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langi z bezdek k volumetric discrete geometry 2019

Type:: E-books
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Textbook in PDF format Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume, introduces problems related to it, and presents methods to apply it to other geometric problems. Part I of the text consists of survey chapters of selected topics on volume and is suitable for advanced undergraduate students. Part II has chapters of selected proofs of theorems stated in Part I and is oriented for graduate level students wishing to learn about the latest research on the topic. Chapters can be studied independently from each other. Provides a list of 30 open problems to promote research. Features more than 60 research exercises. Ideally suited for researchers and students of combinatorics, geometry and discrete mathematics. Selected Topics Volumetric Properties of (m, d)-scribed Polytopes Volume of the Convex Hull of a Pair of Convex Bodies The Kneser-Poulsen conjecture revisited Volumetric Bounds for Contact Numbers More on Volumetric Properties of Separable Packings 　 Selected Proofs Proofs on Volume Inequalities for Convex Polytopes Proofs on the Volume of the Convex Hull of a Pair of Convex Bodies Proofs on the Kneser-Poulsen conjecture Proofs on Volumetric Bounds for Contact Numbers More Proofs on Volumetric Properties of Separable Packings Open Problems: An Overview

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Langi Z., Bezdek K. Volumetric Discrete Geometry 2019.pdf 6.7 MB

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langi z bezdek k volumetric discrete geometry 2019