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020 _a9789814656696
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 0 0 _a514.17
_bSOL-L
100 1 _aSoltan, Valeriu
245 1 0 _aLectures on convex sets
260 _aNew Jersey :
_bWorld Scientific Publishing,
_c2015.
300 _ax, 405 pages ;
_c24 cm
504 _aIncludes bibliographical references and index.
520 _aThis 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.
650 0 _aConvex sets.
650 0 _aConvex geometry.
856 _3Table of content
_uhttps://www.worldscientific.com/doi/reader/10.1142/9789814656702_fmatter
856 _3Reviews
_uhttps://www.goodreads.com/book/show/31420481-lectures-on-convex-sets?ref=nav_sb_ss_1_13#CommunityReviews
942 _2udc
_cBK
999 _c35604
_d35604