Dennis Morris: The Little Book of Permutation Matrices

Description

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.