This book gives an excellent survey of recent work on classical groups,
simplifying and unifying the results of many authors. No attempt is made
to cover all of the voluminous literature on classical groups; the
author deals with only that portion of the subject which can be handled
by the methods of linear algebra. By thus restricting his scope, he is
able to include proofs of most of the results described, thereby making
the book more self-contained than most Ergebnisse tracts.
In the reviewer's opinion, this is an important and well-written book
which should help to stimulate research on the classical groups. The
book not only gives a thorough exposition of the present state of the
subject, but is also an excellent introduction to the modern techniques
basic to further work in this field.