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Ziegler

Lectures on Polytopes

Medium: Buch
ISBN: 978-0-387-94365-7
Verlag: Humana
Erscheinungstermin: 29.11.1994
Lieferfrist: bis zu 10 Tage

Based on a graduate course given at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The clear and straightforward exposition 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, 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.


Produkteigenschaften


  • Artikelnummer: 9780387943657
  • Medium: Buch
  • ISBN: 978-0-387-94365-7
  • Verlag: Humana
  • Erscheinungstermin: 29.11.1994
  • Sprache(n): Englisch
  • Auflage: 1995
  • Serie: Graduate Texts in Mathematics
  • Produktform: Kartoniert, Paperback
  • Gewicht: 587 g
  • Seiten: 370
  • Format (B x H x T): 155 x 235 x 21 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

and Examples.- Polytopes, Polyhedra, and Cones.- Faces of Polytopes.- Graphs of 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.- Fiber Polytopes, and Beyond.