- "The Book of Infinite Series" (2005): This book provides an introduction to the theory of infinite series, covering topics such as convergence, divergence, and absolute convergence. It also includes a discussion of applications of infinite series in various fields of mathematics.
- "Combinatorial Number Theory" (2008): This book introduces combinatorial number theory, which is the study of the interaction between combinatorics and number theory. It covers topics such as generating functions, partitions, and q-series.
- "Elementary Number Theory: A Computational Approach" (2009): This book provides an introduction to number theory for undergraduate students, emphasizing computational methods. It covers topics such as divisibility, primality testing, and congruences.
- "Number Theory: An Introduction to the World of Numbers" (2014): This book offers a comprehensive introduction to number theory, covering various topics such as divisibility, primality, Diophantine equations, and transcendental numbers. It is intended for advanced undergraduate students and researchers in number theory.
- "Topics in Elementary Number Theory" (2021): This textbook introduces elementary number theory to undergraduate students. It covers topics such as divisibility, congruence, and Diophantine equations.
In addition to these books, van den Berk has also written numerous research articles and papers on various topics in mathematics, including number theory, combinatorics, and graph theory.