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This book is about quaternions. The quaternions are derived from finite group theory. Non-commutative differentiation is included, as is non-commutative rotation. Quaternion trigonometry is included. Double cover rotation is included. The spinors of quant
This book is a rewrite of Lie groups and Lie algebras. The rewrite very much simplifies the standard presentations. The rewrite is done by approaching this area of physics and maths from the intuitively easy side of Lie groups first and Lie algebras secon
This book is unique in that it presents finite group theory through permutation matrices. Such a presentation leads to a much less cluttered and clearer presentation than is to be found in other books on group theory. The book is suitable for readers with
This book is about the higher dimensional complex numbers. Although it was not known when the first edition was printed, the higher dimensional complex numbers are spinor spaces and the classical spaces, including our 4-dimensional space-time, arise from
This book presents the modern quantum field theory view of the electron. This view is very different from the outdated classical view that is most often taught in schools and colleges. We cannot present the QFT view of the electron without also presenting