Maxima and Minima with Applications: Practical Optimization and DualityISBN: 978-0-471-25289-4
Hardcover
296 pages
November 1998
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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 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.
* 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.