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Lectures on Polytopes is written by Günter M. Ziegler and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 1461384311 (ISBN 10) and 9781461384311 (ISBN 13).
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.