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.
General
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