Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics (Mathematics and Its Applications (Kluwer ))

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Summary: Mathematics behind physics
Review: This is an excellent book for those who want to study Hamilton's quaternions, and other algebraic structures, used in modern physics. Dixon believes that octonions and triality of Spin(8) are essential in understanding particle physics. This clear exposition contains many ideas which have gone unnoticed from other researchers. The book is a treasure trove for mathematical physicists. The author also compares the Cayley algebra of octonions to other algebraic systems used in physics: matrices and Clifford algebras, in particular the Dirac algebra.