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

Integrates developments and related applications in $q$-series with a historical development of the field. This book develops important analytic topics (Bailey

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

One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a o