By
Giorgio Giorgi, University of Pavia, Pavia, Italy.
A. Guerraggio, Insubria University of varese, varese, Italy.
J. Thierfelder, Technical University of Ilmenau, Ilmenau, Germany
Description
The book is intended for people (graduates, researchers, but also undergraduates with a good mathematical background) involved in the
study of (static) optimization problems (in finite-dimensional spaces). It contains a lot of material, from basic tools of convex analysis
to optimality conditions for smooth optimization problems, for non smooth optimization problems and for vector optimization problems.
The development of the subjects are self-contained and the bibliographical references are usually treated in different books (only
a few books on optimization theory deal also with vector problems), so the book can be a starting point for further readings in a more
specialized literature.
Assuming only a good (even if not advanced) knowledge of mathematical analysis and linear algebra, this book
presents various aspects of the mathematical theory in optimization problems. The treatment is performed in finite-dimensional spaces
and with no regard to algorithmic questions. After two chapters concerning, respectively, introductory subjects and basic tools and
concepts of convex analysis, the book treats extensively mathematical programming problems in the smmoth case, in the nonsmooth case
and finally vector optimization problems.
Audience:
Postgraduate, researchers, university professors, graduates and engineers.
