Classical topics in discrete geometry
 Author/Creator
 Bezdek, Károly.
 Language
 English.
 Imprint
 New York : Springer, c2010.
 Physical description
 xiii, 163 p. ; 25 cm.
 Series
 CMS books in mathematics.
Access
Available online

Stacks

Unknown
QA640.7 .B49 2010

Unknown
QA640.7 .B49 2010
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Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Classical Topics Revisited. Sphere Packings. Finite Packings by Translates of Convex Bodies. Coverings by Homothetic Bodies  Illumination and Related Topics. Coverings by Planks and Cylinders. On the Volume of Finite Arrangements of Spheres. BallPolyhedra as Intersections of Congruent Balls. Selected Proofs. 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 KneserPoulsen Conjecture. Selected Proofs on BallPolyhedra.
 (source: Nielsen Book Data)
 Publisher's Summary
 Geometry is a classical core part of mathematics which, with its birth, marked the beginning of the mathematical sciences. Thus, not surprisingly, geometry has played a key role in many important developments of mathematics in the past, as well as in present times. While focusing on modern mathematics, one has to emphasize the increasing role of discrete mathematics, or equivalently, the broad movement to establish discrete analogues of major components of mathematics. In this way, the works of a number of outstanding mathema cians including H. S. M. Coxeter (Canada), C. A. Rogers (United Kingdom), and L. FejesT oth (Hungary) led to the new and fast developing eld called discrete geometry. One can brie y describe this branch of geometry as the study of discrete arrangements of geometric objects in Euclidean, as well as in nonEuclidean spaces. This, as a classical core part, also includes the theory of polytopes and tilings in addition to the theory of packing and covering. D crete geometry is driven by problems often featuring a very clear visual and applied character. The solutions use a variety of methods of modern mat matics, including convex and combinatorial geometry, coding theory, calculus of variations, di erential geometry, group theory, and topology, as well as geometric analysis and number theory.
(source: Nielsen Book Data)
Subjects
 Subject
 Discrete geometry.
Bibliographic information
 Publication date
 2010
 Responsibility
 Károly Bezdek.
 Series
 CMS books in mathematics, 16135237
 ISBN
 9781441905994
 1441905995
 9781441906007
 1441906002
 Publisher Number
 12324637