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Finite Packing and Covering.[electronic resource].

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	511/.6
書名/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.
標題:	Combinatorial packing and covering.
ISBN:	9780511546587 (electronic bk.)
ISBN:	9780521801577 (print)
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
摘要、提要註:	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.
電子資源:	Click here to view book

Finite Packing and Covering.[electronic resource].
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:

383515
Combinatorial packing and covering.
Index Terms--Genre/Form:

336502
Electronic books.

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

Dewey Class. No.: 511/.6

Finite Packing and Covering.[electronic resource].
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100 1 $a Boroczky, Jr, Karoly. $3 383514
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 383515
655 7 $a Electronic books. $2 local $3 336502
700 1 $a Bollobas, B. $3 380635
700 1 $a Fulton, W. $3 380636
700 1 $a Katok, A. $3 380637
700 1 $a Kirwan, F. $3 380638
700 1 $a Sarnak, P. $3 380639
700 1 $a Simon, B. $3 380660
710 2 $a Ebooks Corporation. $3 380544
776 1 $z 9780521801577
856 4 0 $z Click here to view book $u http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511546587