This is the first work on Discrepancy Theory to show the present variety of points of view and
applications covering the areas Classical and Geometric Discrepancy Theory Combinatorial
Discrepancy Theory and Applications and Constructions. It consists of several chapters written
by experts in their respective fields and focusing on the different aspects of the theory.
Discrepancy theory concerns the problem of replacing a continuous object with a discrete
sampling and is currently located at the crossroads of number theory combinatorics Fourier
analysis algorithms and complexity probability theory and numerical analysis. This book
presents an invitation to researchers and students to explore the different methods and is
meant to motivate interdisciplinary research.