Books

Linear Algebra

Mark Meckes and I have written an introductory text book on linear algebra, published by Cambridge University Press. The book is intended to serve as a text for a sophomore or junior level mathematically rigorous course suitable for majors in mathematics, physics, and engineering. You can read all the promotional stuff (including some rather nice reviews by some awesome people) at Cambridge's website for the book.

Preface

Table of Contents

The Random Matrix Theory of the Classical Compact Groups

This book gives an overview of classical results and recent progress in the study of random matrices from the classical compact groups. I could tell you about what's in it, but the good people at Cambridge University Press have allowed me to post it here in its entirety (for the record: copyright by CUP, 2019). What's below is my final draft, pre-copy-editing, which means that there are a couple minor spacing issues and there are a bunch of instances of the word "which" which they changed to "that" in the published version. (The page numbering is also different: the published version has the text starting on pg. 1, and in this version it starts on pg. 11.) Here is Cambridge's page about the book.

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