Limit search to available items
Book Cover
Author Zong, Chuanming.

Title The cube : a window to convex and discrete geometry / Chuanming Zong
Published Cambridge, UK ; New York : Cambridge University Press, 2006


Description 1 online resource (x, 174 pages) : illustrations
Series Cambridge tracts in mathematics ; 168
Cambridge tracts in mathematics ; 168.
Contents Cover; Half-Title; Title; Copyright; Contents; Preface; Basic notation; Introduction; Chapter 1 Cross sections; 1.1 Introduction; 1.2 Good's conjecture; 1.3 Hensley's conjecture; 1.4 Additional remarks; Chapter 2 Projections; 2.1 Introduction; 2.2 Lower bounds and upper bounds; 2.3 A symmetric formula; 2.4 Combinatorial shapes; Chapter 3 Inscribed simplices; 3.1 Introduction; 3.2 Binary matrices; 3.3 Upper bounds; 3.4 Some particular cases; Chapter 4 Triangulations; 4.1 An example; 4.2 Some special triangulations; 4.3 Smith's lower bound; 4.4 Lower-dimensional cases; Chapter 5 0/1 polytopes
Summary 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
Bibliography Includes bibliographical references (pages 166-172) and index
Notes Print version record
Subject Convex geometry.
Discrete geometry.
MATHEMATICS -- Geometry -- General.
Convex geometry.
Discrete geometry.
Konvexe Geometrie
Diskrete Geometrie
Dimension n
Form Electronic book
ISBN 0511140835