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Convex Polytopes Second Edition Prepared by Volker Kaibel, Victor Klee, and
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Convex Polytopes Second Edition Prepared by Volker Kaibel, Victor Klee, and Günter Ziegler (Graduate Texts in Mathematics) Paperback - 2003

by Branko Grunbaum


From the publisher

The appearance of Gruenbaum'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

First line

With few exceptions, we shall be concerned with convexity in Rd, the d-dimensional real Euclidean space.

From the rear cover

"The appearance of Grnbaum'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 Grnbaum 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)

Details

  • Title Convex Polytopes Second Edition Prepared by Volker Kaibel, Victor Klee, and Günter Ziegler (Graduate Texts in Mathematics)
  • Author Branko Grunbaum
  • Binding Paperback
  • Edition 2nd
  • Pages 466
  • Language ENG
  • Publisher Springer, New York/Berlin/et al.
  • Date October 1, 2003
  • Features Bibliography, Illustrated, Index, Table of Contents
  • ISBN 9780387404097
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