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

Bollobas, B.

The Cube-A Window to Convex and Discrete Geometry.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The Cube-A Window to Convex and Discrete Geometry.
作者:	Zong, Chuanming.
其他作者:	Bollobas, B.
出版者:	Cambridge :Cambridge University Press,2006.
面頁冊數:	186 p.
標題:	Convex geometry.
電子資源:	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�� conjecture; 1.3 Hensley�� 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�� 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:

187435
Convex geometry.
Index Terms--Genre/Form:

214472
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�� conjecture; 1.3 Hensley�� 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�� 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�� conjecture; 6.1 Minkowski�� conjecture; 6.2 An algebraic version; 6.3 Hajos��proof; 6.4 Other versions; Chpater 7 Furtwangler�� conjecture; 7.1 Furtwangler�� conjecture; 7.2 A theorem of Furtwangler and Hajos; 7.3 Hajos ��ounterexamples; 7.4 Robinson�� characterization; Chapter 8 Keller�� conjecture; 8.1 Keller�� 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.
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