Description |
1 online resource (xvii, 380 pages). |
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data file |
Physical Medium |
polychrome |
Series |
Cambridge tracts in mathematics ; 154
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Cambridge tracts in mathematics ; 154.
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Bibliography |
Includes bibliographical references (pages 357-377) and index. |
Summary |
Annotation This book provides an in-depth, state-of-the-art discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments, collects other key data scattered about the literature, and provides a comprehensive treatment of problems whose interplay was not clearly understood prior to this text. Arrangements of congruent convex bodies in Euclidean space are covered, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered. |
Contents |
. Background -- Part I. Arrangements in Two Dimensions: -- g Congruent domains in the Euclidean plane -- 2. Translative arrangements -- 3. Parametric density -- 4. Packings of circular discs -- 5. Coverings by circular discs -- Part II. Arrangements in Higher Dimensions -- 6. Packings and coverings by spherical balls -- 7. Congruent convex bodies -- 8. Packings and coverings by unit balls -- 9. Translative arrangements -- 10. Parametric density. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Combinatorial packing and covering.
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Combinatorial packing and covering. |
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Combinatorial analysis.
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Combinatorial analysis. |
Genre/Form |
Electronic books.
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Electronic books.
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Other Form: |
Print version: Böröczky, K. Finite packing and covering. Cambridge, UK ; New York : Cambridge University Press, 2004 (DLC) 2003065450 |
ISBN |
0511211511 |
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9780511211515 |
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0521801575 |
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9780521801577 |
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0511216882 (electronic book) |
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9780511216886 (electronic book) |
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0511215096 (electronic book) |
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9780511215094 (electronic book) |
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9780511546587 (ebook) |
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0511546580 (ebook) |
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