This book uses new mathematical tools to examine broad computability and complexity questions in enumerative combinatorics, with applications to other areas of

Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatori

A clear and self-contained introduction to discrete mathematics for undergraduates and early graduates.

The format of this book is unique in that it combines features of a traditional text with those of a problem book. The material is presented through a series of

Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent d