大葉大學圖書館 |

登入

回首頁 到查詢結果 [ subject:"Discrete geometry." ]

The cube :a window to convex and dis...

Zong, Chuanming,

The cube :a window to convex and discrete geometry /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	516.08
書名/作者:	The cube : : a window to convex and discrete geometry // Chuanming Zong.
其他題名:	The Cube-A Window to Convex & Discrete Geometry
作者:	Zong, Chuanming,
面頁冊數:	1 online resource (x, 174 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Convex geometry.
標題:	Discrete geometry.
ISBN:	9780511543173 (ebook)
內容註:	Basic notation -- Cross sections -- Projections -- Inscribed simplices -- Triangulations -- 0/1 polytopes -- Minkowski's conjecture -- Furtwangler's conjecture -- Keller's conjecture.
摘要、提要註:	This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them. The unit cubes, from any point of view, are among the most important and fascinating objects in an n-dimensional Euclidean space. However, our knowledge about them is still quite limited and many basic problems remain unsolved. In this Tract eight topics about the unit cubes are introduced: cross sections, projections, inscribed simplices, triangulations, 0/1 polytopes, Minkowski's conjecture, Furtwangler's conjecture, and Keller's conjecture. In particular the author demonstrates how deep analysis like log concave measure and the Brascamp-Lieb inequality can deal with the cross section problem, how Hyperbolic Geometry helps with the triangulation problem, how group rings can deal with Minkowski's conjecture and Furtwangler's conjecture, and how Graph Theory handles Keller's conjecture.
電子資源:	http://dx.doi.org/10.1017/CBO9780511543173

The cube :a window to convex and discrete geometry /
Zong, Chuanming,

The cube :a window to convex and discrete geometry /The Cube-A Window to Convex & Discrete GeometryChuanming Zong. - 1 online resource (x, 174 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;168. - Cambridge tracts in mathematics ;169..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Basic notation -- Cross sections -- Projections -- Inscribed simplices -- Triangulations -- 0/1 polytopes -- Minkowski's conjecture -- Furtwangler's conjecture -- Keller's conjecture.

This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them. The unit cubes, from any point of view, are among the most important and fascinating objects in an n-dimensional Euclidean space. However, our knowledge about them is still quite limited and many basic problems remain unsolved. In this Tract eight topics about the unit cubes are introduced: cross sections, projections, inscribed simplices, triangulations, 0/1 polytopes, Minkowski's conjecture, Furtwangler's conjecture, and Keller's conjecture. In particular the author demonstrates how deep analysis like log concave measure and the Brascamp-Lieb inequality can deal with the cross section problem, how Hyperbolic Geometry helps with the triangulation problem, how group rings can deal with Minkowski's conjecture and Furtwangler's conjecture, and how Graph Theory handles Keller's conjecture.

ISBN: 9780511543173 (ebook)Subjects--Topical Terms:

567098
Convex geometry.

LC Class. No.: QA639.5 / .Z64 2006

Dewey Class. No.: 516.08

The cube :a window to convex and discrete geometry /
LDR:02303nam a22003138i 4500 001 448490
003 UkCbUP
005 20151005020621.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 161201s2006||||enk o ||1 0|eng|d
020 $a 9780511543173 (ebook)
020 $z 9780521855358 (hardback)
035 $a CR9780511543173
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA639.5 $b .Z64 2006
082 0 4 $a 516.08 $2 22
100 1 $a Zong, Chuanming, $e author. $3 643213
245 1 4 $a The cube : $b a window to convex and discrete geometry / $c Chuanming Zong.
246 3 $a The Cube-A Window to Convex & Discrete Geometry
264 1 $a Cambridge : $b Cambridge University Press, $c 2006.
300 $a 1 online resource (x, 174 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
490 1 $a Cambridge tracts in mathematics ; $v 168
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Basic notation -- Cross sections -- Projections -- Inscribed simplices -- Triangulations -- 0/1 polytopes -- Minkowski's conjecture -- Furtwangler's conjecture -- Keller's conjecture.
520 $a This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them. The unit cubes, from any point of view, are among the most important and fascinating objects in an n-dimensional Euclidean space. However, our knowledge about them is still quite limited and many basic problems remain unsolved. In this Tract eight topics about the unit cubes are introduced: cross sections, projections, inscribed simplices, triangulations, 0/1 polytopes, Minkowski's conjecture, Furtwangler's conjecture, and Keller's conjecture. In particular the author demonstrates how deep analysis like log concave measure and the Brascamp-Lieb inequality can deal with the cross section problem, how Hyperbolic Geometry helps with the triangulation problem, how group rings can deal with Minkowski's conjecture and Furtwangler's conjecture, and how Graph Theory handles Keller's conjecture.
650 0 $a Convex geometry. $3 567098
650 0 $a Discrete geometry. $3 635582
776 0 8 $i Print version: $z 9780521855358
830 0 $a Cambridge tracts in mathematics ; $v 169. $3 642585
856 4 0 $u http://dx.doi.org/10.1017/CBO9780511543173

筆 0 讀者評論

多媒體

多媒體檔案
http://dx.doi.org/10.1017/CBO9780511543173

評論

新增評論分享你的心得

Export

取書館別