gives them new insights."—Hugh Williams, The Mathematical Gazette, July 2004"This is a beautiful and fascinating book on the geometry and arithmetic of the quaternion algebra and the octonion algebra. … most intriguing to read: it is an excellent exposition of very attractive topics, and it contains several new and significant results."—Theo Grundhöfer, Mathematical Reviews, 2003

You may also be interested in...

Measurement
Added to basket
£20.95
Paperback
The Four Pillars of Geometry
Added to basket
Fractals: A Very Short Introduction
Added to basket
Euclid's Elements
Added to basket
£35.00
Hardback
Platonic and Archimedean Solids
Added to basket
Curvature in Mathematics and Physics
Added to basket
Geometry: Euclid and Beyond
Added to basket
Drawing Geometry
Added to basket
£12.99
Paperback
Fractal Geometry
Added to basket
Symmetry: A Very Short Introduction
Added to basket
Ruler and Compass
Added to basket
£5.99
Paperback
Euclid's Window
Added to basket
£10.99
Paperback
Taxicab Geometry
Added to basket
Elementary Geometry for College Students
Added to basket
Euclid's Elements
Added to basket
£25.00
Paperback

Please sign in to write a review

Your review has been submitted successfully.

env: aptum
branch: