Lectures on Convex Sets

The exposition is self-contained, detailed and provides multiple cross-references, that makes the book accessible to a large audience An essential part of the text is adapted from various research articles, never presented before in a textbook format The book has a multidisciplinary nature: it can be useful to specialists in geometry, convex analysis, operations research, and optimization The new edition contains new chapters and additional exercises with respective solutions Despite the presence of a large number of monographs on convex sets, there are quite a few textbooks on this topic. This book is to the level of graduate study, with higher degree of complexity and essentially more research-related results and references--