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.