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The Cube-A Window to Convex and Disc...
~
Kirwan, F.
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.
Subject:
Convex geometry. -
Online resource:
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:
277689
Convex geometry.
Index Terms--Genre/Form:
96803
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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The Cube-A Window to Convex and Discrete Geometry.
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[electronic resource].
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2006.
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Cambridge University Press,
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186 p.
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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
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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
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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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Electronic reproduction.
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Available via World Wide Web.
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Mode of access: World Wide Web.
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Convex geometry.
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Bollobas, B.
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Fulton, W.
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Katok, A.
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Kirwan, F.
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Sarnak, P.
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Simon, B.
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Click here to view book
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511543173#
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