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Mathematics of Optimization: Smooth and Nonsmooth Case (Hardcover, New)
Loot Price: R4,892
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Mathematics of Optimization: Smooth and Nonsmooth Case (Hardcover, New)
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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.
- Self-contained
- Clear style and results are either proved or stated precisely
with adequate references
- The authors have several years experience in this field
- Several subjects (some of them non usual in books of this kind)
in one single book, including nonsmooth optimization and vector
optimization problems
- Useful long references list at the end of each chapter
General
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