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

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

Aimed at graduate students and researchers in enumerative combinatorics, this book is the first to treat the analytic aspects of combinatorial enumeration from

Introduces the theory of multivariate generating functions, with new exercises, computational examples, and a conceptual overview chapter.

​The book shows that the analytic combinatorics (AC) method encodes the combinatorial problems of multiple object tracking—without information loss—into t