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Convex Polytopes

Branko Grünbaum
Publisher: 
Springer
Publication Date: 
2003
Format: 
Paperback
Edition: 
2
Series: 
Graduate Texts in Mathematics 221
Price: 
64.95
ISBN: 
978-0387404097
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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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.