000 01305nam a22001817a 4500
008 160821b xxu||||| |||| 00| 0 eng d
020 _a9789814656696
082 _a516.08
_bSol
100 _aSoltan, Valeriu
245 _aLectures on Convex Sets
260 _aNew Jersey
_bWorld Scientific
_c2015
300 _ax; 405p.
_c9x6
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.
546 _aENG
650 _aConvex sets
650 _aConvex geometry
942 _cBK
999 _c84896
_d84896