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Although some topics of Discrete Geometry have been studied for many years by people such as Kepler and Cauchy, nowadays this branch of geometry is developing very fast. Many of the problems from Discrete Geometry are of fundamental importance for fields like convex optimization, coding theory, computational geometry, computer graphics, etc., and they can be explained in very clear and appealed way. Moreover, Discrete Geometry is continuing to fascinate due to attractive unsolved problems. The main goal of Discrete Geometry is the study of discrete arrangements in Euclidean space, as well as in non-Euclidean spaces. The present book is mainly concentred on the non-Euclidean case. Under considerations are finite dimensional vector spaces with a norm, which are also called Minkowski spaces.

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Margarita Spirova is originally from Bulgaria, where she obtained her PhD degree. The last three years she has been working at the Chemnitz University of Technology, Germany, where, in 2010, she received her Habilitation. Her research interests are mainly concentrated in the areas of Discrete Geometry, Convexity, and Computational Geometry.

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