Lectures on Polytopes / Edition 1

Lectures on Polytopes / Edition 1

by Gunter M. Ziegler, F. W. Gehring, GÙnter M. Ziegler
     
 

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ISBN-10: 038794365X

ISBN-13: 9780387943657

Pub. Date: 11/29/1994

Publisher: Springer New York

Based on a graduate course at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The straightforward exposition features many illustrations, and complete proofs for most theorems. With only linear algebra as a prerequisite, it takes the reader quickly from the basics to topics of recent

Overview

Based on a graduate course at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The straightforward exposition features many illustrations, and complete proofs for most theorems. With only linear algebra as a prerequisite, it takes the reader quickly from the basics to topics of recent research. The lectures introduce basic facts about polytopes, with an emphasis on methods that yield the results, discuss important examples and elegant constructions, and show the excitement of current work in the field. They will provide interesting and enjoyable reading for researchers as well as students.

Product Details

ISBN-13:
9780387943657
Publisher:
Springer New York
Publication date:
11/29/1994
Series:
Graduate Texts in Mathematics Series, #152
Edition description:
Softcover reprint of the original 1st ed. 1995
Pages:
370
Product dimensions:
0.80(w) x 6.14(h) x 9.21(d)

Table of Contents

Preface; Preface to the Second Printing; Introduction and Examples; 1. Polytopes, Polyhedra, and Cones; 2. Faces of Polytopes; 3. Graphs for Polytopes; 4. Steinitz' Theorem for 3-Polytopes; 5. Schlegel Diagrams for 4-Polytopes; 6. Duality, Gale Diagrams, and Applications; 7. Fans, Arrangements, Zonotopes, and Tilings; 8. Shellability and the Upper Bound Theorem; 9. Fiber Polytopes, and Beyond; References; Index.

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