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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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