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OverviewBased on a graduate course at the Technische Universitat, 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. Full Product DetailsAuthor: Günter M. ZieglerPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Volume: 152 Weight: 0.685kg ISBN: 9780387943299ISBN 10: 0387943293 Pages: 370 Publication Date: 29 November 1994 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of Contentsand 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.ReviewsFrom 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. (Miklos Bona, MathDL, August, 2007) 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. (Miklos Bona, MathDL, August, 2007) 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. (Miklos Bona, MathDL, August, 2007) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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