E-Book, Englisch, Band 152, 370 Seiten, eBook
Ziegler Lectures on Polytopes
1995
ISBN: 978-1-4613-8431-1
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 152, 370 Seiten, eBook
Reihe: Graduate Texts in Mathematics
ISBN: 978-1-4613-8431-1
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
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.
