Geometric Discrepancy: An Illustrated Guide (Algorithms and Combinatorics, 18)

Geometric Discrepancy: An Illustrated Guide (Algorithms and Combinatorics, 18)
What is the "most uniform" way of distributing n points in the unit square? How big is the "irregularity" necessarily present in any such distribution? Such questions are treated in geometric discrepancy theory. The book is an accessible and lively introduction to this area, with numerous exercises and illustrations. In separate, more specialized parts, it also provides a comprehensive guide to recent research. Including a wide variety of mathematical techniques (from harmonic analysis, combinatorics, algebra etc.)