An Introduction to Optimization, Fourth Edition

WileyInterscience Series in Discrete Mathematics and Optimization
John Wiley & Sons, Inc.
New York
Copyright © 2013
ISBN: 9781118279014
640 pages
From the back cover:
Praise for the Third Edition
"... guides and leads the reader through the learning path ...
examples are stated very clearly and the results are presented with
attention to detail."
MAA Reviews
Fully updated to reflect new developments in the field, the Fourth
Edition of Introduction to Optimization fills the need for
accessible treatment on optimization theory and methods with an
emphasis on engineering design. Basic definitions and notations are
provided in addition to the related fundamental background for
linear algebra, geometry, and calculus.
This new edition explores the essential topics of unconstrained
optimization problems, linear programming problems, and nonlinear
constrained optimization. The authors also present an optimization
perspective on global search methods and include discussions on
genetic algorithms, particle swarm optimization, and the simulated
annealing algorithm.
Featuring an elementary introduction to artificial neural networks,
convex optimization, and multiobjective optimization, the Fourth
Edition also offers:
 A new chapter on integer programming
 Expanded coverage of onedimensional methods
 Updated and expanded sections on linear matrix inequalities
 Numerous new exercises at the end of each chapter
 MATLABŪ exercises and drill problems to reinforce the discussed and algorithms
 Numerous diagrams and figures that complement the written of key concepts
 MATLABŪ Mfiles for implementation of the discussed theory and
algorithms (available via the book's website)
Introduction to Optimization, Fourth Edition is an ideal textbook
for courses on optimization theory and methods. In addition, the
book is also a useful reference for professionals in mathematics,
operations research, electrical engineering, economics, statistics,
and business.
Errata
An uptodate errata is available.
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
 19 Integer Linear Programming
Part IV. Nonlinear Constrained Optimization
 20 Problems with Equality Constraints
 21 Problems With Inequality Constraints
 22 Convex Optimization Problems
 23 Algorithms for Constrained Optimization
 24 Multiobjective Optimization
 References
 Index
Ordering information
Wiley has
information on how to order the book.
Instructors only: The Instructor's Solutions Manual is available
to Instructors who adopt the book. Please visit the Book Companion
Site for the book and register to receive access to the Solutions:
http://bcs.wiley.com/hebcs/Books?action=resource&bcsId=9040&itemId=1118279018&resourceId=35886
Website for courses:
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This document was last modified
March 28, 2023.