Lectures on convex sets /

"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 set...

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Bibliographic Details
Main Authors: Soltan, V. P. (Valerii Petrovich) (Author)
Corporate Authors: World Scientific (Firm)
Published: World Scientific,
Publisher Address: Singapore :
Publication Dates: [2015]
Literature type: eBook
Language: English
Subjects:
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/9508#t=toc
Summary: "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."--
Item Description: Title from PDF title page (viewed March 17, 2015).
Carrier Form: 1 online resource (x, 401 pages) : illustrations
Bibliography: Includes bibliographical references (pages 387-397) and indexes.
ISBN: 9789814656702
9814656704
Index Number: QA640
CLC: O186.5