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)
Author(s): Günter M. Ziegler (auth.)
Series: Graduate Texts in Mathematics 152
Edition: 1
Publisher: Springer-Verlag New York
Year: 1995
Language: English
Pages: 370
Tags: Geometry
Front Matter....Pages i-xiii
Introduction and Examples....Pages 1-26
Polytopes, Polyhedra, and Cones....Pages 27-50
Faces of Polytopes....Pages 51-76
Graphs of Polytopes....Pages 77-102
Steinitz’ Theorem for 3-Polytopes....Pages 103-126
Schlegel Diagrams for 4-Polytopes....Pages 127-148
Duality, Gale Diagrams, and Applications....Pages 149-190
Fans, Arrangements, Zonotopes, and Tilings....Pages 191-230
Shellability and the Upper Bound Theorem....Pages 231-290
Fiber Polytopes, and Beyond....Pages 291-324
Fiber Polytopes, and Beyond....Pages 291-324
Back Matter....Pages 325-373
