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Convex Polytopes

Edition: 
2
Publisher: 
Springer
Price: 
64.95
ISBN: 
978-0387404097
Date Received: 
Monday, February 22, 2010
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Branko Grünbaum
Series: 
Graduate Texts in Mathematics 221
Publication Date: 
2003
Format: 
Paperback
Category: 
Monograph
BLL Committee
02/22/2010
BLL Rating: 

Preface.- Notation and prerequisites.- Convex sets.- Polytopes.- Examples.- Fundamental properties and constructions.- Polytopes with few vertices.- Neighborly polytopes.- Euler's relation.- Analogues of Euler's relation.- Extremal problems concerning numbers of faces.- Properties of boundary complexes.- k-Equivalence of polytopes.- 3- Polytopes.- Angle-sums relations; the Steiner point.- Addition and decomposition of polytopes (by G.C. Shephard).- Diameters of Polytopes (by Victor Klee).- Long paths and cicuits on polytopes (by Victor Klee).- Arrangements of hyperplanes.- Concluding remarks.- Tables.- Addendum.- Errata.- Bibliography.- Index of terms.- Index of symbols.

Publish Book: 
Modify Date: 
Tuesday, March 2, 2010

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