In combinatorics, one often considers the process of enumerating objects of a certain nature, which results in a sequence of positive integers. With each such s

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

Now with solutions to selected problems, Applied Combinatorics, Second Edition presents the tools of combinatorics from an applied point of view. This bestselli

This textbook introduces enumerative combinatorics through the framework of formal languages and bijections. By starting with elementary operations on words and

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham the