Lectures on Polytopes

Name: Lectures on Polytopes
Price: 44.59 USD
Availability: InStock
ISBN: 9780387943657

ISBN-10: 038794365X

ISBN-13: 9780387943657

Edition: 1995 (Revised)

Authors: Gunter M. Ziegler

List price: $49.95

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Description:

Based on a graduate course given at the Technische Universitt, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The clear and straightforward presentation features many illustrations, and provides complete proofs for most theorems. The material requires only linear algebra as a prerequisite, but takes the reader quickly from the basics to topics of recent research, including a number of unanswered questions. The lectures - introduce the basic facts about polytopes, with an emphasis on the methods that yield the results (Fourier-Motzkin elimination, Schlegel diagrams, shellability, Gale transforms, and oriented matroids) - discuss important…

Book details

List price: $49.95
Copyright year: 1995
Publisher: Springer New York
Publication date: 11/29/1994
Binding: Paperback
Pages: 370
Size: 6.10" wide x 9.25" long x 0.28" tall
Weight: 1.496
Language: English



Preface


Preface to the Second Printing


Introduction and Examples



Polytopes, Polyhedra, and Cones



Faces of Polytopes



Graphs for Polytopes



Steinitz' Theorem for 3-Polytopes



Schlegel Diagrams for 4-Polytopes



Duality, Gale Diagrams, and Applications



Fans, Arrangements, Zonotopes, and Tilings



Shellability and the Upper Bound Theorem



Fiber Polytopes, and Beyond


References


Index