Convex polytopes / Branko Grünbaum ; prepared by Vokel Kaibel, Victor klee, and Günter M. Zeigler

Edition
  • 2nd ed.
Published
  • New York : Springer c2003
Physical description
xvi, 466 p. : ill. ; 24 cm.
ISBN
  • 9780387404097
  • 0387004246 (acid-free paper)
  • 9780387004242 (acid-free paper)
  • 0387404090
Notes
  • Includes bibliographical references (p. 429-448) and indexes..
Contents
  • 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 -- 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 circuits and polytopes (by Victor Klee) -- Arrangements of hyperplanes -- Concluding remarks.
Genre
  • Bibliography
  • Illustrated
Language
  • English

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