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The Cube-A Window to Convex and Disc...

Zong, Chuanming.

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The Cube-A Window to Convex and Discrete Geometry.

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Cube-A Window to Convex and Discrete Geometry./
Author:	Zong, Chuanming.
other author:	Bollobas, B.
Published:	Cambridge :Cambridge University Press, : 2006.,
Description:	186 p.
[NT 15003449]:	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
[NT 15003449]:	5.1 Introduction5.2 0/1 polytopes and coding theory; 5.3 Classification; 5.4 The number of facets; Chapter 6 Minkowski's conjecture; 6.1 Minkowski's conjecture; 6.2 An algebraic version; 6.3 Hajos' proof; 6.4 Other versions; Chpater 7 Furtwangler's conjecture; 7.1 Furtwangler's conjecture; 7.2 A theorem of Furtwangler and Hajos; 7.3 Hajos 'counterexamples; 7.4 Robinson's characterization; Chapter 8 Keller's conjecture; 8.1 Keller's conjec
Subject:	Convex geometry. -
Online resource:	http://dx.doi.org/10.1017/CBO9780511543173#Click here to view book
ISBN:	9780511543173# (electronic bk.)

The Cube-A Window to Convex and Discrete Geometry.
Zong, Chuanming.

The Cube-A Window to Convex and Discrete Geometry.[electronic resource]. - Cambridge :Cambridge University Press,2006. - 186 p.

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

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.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511543173# (electronic bk.)Subjects--Topical Terms:

567300
Convex geometry.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA639.5 .Z66 2006eb

Dewey Class. No.: 516.08

The Cube-A Window to Convex and Discrete Geometry.
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300 $a 186 p.
505 0 $a 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
505 8 $a 5.1 Introduction5.2 0/1 polytopes and coding theory; 5.3 Classification; 5.4 The number of facets; Chapter 6 Minkowski's conjecture; 6.1 Minkowski's conjecture; 6.2 An algebraic version; 6.3 Hajos' proof; 6.4 Other versions; Chpater 7 Furtwangler's conjecture; 7.1 Furtwangler's conjecture; 7.2 A theorem of Furtwangler and Hajos; 7.3 Hajos 'counterexamples; 7.4 Robinson's characterization; Chapter 8 Keller's conjecture; 8.1 Keller's conjec
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.
533 $a Electronic reproduction. $n Available via World Wide Web.
538 $a Mode of access: World Wide Web.
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700 1 $a Kirwan, F. $3 1897717
700 1 $a Sarnak, P. $3 1897718
700 1 $a Simon, B. $3 1897730
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