The Geometry of the Octonions - Paperback
The Geometry of the Octonions - Paperback
About this item
by Dray Tevian (Author)
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. In fact, all (continuous) 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.
Curated additions for your library
Summer Math Pre Algebra Workbook Grade 5-6 Bridge Building Activities: 5th to 6th Grade Summer Pre Algebra Essential Skills Practice Worksheets - Paperback
Kumon Are You Ready for High School Math?: Review and Master Key Concepts from Middle School Algebra, Geometry, Probability and Statistics-Grades 7 & - Paperback
Summer Math Pre Algebra Workbook Grade 6-8 Bridge Building Activities: 6th to 8th Grade Summer Pre Algebra Essential Skills Practice Worksheets - Paperback
Summer Math Pre Algebra Workbook Grade 4-6 Bridge Building Activities: 4th to 6th Grade Summer Pre Algebra Essential Skills Practice Worksheets - Paperback
