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Finite Packing and Covering.

Boroczky, Jr, Karoly.

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Finite Packing and Covering.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Finite Packing and Covering./
作者:	Boroczky, Jr, Karoly.
其他作者:	Bollobas, B.
出版者:	Cambridge :Cambridge University Press, : 2004.,
面頁冊數:	400 p.
內容註:	Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; Notation; 1 Congruent Domains in the Euclidean Plane; 2 Translative Arrangements; 3 Parametric Density; 4 Packings of Circular Discs; 5 Coverings by Circular Discs; 6 Packings and Coverings by Spherical Balls; 7 Congruent Convex Bodies; 8 Packings and Coverings by Unit Balls; 9 Translative Arrangements; 10 Parametric Density; Appendix: Background; A.1. Some General Notions; A.2. Convex Sets in Rd; A.3. The Space of Compact Convex Sets in Rd; A.4. The Spherical Space and the Hyperbolic Space
內容註:	A.5. Surfaces of Constant CurvatureA.6. Mixed Areas in R2; A.7. Polyhedral Sets and Polytopes in Rd; A.8. Associated Balls and Ellipsoids in Rd; A.9. Volume, Surface Area, and Lebesgue Measure in Rd; A.10. Hausdorff Measure and Lipschitz Functions in Rd; A.11. Intrinsic Volumes in Rd; A.12. Mixed Volumes in Rd; A.13. Lattices in Rd and Tori; A.14. A Little Bit of Probability; Bibliography; Index
標題:	Combinatorial packing and covering. -
電子資源:	http://dx.doi.org/10.1017/CBO9780511546587Click here to view book
ISBN:	9780511546587 (electronic bk.)

Finite Packing and Covering.
Boroczky, Jr, Karoly.

Finite Packing and Covering.[electronic resource]. - Cambridge :Cambridge University Press,2004. - 400 p.

Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; Notation; 1 Congruent Domains in the Euclidean Plane; 2 Translative Arrangements; 3 Parametric Density; 4 Packings of Circular Discs; 5 Coverings by Circular Discs; 6 Packings and Coverings by Spherical Balls; 7 Congruent Convex Bodies; 8 Packings and Coverings by Unit Balls; 9 Translative Arrangements; 10 Parametric Density; Appendix: Background; A.1. Some General Notions; A.2. Convex Sets in Rd; A.3. The Space of Compact Convex Sets in Rd; A.4. The Spherical Space and the Hyperbolic Space

This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments and provides a comprehensive treatment of problems whose interplay was not clearly understood before. Two-dimensional and higher-dimensional arrangements are discussed separately, arrangements of congruent convex bodies in Euclidean space are discussed, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511546587 (electronic bk.)Subjects--Topical Terms:

520467
Combinatorial packing and covering.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA166.7 .B67 2004eb

Dewey Class. No.: 511/.6

Finite Packing and Covering.
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100 1 $a Boroczky, Jr, Karoly. $3 1898256
245 1 0 $a Finite Packing and Covering. $h [electronic resource].
260 $a Cambridge : $b Cambridge University Press, $c 2004.
300 $a 400 p.
505 0 $a Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; Notation; 1 Congruent Domains in the Euclidean Plane; 2 Translative Arrangements; 3 Parametric Density; 4 Packings of Circular Discs; 5 Coverings by Circular Discs; 6 Packings and Coverings by Spherical Balls; 7 Congruent Convex Bodies; 8 Packings and Coverings by Unit Balls; 9 Translative Arrangements; 10 Parametric Density; Appendix: Background; A.1. Some General Notions; A.2. Convex Sets in Rd; A.3. The Space of Compact Convex Sets in Rd; A.4. The Spherical Space and the Hyperbolic Space
505 8 $a A.5. Surfaces of Constant CurvatureA.6. Mixed Areas in R2; A.7. Polyhedral Sets and Polytopes in Rd; A.8. Associated Balls and Ellipsoids in Rd; A.9. Volume, Surface Area, and Lebesgue Measure in Rd; A.10. Hausdorff Measure and Lipschitz Functions in Rd; A.11. Intrinsic Volumes in Rd; A.12. Mixed Volumes in Rd; A.13. Lattices in Rd and Tori; A.14. A Little Bit of Probability; Bibliography; Index
520 $a This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments and provides a comprehensive treatment of problems whose interplay was not clearly understood before. Two-dimensional and higher-dimensional arrangements are discussed separately, arrangements of congruent convex bodies in Euclidean space are discussed, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered.
533 $a Electronic reproduction. $n Available via World Wide Web.
538 $a Mode of access: World Wide Web.
650 4 $a Combinatorial packing and covering. $3 520467
655 7 $a Electronic books. $2 lcsh $3 542853
700 1 $a Bollobas, B. $3 1897715
700 1 $a Fulton, W. $3 713901
700 1 $a Katok, A. $3 1897716
700 1 $a Kirwan, F. $3 1897717
700 1 $a Sarnak, P. $3 1897718
700 1 $a Simon, B. $3 1897730
710 2 $a Ebooks Corporation. $3 1314793
776 1 $z 9780521801577
856 4 0 $z Click here to view book $u http://dx.doi.org/10.1017/CBO9780511546587