An Introduction to Optimization

Wiley Series in Discrete Mathematics and Optimization

Book 72
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Praise from the Second Edition

"...an excellent introduction to optimization theory..." (Journal of Mathematical Psychology, 2002)

"A textbook for a one-semester course on optimization theory and methods at the senior undergraduate or beginning graduate level." (SciTech Book News, Vol. 26, No. 2, June 2002)

Explore the latest applications of optimization theory and methods

Optimization is central to any problem involving decision making in many disciplines, such as engineering, mathematics, statistics, economics, and 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 user-friendly software, high-speed 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 notations and also provides the related fundamental background of linear algebra, geometry, and calculus. With this foundation, the authors 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 multi-objective 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 multipleobjective 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 worked-out 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 MATLAB 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 upper-undergraduate and graduate levels. It also serves as a useful, self-contained reference for researchers and professionals in a wide array of fields.

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About the author

Edwin K.P. Chong, PHD, is Professor of Electrical and Computer Engineering and Professor of Mathematics at Colorado State University. He currently serves as Editor of Computer Networks and the Journal of Control Science and Engineering. Dr. Chong was the recipient of the 1998 ASEE Frederick Emmons Terman Award.

Stanislaw H.Zak, PHD, is Professor of Electrical and Computer Engineering at Purdue University. He is the former associate editor of Dynamics and Control and the IEEE Transactions on Neural Networks, and his research interests include control, optimization, nonlinear systems, neural networks, and fuzzy logic control.

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Additional Information

Publisher
John Wiley & Sons
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Published on
Sep 23, 2011
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Pages
608
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ISBN
9781118211601
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Language
English
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Genres
Mathematics / Discrete Mathematics
Mathematics / General
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Content Protection
This content is DRM protected.
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Available on Android devices
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Book 2
Book 76
Praise for the Third Edition ". . . guides and leads the reader through the learning path . . . [e]xamples 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 of 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 multi-objective optimization, the Fourth Edition also offers: 
A new chapter on integer programming   Expanded coverage of one-dimensional methods   Updated and expanded sections on linear matrix inequalities   Numerous new exercises at the end of each chapter   MATLAB exercises and drill problems to reinforce the discussed theory and algorithms   Numerous diagrams and figures that complement the written presentation of key concepts   MATLAB M-files 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 a useful reference for professionals in mathematics, operations research, electrical engineering, economics, statistics, and business.
Edwin K. P. Chong
A modern, up-to-date introduction to optimization theory and methods
This authoritative book serves as an introductory text to optimization at the senior undergraduate and beginning graduate levels. With consistently accessible and elementary treatment of all topics, An Introduction to Optimization, Second Edition 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 examples to illustrate both theory and algorithms, this book also provides:
* A review of the required mathematical background material
* A mathematical discussion at a level accessible to MBA and business students
* A treatment of both linear and nonlinear programming
* An introduction to recent developments, including neural networks, genetic algorithms, and interior-point methods
* A chapter on the use of descent algorithms for the training of feedforward neural networks
* Exercise problems after every chapter, many new to this edition
* MATLAB(r) exercises and examples
* Accompanying Instructor's Solutions Manual available on request
An Introduction to Optimization, Second Edition helps students 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 Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.
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