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Maxima And Minima With Applications: Practical Optimization And Duality
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This new work by Wilfred Kaplan, the distinguished author of influential mathematics and engineering texts, is destined to become a classic. Timely, concise, and contentdriven, it provides an intermediatelevel 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 indepth discussion of research topics involving the duality theorems of Fenchel and Rockafellar. Throughout the text, the subject of convexity is gradually developedfrom 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 algebraMaxima and Minima with Applications is an ideal text for upperundergraduate 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 cuttingedge topics in optimization and mathematical programming.
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