This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular.  Again a connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve the problem.  As in the earlier editions, the material in this fourth edition is organized into three separate parts.  Part I is a self-contained introduction to linear programming covering numerical algorithms and many of its important special applications.  Part II, which is independent of Part I, covers the theory of unconstrained optimization, including both derivations of the appropriate optimality conditions and an introduction to basic algorithms.  Part III extends the concepts developed in the second part to constrained optimization problems.  It is possible to go directly into Parts II and III omitting Part I, and, in fact, the book has been used in this way in many universities.