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  • © 1995

Lectures on Polytopes

Part of the book series: Graduate Texts in Mathematics (GTM, volume 152)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction and Examples

    • Günter M. Ziegler
    Pages 1-26
  3. Polytopes, Polyhedra, and Cones

    • Günter M. Ziegler
    Pages 27-50
  4. Faces of Polytopes

    • Günter M. Ziegler
    Pages 51-76
  5. Graphs of Polytopes

    • Günter M. Ziegler
    Pages 77-102
  6. Steinitz’ Theorem for 3-Polytopes

    • Günter M. Ziegler
    Pages 103-126
  7. Schlegel Diagrams for 4-Polytopes

    • Günter M. Ziegler
    Pages 127-148
  8. Duality, Gale Diagrams, and Applications

    • Günter M. Ziegler
    Pages 149-190
  9. Fans, Arrangements, Zonotopes, and Tilings

    • Günter M. Ziegler
    Pages 191-230
  10. Shellability and the Upper Bound Theorem

    • Günter M. Ziegler
    Pages 231-290
  11. Fiber Polytopes, and Beyond

    • Günter M. Ziegler
    Pages 291-324
  12. Fiber Polytopes, and Beyond

    • Günter M. Ziegler
    Pages 291-324
  13. Back Matter

    Pages 325-373

Reviews

From the reviews:

"This is an excellent book on convex polytopes written by a young and extremely active researcher." (Acta Scientiarum Mathematicarum)

"From the publication of the first printing, in 1994, this book became one of the most widely used textbooks in Discrete Geometry. The reviewer sees at least two reasons for that: the beautiful mathematics presented here, and the fact that the book can be used at a wide variety of levels, for several different courses. … It is not only students who can benefits from the book. Researchers will find its updates notes and references very helpful." (Miklós Bóna, MathDL, August, 2007)

Authors and Affiliations

  • Technische Universtät Berlin, Berlin, Germany

    Günter M. Ziegler

Bibliographic Information

  • Book Title: Lectures on Polytopes

  • Authors: Günter M. Ziegler

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4613-8431-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1995

  • Hardcover ISBN: 978-0-387-94329-9Due: 29 November 1994

  • Softcover ISBN: 978-0-387-94365-7Published: 29 November 1994

  • eBook ISBN: 978-1-4613-8431-1Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XI, 370

  • Number of Illustrations: 78 b/w illustrations

  • Topics: Geometry

Buy it now

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access