This is a concise, insightful introduction to the field of
numerical linear algebra. The clarity and eloquence of the
presentation make it popular with teachers and students alike. The
text aims to expand the reader's view of the field and to present
standard material in a novel way. All of the most important topics
in the field are covered with a fresh perspective, including
iterative methods for systems of equations and eigenvalue problems
and the underlying principles of conditioning and stability.
Presentation is in the form of 40 lectures, which each focus on one
or two central ideas. The unity between topics is emphasized
throughout, with no risk of getting lost in details and
technicalities. The book breaks with tradition by beginning with
the QR factorization - an important and fresh idea for students,
and the thread that connects most of the algorithms of numerical
linear algebra.
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