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OverviewThis 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. Full Product DetailsAuthor: Valeriu Soltan (George Mason Univ, Usa)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Dimensions: Width: 15.30cm , Height: 2.00cm , Length: 23.20cm Weight: 0.753kg ISBN: 9789814656689ISBN 10: 9814656682 Pages: 416 Publication Date: 29 April 2015 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsThe Affine Structure of the Euclidean Space; Convex Sets; Convex Hulls; Convex Cones and Conic Hulls; Recession and Normal Directions; Support and Separation Properties; Extreme Structure of Convex Sets; Exposed Structure of Convex Sets; Polyhedra;ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |