Convex Polytopes

  • Branko Grünbaum
  • Volker Kaibel
  • Victor Klee
  • Günter M. Ziegler

Part of the Graduate Texts in Mathematics book series (GTM, volume 221)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Branko Grünbaum
    Pages 1-9
  3. Branko Grünbaum
    Pages 10-34
  4. Branko Grünbaum
    Pages 35-60
  5. Branko Grünbaum
    Pages 61-79
  6. Branko Grünbaum
    Pages 80-108
  7. Branko Grünbaum
    Pages 109-135
  8. Branko Grünbaum
    Pages 136-145
  9. Branko Grünbaum
    Pages 146-160
  10. Branko Grünbaum
    Pages 161-191
  11. Branko Grünbaum
    Pages 192-222
  12. Branko Grünbaum
    Pages 223-250
  13. Branko Grünbaum
    Pages 251-262
  14. Branko Grünbaum
    Pages 263-328
  15. Branko Grünbaum
    Pages 329-349
  16. Branko Grünbaum
    Pages 350-377
  17. Branko Grünbaum
    Pages 379-395
  18. Branko Grünbaum
    Pages 396-431
  19. Branko Grünbaum
    Pages 432-454
  20. Branko Grünbaum
    Pages 455-489
  21. Back Matter
    Pages 474-547

About this book


"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)


YellowSale2006 algebra boundary element method character construction convex hull Dimension duality extrema mathematics proof set sets theorem topology

Authors and affiliations

  • Branko Grünbaum
    • 1
  1. 1.Department of MathematicsUniversity of Washington, SeattleSeattleUSA

Editors and affiliations

  • Volker Kaibel
    • 1
  • Victor Klee
    • 2
  • Günter M. Ziegler
    • 1
  1. 1.MA 6-2, Institute of MathematicsTU BerlinBerlinGermany
  2. 2.Department of MathematicsUniversity of WashingtonSeattleUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-40409-7
  • Online ISBN 978-1-4613-0019-9
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site