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Cones and Duality (Hardcover, illustrated Edition)
Loot Price: R2,530
Discovery Miles 25 300
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Cones and Duality (Hardcover, illustrated Edition)
Series: Graduate Studies in Mathematics
Expected to ship within 12 - 17 working days
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Ordered vector spaces and cones made their debut in mathematics at
the beginning of the twentieth century. They were developed in
parallel (but from a different perspective) with functional
analysis and operator theory. Before the 1950s, ordered vector
spaces appeared in the literature in a fragmented way. Their
systematic study began around the world after 1950 mainly through
the efforts of the Russian, Japanese, German, and Dutch schools.
Since cones are being employed to solve optimization problems, the
theory of ordered vector spaces is an indispensable tool for
solving a variety of applied problems appearing in several diverse
areas, such as engineering, econometrics, and the social sciences.
For this reason this theory plays a prominent role not only in
functional analysis but also in a wide range of applications. This
is a book about a modern perspective on cones and ordered vector
spaces. It includes material that has not been presented earlier in
a monograph or a textbook. With many exercises of varying degrees
of difficulty, the book is suitable for graduate courses. Most of
the new topics currently discussed in the book have their origins
in problems from economics and finance. Therefore, the book will be
valuable to any researcher and graduate student who works in
mathematics, engineering, economics, finance, and any other field
that uses optimization techniques.
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