The goal of this monograph is to give an accessible introduction to nonstandard methods and
their applications with an emphasis on combinatorics and Ramsey theory. It includes both new
nonstandard proofs of classical results and recent developments initially obtained in the
nonstandard setting. This makes it the first combinatorics-focused account of nonstandard
methods to be aimed at a general (graduate-level) mathematical audience. This book will provide
a natural starting point for researchers interested in approaching the rapidly growing
literature on combinatorial results obtained via nonstandard methods. The primary audience
consists of graduate students and specialists in logic and combinatorics who wish to pursue
research at the interface between these areas.
