Maxima and Minima with Applications: Practical Optimization and Duality / Edition 1

Maxima and Minima with Applications: Practical Optimization and Duality / Edition 1

by Wilfred Kaplan, Kaplan
     
 

ISBN-10: 0471252891

ISBN-13: 9780471252894

Pub. Date: 11/06/1998

Publisher: Wiley

This new work by Wilfred Kaplan, the distinguished author of influential mathematics and engineering texts, is destined to become a classic. Timely, concise, and content-driven, it provides an intermediate-level treatment of maxima, minima, and optimization. Assuming only a background in calculus and some linear algebra, Professor Kaplan presents topics in order of

Overview

This new work by Wilfred Kaplan, the distinguished author of influential mathematics and engineering texts, is destined to become a classic. Timely, concise, and content-driven, it provides an intermediate-level treatment of maxima, minima, and optimization. Assuming only a background in calculus and some linear algebra, Professor Kaplan presents topics in order of difficulty. In four short chapters, he describes basic concepts and geometric aspects of maxima and minima, progresses to problems with side conditions, introduces optimization and programming, and concludes with an in-depth discussion of research topics involving the duality theorems of Fenchel and Rockafellar. Throughout the text, the subject of convexity is gradually developed-from its theoretical underpinnings to problems, and finally, to its role in applications. Other features include:

• A strong emphasis on practical applications of maxima and minima

• An impressive array of supporting topics such as numerical analysis

• An ample number of examples and problems

• More than 60 illustrations highlighting the text

• Algorithms to reinforce concepts

• An appendix reviewing the prerequisite linear algebra

Maxima and Minima with Applications is an ideal text for upper-undergraduate and graduate students taking courses in operations research, management, general engineering, and applied mathematics. It can also be used to supplement courses on linear and nonlinear optimization. This volume's broad scope makes it an excellent reference for professionals wishing to learn more about cutting-edge topics in optimization and mathematical programming.

Product Details

ISBN-13:
9780471252894
Publisher:
Wiley
Publication date:
11/06/1998
Series:
Wiley Series in Discrete Mathematics and Optimization Series, #51
Edition description:
New Edition
Pages:
296
Product dimensions:
6.50(w) x 9.41(h) x 1.00(d)

Table of Contents

Maxima and Minima in Analytic Geometry.

Side Conditions.

Optimization.

Fenchel-Rockafellar Duality Theory.

Appendix.

Answers to Selected Problems.

Index.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >