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

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

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

Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions o