Generatingfunctionology provides information pertinent to generating functions and some of their uses in discrete mathematics. This book presents the power of t

This is the Second Edition of the highly successful introduction to the use of generating functions and series in combinatorial mathematics. This new edition in

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

This book explores the interplay between the two main currents of mathematics, the continuous and the discrete.

Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping