£63.00

World Scientific Publishing Company The Geometry Of The Octonions

Name: The Geometry Of The Octonions
Brand: World Scientific Publishing Company
Price: 63.0 GBP
Availability: InStock

Algebra

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Description

This is an attractive book, with many thought provoking and novel ideas. It is also very well presented with good quality paper and typography, which make it very pleasant to handle. - David B Fairlie, Emeritus Professor Anybody interested in the topics covered here should find this book to be a valuable reference. - Mathematical Association of America ... this is a really interesting book. It has encouraged me to further explore this fascinating topic. - London Mathematical Society Newsletter There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions, and in fact, all symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on their geometric structure. Elementary applications covered include the rotation groups and their spacetime generalization, the Lorentz group, as well as the eigenvalue problem for Hermitian matrices. In addition, more sophisticated applications include the exceptional Lie groups, octonionic projective spaces, and applications to particle physics including the remarkable fact that classical supersymmetry only exists in particular spacetime dimensions.

Product Specifications

Brand: World Scientific Publishing Company
Format: hardcover
ASIN: 9814401811
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 10 June 2015
Listed Since: 20 April 2012

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World Scientific Publishing Company The Geometry Of The Octonions

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