Combinatorics

Analytic Combinatorics

Analytic Combinatorics

Analytic Combinatorics covers the mathematics underlying the analysis of discrete structures, with thorough treatment of a large number of applications.

generatingfunctionology

generatingfunctionology

You can download “generatingfunctionology” by Herbert S. Wilf in pdf format free of charge. The generatingfunctionology is one of the best mathematics books ever written. Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis.

Directions in Infinite Graph Theory and Combinatorics

This free online book consists of invited surveys of various fields of infinite graph theory and combinatorics, as well as a few research articles. It aims to give some indication of the variety of problems and methods found in this area, but also to help identify what may be seen as its typical features, placing it somewhere between finite graph theory on the one hand and logic and set theory on the other.