  In this survey paper we discuss some tools and methods which are of use in
quasi-Monte Carlo (QMC) theory. We group them in chapters on Numerical
Analysis, Harmonic Analysis, Algebra and Number Theory, and Probability Theory.
We do not provide a comprehensive survey of all tools, but focus on a few of
them, including reproducing and covariance kernels, Littlewood-Paley theory,
Riesz products, Minkowski's fundamental theorem, exponential sums, diophantine
approximation, Hoeffding's inequality and empirical processes, as well as other
tools. We illustrate the use of these methods in QMC using examples.
