Based on a capstone course that the author taught to upper division undergraduate students with the goal to explain and visualize the connections between differ

The goal of this monograph is to give an accessible introduction to nonstandard methods and their applications, with an emphasis on combinatorics and Ramsey the

Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on proble

Paul Turán, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Scien

This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of