Page 8 - Advanced Linear Algebra

Preface to the Second Edition

Let me begin by thanking the readers of the first edition for their many helpful
comments and suggestions. The second edition represents a major change from
the first edition. Indeed, one might say that it is a totally new book, with the
exception of the general range of topics covered.

The text has been completely rewritten. I hope that an additional 12 years and
roughly 20 books worth of experience has enabled me to improve the quality of
my exposition. Also, the exercise sets have been completely rewritten.

The second edition contains two new chapters: a chapter on convexity,
(
separation and positive solutions to linear systems Chapter 15) and a chapter on
(
the QR decomposition, singular values and pseudoinverses Chapter 17). The
treatments of tensor products and the umbral calculus have been greatly
(
expanded and I have included discussions of determinants in the chapter on
tensor products), the complexification of a real vector space, Schur's theorem
and Geršgorin disks.
Steven Roman Irvine, California February 2005