Minkowski Addition of Convex Sets
Title | Minkowski Addition of Convex Sets PDF eBook |
Author | Walter Joseph Meyer |
Publisher | |
Pages | 198 |
Release | 1969 |
Genre | Convex bodies |
ISBN |
Similarity and Symmetry Measures for Convex Sets Based on Minkowski Addition
Title | Similarity and Symmetry Measures for Convex Sets Based on Minkowski Addition PDF eBook |
Author | Hendricus Johannes Adrianus Maria Heijmans |
Publisher | |
Pages | 31 |
Release | 1996 |
Genre | |
ISBN |
Selected Topics in Convex Geometry
Title | Selected Topics in Convex Geometry PDF eBook |
Author | Maria Moszynska |
Publisher | Springer Science & Business Media |
Pages | 223 |
Release | 2006-11-24 |
Genre | Mathematics |
ISBN | 0817644512 |
Examines in detail those topics in convex geometry that are concerned with Euclidean space Enriched by numerous examples, illustrations, and exercises, with a good bibliography and index Requires only a basic knowledge of geometry, linear algebra, analysis, topology, and measure theory Can be used for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex analysis and optimization
Convex Bodies: The Brunn–Minkowski Theory
Title | Convex Bodies: The Brunn–Minkowski Theory PDF eBook |
Author | Rolf Schneider |
Publisher | Cambridge University Press |
Pages | 759 |
Release | 2014 |
Genre | Mathematics |
ISBN | 1107601010 |
A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.
Pairs of Compact Convex Sets
Title | Pairs of Compact Convex Sets PDF eBook |
Author | Diethard Ernst Pallaschke |
Publisher | Springer Science & Business Media |
Pages | 298 |
Release | 2013-04-17 |
Genre | Mathematics |
ISBN | 9401599203 |
The book is devoted to the theory of pairs of compact convex sets and in particular to the problem of finding different types of minimal representants of a pair of nonempty compact convex subsets of a locally convex vector space in the sense of the Rådström-Hörmander Theory. Minimal pairs of compact convex sets arise naturally in different fields of mathematics, as for instance in non-smooth analysis, set-valued analysis and in the field of combinatorial convexity. In the first three chapters of the book the basic facts about convexity, mixed volumes and the Rådström-Hörmander lattice are presented. Then, a comprehensive theory on inclusion-minimal representants of pairs of compact convex sets is given. Special attention is given to the two-dimensional case, where the minimal pairs are uniquely determined up to translations. This fact is not true in higher dimensional spaces and leads to a beautiful theory on the mutual interactions between minimality under constraints, separation and decomposition of convex sets, convexificators and invariants of minimal pairs.
Lectures On Convex Sets (Second Edition)
Title | Lectures On Convex Sets (Second Edition) PDF eBook |
Author | Valeriu Soltan |
Publisher | World Scientific |
Pages | 611 |
Release | 2019-11-28 |
Genre | Mathematics |
ISBN | 9811202133 |
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.
Polyhedral Computation
Title | Polyhedral Computation PDF eBook |
Author | |
Publisher | |
Pages | 147 |
Release | 2009 |
Genre | Polyhedra |
ISBN | 9781470417741 |
Many polytopes of practical interest have enormous output complexity and are often highly degenerate, posing severe difficulties for known general-purpose algorithms. They are, however, highly structured, and attention has turned to exploiting this structure, particularly symmetry. Initial applications of this approach have permitted computations previously far out of reach, but much remains to be understood and validated experimentally. The papers in this volume give a good snapshot of the ideas discussed at a Workshop on Polyhedral Computation held at the CRM in Montréal in October 2006 and,