Maxima and Minima with Applications / Wiley-Interscience Series in Discrete Mathematics and Optimization Bd.1 (PDF)

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.