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Lectures on Polytopes






Pub Date: 
Publisher:  Springer Verlag
Summary: Based on a graduate course given at the Technische Universitat, 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, includ...ing 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 examples and elegant constructions (cyclic and neighborly polytopes, zonotopes, Minkowski sums, permutahedra and associhedra, fiber polytopes, and the Lawrence construction) - show the excitement of current work in the field (Kalai's new diameter bounds, construction of non-rational polytopes, the Bohne-Dress tiling theorem, the upper-bound theorem), and nonextendable shellings) They should provide interesting and enjoyable reading for researchers as well as students.

Ziegler, Günter M. is the author of Lectures on Polytopes, published 1994 under ISBN 9780387943657 and 038794365X. Seven hundred fifteen Lectures on Polytopes textbooks are available for sale on ValoreBooks.com, one hundred five used from the cheapest price of $16.15, or buy new starting at $46.17.
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Lectures on Polytopes

ISBN-13: 9780387943657

ISBN: 038794365X

Pub Date:
Publisher: Springer Verlag
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