The Octonions by John Carlos Baez
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About this book :-
This text offers a deep and accessible overview of the octonions, the most exotic and least familiar of the normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics.
Octonions are a kind of number. They're part of a short list of number systems where you can divide and where multiplication behaves nicely with size. There are only four such systems:
1. Real numbers (like 1, 2.5, -3, etc.)
2. Complex numbers (like 3 + 2i)
3. Quaternions (used in 3D rotations, discovered by Hamilton)
4. Octonions (more mysterious and harder to understand)
The text describe them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups. It also touch upon their applications in quantum logic, special relativity and super symmetry. The text is s suitable for both mathematicians and physicists, as well as advanced students interested in abstract algebra, geometry, and theoretical physics.
Book Detail :-
This book has following details information.
Title:
The Octonions by John Carlos Baez by NA
Publisher:
John Baez
Series:
eBooksDirectory
Year:
2001
Pages:
56
Type:
PDF
Language:
English
ISBN-10 #:
ISBN-13 #:
Country:
Pakistan
License:
N\A
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Introduction
2. Constructing the Octonions
3. Octonionic Projective Geometry
4. Exceptional Lie Algebras
5. Conclusions
6. Bibliography
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