The Little Book of Permutation Matrices by Dennis Morris
This book is about permutation matrices. It is the only book currently available on this subject. Permutation matrices are very simple things. A bright 10-year old could understand most of this book. None-the-less, permutation matrices are utterly central to mathematics and theoretical physics. Permutation matrices underpin finite group theory, abstract algebra and modern particle physics. In this book, we get a very simple, almost childlike, introduction to permutation matrices. The reader is introduced to finite group theory in the most simple way possible. The book concludes with a simple and brief introduction to abstract algebra and modern gauge theory. Utterly simple and yet utterly profound, this book is a must read for all mathematicians and physicists.
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