The main purpose of this book is to give an overview of the
developments during the last 20 years in the theory of uniformly
distributed sequences. The authors focus on various aspects such as
special sequences, metric theory, geometric concepts of
discrepancy, irregularities of distribution, continuous uniform
distribution and uniform distribution in discrete spaces. Specific
applications are presented in detail: numerical integration,
spherical designs, random number generation and mathematical
finance. Furthermore over 1000 references are collected and
discussed. While written in the style of a research monograph, the
book is readable with basic knowledge in analysis, number theory
and measure theory.
General
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