Lectures on Polytopes (Graduate Texts in Mathematics) |  | Author: Gunter M. Ziegler
Publisher: Springer
List Price: $44.95
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Rating:  1 reviews
Sales Rank: 526777
Media: Paperback
Pages: 370
Number Of Items: 1
Shipping Weight (lbs): 1.2
Dimensions (in): 9.1 x 6.1 x 0.9
ISBN: 038794365X
Dewey Decimal Number: 516.35
EAN: 9780387943657
ASIN: 038794365X
Publication Date: November 29, 1994
Availability: Usually ships in 1-2 business days
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Product Description
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 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, including 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.
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| Customer Reviews:
Excellent! March 24, 2000
8 out of 9 found this review helpful
If you are browsing around for a recent advanced text on modern polytope theory, this is it. Ziegler is very clear, comprehensive, and provides hundreds of references.
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