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Classical topics in discrete geometry

Author: Károly Bezdek
Publisher: New York : Springer, ©2010.
Series: CMS books in mathematics.
Edition/Format:   Print book : Document   Computer File : EnglishView all editions and formats
Summary:
"This multipurpose book can serve as a textbook for a semester long graduate level course giving a brief introduction to Discrete Geometry. It also can serve as a research monograph that leads the reader to the frontiers of the most recent research developments in the classical core part of discrete geometry. Finally, the forty-some selected research problems offer a great chance to use the book as a short problem  Read more...
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Genre/Form: Electronic books
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: Károly Bezdek
ISBN: 9781441905994 1441905995 9781441906007 1441906002
OCLC Number: 436031056
Language Note: English.
Description: xiii, 163 pages ; 25 cm.
Contents: Sphere packings --
Finite packings by translates of convex bodies --
Coverings by homothetic bodies --
Coverings by planks and cylinders --
On the volume of finite arrangements of spheres --
Ball-polyhedra as intersections of congruent balls --
Selected proofs on sphere packings --
Selected proofs on finite packings of translates of convex bodies --
Selected proofs on illumination and related topics --
Selected proofs on coverings by planks and cylinders --
Selected proofs on the Kneser-Poulsen conjecture --
Selected proofs on ball-polyhedra.
Series Title: CMS books in mathematics.
Responsibility: Károly Bezdek.
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Abstract:

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  Read more...

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From the reviews:"The present volume actually surveys packing and covering problems in Euclidean space and close cousins. ... Bezdek ... surveys the state of the art, best results, and outstanding Read more...

 
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