Cover of Lectures On Convex Sets by Valeriu Soltan, ISBN 9789814656696
GEOMETRY (CONVEX AND DISCRETE GEOMETRY) AND TOPOLOGY

Lectures On Convex Sets

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Paperback · ISBN 9789814656696

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Key Specifications

ISBN 9789814656696
Publisher World Scientific
Language English
Page count 416

This book provides a systematic treatment of algebraic and topological properties of convex sets (possibly non-closed or unbounded) in the n-dimensional Euclidean space. Topics under consideration include general properties of convex sets and convex hulls, cones and conic hulls, polyhedral sets, the extreme structure, support and separation properties of convex sets. Lectures on Convex Sets is self-contained and unified in presentation. The book grew up out of various courses on geometry and convexity, taught by the author for more than a decade. It can be used as a textbook for graduate students and even ambitious undergraduates in mathematics, optimization, and operations research. It may also be viewed as a supplementary book for a course on convex geometry or convex analysis, or as a source for independent study of the subject, suitable for non-geometers.