Introduction to numerical linear algebra and optimisation /

Ciarlet provides a very thorough introduction to the common numerical methods used in linear algebra and optimization theory. The text is well written; key words, phrases, and ideas are identified with italics. Keying the ideas being employed is of particular importance, as one can easily become lost in the midst of computation. There is a list of symbols with definitions provided for convenience. Several challenging exercises are included in each section; some involve computation, but most are theoretic in nature and complement the material in the text nicely for those with a good background in linear algebra and differential calculus in Banach or Hilbert spaces. The book is quite suitable for graduate students and advanced undergraduates. -J. R. Burke, Gonzaga University