This self-contained textbook is a casual introduction to optimization by means of using quite a few illustrations and purposes. The focus is on analytically fixing optimization issues with a finite variety of steady variables. In addition, the authors present introductions to classical and fashionable numerical strategies of optimization and to dynamic optimization.
The e book’s overarching level is that the majority issues could also be solved by the direct software of the theorems of Fermat, Lagrange, and Weierstrass. The authors present how the instinct for every of the theoretical outcomes will be supported by easy geometric figures. They embrace quite a few purposes by means of using different classical and sensible issues. Even specialists might discover a few of these purposes really stunning.
A fundamental mathematical data is enough to know the matters coated on this e book. More superior readers, even specialists, shall be stunned to see how all major outcomes will be grounded on the Fermat-Lagrange theorem. The e book can be utilized for programs on steady optimization, from introductory to superior, for any area for which optimization is related.
“The authors provide a very nice and interesting textbook on the theory and the application of mathematical optimization. . . . The book is written as well as for beginners and for experts. . . . Both types of readers can profit from the given shortcuts and royal roads which jump over some theoretical explanations and lead directly to the applications.”–Jörg Thierfelder, Zentralblatt MATH
From the Back Cover
“Well written and well organized. The book’s examples are highly varied, interesting and well thought out.”–Steinar Hauan, Carnegie Mellon University
“An extremely interesting introduction to the field of mathematical optimization. I know of no other book in the field that offers so many illustrations of the applicability of deep theoretical issues in optimization. It will command a broad audience, from beginners to experts.”–Kees Roos, Delft University of Technology