The aim of this book is to introduce the reader to the fascinating world of convex polytopes. The highlights of the book are three main theorems in the combinat

"The original edition [...] inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advanc

This book is about the interplay of computational commutative algebra and the theory of convex polytopes. It centres around a special class of ideals in a polyn