Lectures On Convex Sets (Second Edition)

by Valeriu Soltan

Overview

The book provides a self-contained and systematic treatment of algebraic and topological properties of convex sets in the n-dimensional Euclidean space. It benefits advanced undergraduate and graduate students with various majors in mathematics, optimization, and operations research. It may be adapted as a primary book or an additional text for any course in convex geometry or convex analysis, aimed at non-geometers. It can be a source for independent study and a reference book for researchers in academia.The second edition essentially extends and revises the original book. Every chapter is rewritten, with many new theorems, examples, problems, and bibliographical references included. It contains three new chapters and 100 additional problems with solutions.

Product Details

ISBN-13:	9789811203510
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	01/22/2020
Pages:	612
Product dimensions:	6.00(w) x 9.00(h) x 1.24(d)

Table of Contents

The Affine Structure of the Euclidean Space; Convex Sets; Convex Hulls; Convex Cones and Conic Hulls; Recession Directions; Closedness Conditions; Cone Polarity and Normal Directions; Bounds and Supports; Separation Properties; Extreme Structure of Convex Sets; Exposed Structure of Convex Sets; Polyhedra