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Convex Polytopes 2nd Edition by Branko Grunbaum ISBN 9780387004242

  • SKU: BELL-2107610
Convex Polytopes 2nd Edition by Branko Grunbaum ISBN 9780387004242
$ 31.00 $ 45.00 (-31%)

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Convex Polytopes 2nd Edition by Branko Grunbaum ISBN 9780387004242 instant download after payment.

Publisher: Springer
File Extension: PDF
File size: 10.33 MB
Pages: 562
Author: Branko Grünbaum
ISBN: 9780387004242, 0387004246
Language: English
Year: 2003
Edition: 2nd

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Convex Polytopes 2nd Edition by Branko Grunbaum ISBN 9780387004242 by Branko Grünbaum 9780387004242, 0387004246 instant download after payment.

Convex Polytopes 2nd Edition by Branko Grunbaum - Ebook PDF Instant Download/Delivery: 9780387004242 
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ISBN 13: 9780387004242
Author: Branko Grunbaum

"The appearance of Grünbaum's book Convex Polytopes in 1967 was a moment of grace to geometers and combinatorialists. The special spirit of the book is very much alive even in those chapters where the book's immense influence made them quickly obsolete. Some other chapters promise beautiful unexplored land for future research. The appearance of the new edition is going to be another moment of grace. Kaibel, Klee and Ziegler were able to update the convex polytope saga in a clear, accurate, lively, and inspired way." (Gil Kalai, The Hebrew University of Jerusalem) "The original book of Grünbaum has provided the central reference for work in this active area of mathematics for the past 35 years...I first consulted this book as a graduate student in 1967; yet, even today, I am surprised again and again by what I find there. It is an amazingly complete reference for work on this subject up to that time and continues to be a major influence on research to this day." (Louis J. Billera, Cornell University) "The original edition of Convex Polytopes inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again." (Peter McMullen, University College London)

Convex Polytopes 2nd Table of contents:

  1. Notation and Prerequisites

  2. Convex Sets

  3. Polytopes

  4. Examples

  5. Fundamental Properties and Constructions

  6. Polytopes with Few Vertices

  7. Neighborly Polytopes

  8. Euler’s Relation

  9. Analogues of Euler’s Relation

  10. Extremal Problems Concerning Numbers of Faces

  11. Properties of Boundary Complexes

  12. k-Equivalence of Polytopes

  13. 3-Polytopes

  14. Angle-sums Relations; the Steiner Point

  15. Addition and Decomposition of Polytopes

  16. Diameters of Polytopes

  17. Long Paths and Circuits on Polytopes

  18. Arrangements of Hyperplanes

  19. Concluding Remarks

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Tags: Branko Grunbaum, Convex, Polytopes

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