This book has become the standard for a complete, state-of-the-art
description of the methods for unconstrained optimization and
systems of nonlinear equations. Originally published in 1983, it
provides information needed to understand both the theory and the
practice of these methods and provides pseudocode for the problems.
The algorithms covered are all based on Newton's method or
"quasi-Newton" methods, and the heart of the book is the material
on computational methods for multidimensional unconstrained
optimization and nonlinear equation problems. The republication of
this book by SIAM is driven by a continuing demand for specific and
sound advice on how to solve real problems. The level of
presentation is consistent throughout, with a good mix of examples
and theory, making it a valuable text at both the graduate and
undergraduate level. It has been praised as excellent for courses
with approximately the same name as the book title and would also
be useful as a supplemental text for a nonlinear programming or a
numerical analysis course. Many exercises are provided to
illustrate and develop the ideas in the text. A large appendix
provides a mechanism for class projects and a reference for readers
who want the details of the algorithms. Practitioners may use this
book for self-study and reference. For complete understanding,
readers should have a background in calculus and linear algebra.
The book does contain background material in multivariable calculus
and numerical linear algebra.
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