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Theory of Duality in Mathematical Programming (Hardcover, 1989 ed.)
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Theory of Duality in Mathematical Programming (Hardcover, 1989 ed.)
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Courses on mathematical programming are now part of standard
teaching programs of universities and institutes. The aim of this
book is to introduce students of mathematics, economics, technology
and other related subjects to the qualitative theory of
mathematical programming in paired vector spaces. Prerequisite for
the study of this book is only a basic knowledge of analysis, of
elements of functional analysis and linear algebra. The application
of elementary ideas of functional analysis is convenient for a more
rigorous construction of proofs and for some generalizations of the
finite dimensional theory on infinite dimensional Banach-spaces. An
important feature of this book is the use of a principle of duality
to formulate the theoretical basis of many different concrete
programming problems. The main idea of the book is to present
relations of duality and to construct a general theoretical basis
for different special programming problems.
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