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Finite Packing and Covering.

紀錄類型:	書目-語言資料,印刷品 : 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.
標題:	Combinatorial packing and covering. -
電子資源:	Click here to view book
ISBN:	9780511213281 (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: 9780511213281 (electronic bk.)Subjects--Topical Terms:

528380
Combinatorial packing and covering.
Index Terms--Genre/Form:

554714
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 684468
245 1 0 $a Finite Packing and Covering. $h [electronic resource].
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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 528380
655 7 $a Electronic books. $2 local $3 554714
700 1 $a Bollobas, B. $3 684075
700 1 $a Fulton, W. $3 684076
700 1 $a Katok, A. $3 684077
700 1 $a Kirwan, F. $3 684078
700 1 $a Sarnak, P. $3 684079
700 1 $a Simon, B. $3 684097
710 2 $a Ebooks Corporation. $3 683803
776 1 $z 9780521801577
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