The Cube-A Window to Convex and Discrete Geometry Sarnak, P.
Publisher: Cambridge : Cambridge University Press, 2006.
ISBN: 0511140061
DDC: 516.08
LCC: QA639.5
Edition: (electronic bk.)
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.
Notes:
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.
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
Hajڳos proof; 6.4 Other versions; Chpater 7 Furtwںangler s
conjecture; 7.1 Furtwںangler s conjecture; 7.2 A theorem of
Furtwںangler and Hajڳos; 7.3 Hajڳos counterexamples; 7.4 Robinson s
characterization; Chapter 8 Keller s conjecture; 8.1 Keller s conjec.
Electronic reproduction.Available via World Wide Web.Access may be
limited to libraries affiliated with Ebooks Corporation.
Click on a subject to see other books listed with the same
subject or to drill down into components of the subject -- such as
geographical locations, dates and so on.
We query many merchants so that you can instantly
compare prices and
availability. You can even check historic prices and subscribe
for notifications. For a manual check, clicking on a link will open a
new window with a search for this book on the merchant's site of your
choice.
