An Introduction to Optimization, Third Edition

WileyInterscience Series in Discrete Mathematics and Optimization
John Wiley & Sons, Inc.
New York
Copyright © 2008
ISBN 0471758000, xvi+584 pp.
From the back cover:
Explore the latest applications of optimization theory and
methods
Optimization is central to any problem involving decision making,
whether in engineering, mathematics, statistics, economics,
research, or computer science. Now, more than ever, it is
increasingly vital to have a firm grasp of the topic due to the
rapid progress in computer technology, including the development and
availability of userfriendly software, highspeed and parallel
processors, and networks. Fully updated to reflect modern
developments in the field, An Introduction to Optimization, Third
Edition fills the need for an accessible, yet rigorous, introduction
to optimization theory and methods.
The book begins with a review of basic definitions and notation and
also provides the related fundamental background of linear algebra,
geometry, and calculus. With this foundation, the authors begin to
explore the essential topics of unconstrained optimization
problems, linear programming problems, and nonlinear constrained
optimization. An optimization perspective on global search methods
is featured and includes discussions on genetic algorithms,
particle swarm optimization, and the simulated annealing algorithm.
In addition, the book includes an elementary
introduction to artificial neural networks,
convex optimization, and multiobjective optimization,
all of which are of tremendous interest to students, researchers,
and practitioners.
Additional features of the Third Edition include:
 New discussions of semidefinite programming and Lagrangian
algorithms
 A new chapter on global search methods
 A new chapter on multiobjective optimization
 New and modified examples and exercises in each chapter as well as
an updated bibliography containing new references
 An updated Instructor's Manual with fully workedout solutions to
the exercises
Numerous diagrams and figures found throughout the text complement
the written presentation of key concepts, and each chapter is
followed by MATLABŪ exercises and drill problems that reinforce the
discussed theory and algorithms. With innovative coverage and a
straightforward approach, An Introduction to Optimization, Third
Edition is an excellent book for courses in optimization theory and
methods at the upperundergraduate and graduate level. It also
serves as a useful, selfcontained reference for researchers and
professionals in a wide array of fields.
Errata
An uptodate errata is available, in
Postscript and
PDF formats.
Brief Table of Contents
(A more detailed table of contents is available.)
 Preface
Part I. Mathematical Review
 1 Methods of Proof and Some Notation
 2 Vector Spaces and Matrices
 3 Transformations
 4 Concepts from Geometry
 5 Elements of Calculus
Part II. Unconstrained Optimization
 6 Basics of SetConstrained and Unconstrained Optimization
 7 OneDimensional Search Methods
 8 Gradient Methods
 9 Newton's Method
 10 Conjugate Direction Methods
 11 QuasiNewton Methods
 12 Solving Linear Equations
 13 Unconstrained Optimization and Neural Networks
 14 Global Search Algorithms
Part III. Linear Programming
 15 Introduction to Linear Programming
 16 Simplex Method
 17 Duality
 18 Nonsimplex 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
 23 Multiobjective Optimization
 References
 Index
Ordering information
Wiley has
information on how to order the book.
Instructors only:
Copies of the solutions manuals are held inhouse at
Wiley's New York office.
For a copy of the solutions manual, fax an official request letter on
university letterhead to 2017486825, or contact
Kathleen Pagliaro (kpagliaro@wiley.com)
Website for courses:
View
this
page in Romanian courtesy of azoft
View
this page in Polish.
Professor Edwin Chong,
This document was last modified
September 09, 2020.