Books by Karoly Bezdek

Volume of geometric objects was studied by ancient Greek mathematicians. In discrete geometry, a relatively new branch of geometry, volume plays a significant role in generating topics for research. Part I consists of survey chapters of selected topics on volume and Part II consisting of chapters of selected proofs of theorems stated in Part I.

This book gives a short introduction to parts of modern discrete geometry in addition to leading the reader to the frontiers of geometric research on sphere arrangements. It contains 30 open research problems ideal for graduate students and researchers.

This monograph leads the reader to the frontiers of the very latest research developments in what is regarded as the central zone of discrete geometry. It is constructed around four classic problems in the subject, including the Kneser-Poulsen Conjecture.