An Introduction to Optimization

Front Cover

Edwin K. P. Chong and Stanislaw H. Żak

Wiley-Interscience Series in Discrete Mathematics and Optimization
John Wiley & Sons, Inc.
New York
Copyright © 1996
ISBN 0-471-08949-4, xiii+409 pp.

NOTICE: Please see the Second Edition.
From the back cover: Back Cover

An up-to-date, accessible introduction to an increasingly important field

This timely authoritative book fills a growing need for an introductory text to optimization methods and theory at the senior undergraduate and beginning graduate levels. With consistently accessible and elementary treatment of all topics, An Introduction to Optimization helps students build a solid working knowledge of the field, including unconstrained optimization, linear programming, and constrained optimization.

Supplemented with more than one hundred tables and illustrations, an extensive bibliography, and numerous worked-out examples to illustrate both theory and algorithms, this book provides:

This book helps students to prepare for the advanced topics and technological developments that lie ahead. It is also a useful book for researchers and professionals in mathematics, electrical engineering, economics, statistics, and business.


An up-to-date errata is available, in Postscript and PDF formats.

Brief Table of Contents

(A more detailed table of contents is available.)

Part I. Mathematical Review

1 Methods of Proof and Some Notation
2 Real Vector Spaces and Matrices
3 Transformations
4 Concepts from Geometry
5 Elements of Differential Calculus

Part II. Unconstrained Optimization

6 Basics of Unconstrained Optimization
7 One-Dimensional Search Methods
8 Gradient Methods
9 Newton's Method
10 Conjugate Direction Methods
11 Quasi-Newton Methods
12 Solving Ax=b
13 Unconstrained Optimization and Feedforward Neural Networks
14 Genetic Algorithms

Part III. Linear Programming

15 Introduction to Linear Programming
16 The Simplex Method
17 Duality
18 Non-Simplex Methods

Part IV. Nonlinear Constrained Optimization

19 Problems with Equality Constraints
20 Problems With Inequality Constraints
21 Convex Optimization Problems
22 Algorithms for Constrained Optimization

Ordering information

Wiley has information on how to order the book.

Instructors only: Copies of the solutions manuals are held in-house at Wiley's New York office. For a copy of the solutions manual, fax an official request letter on university letterhead to 201-748-6825, or contact Sari Friedman (

Professor Edwin Chong, Email

This document was last modified August 23, 2012.