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? This book is an accessible and lively introduction to the area of geometric discrepancy theory, with numerous exercises and illustrations. In separate, more specialized parts, it also provides a comprehensive guide to recent research.

The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory.

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.

The study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It starts as a traditional course in elementary number theory, and introduces the reader to subsequent material on uniform distribution of infinite sequences, and discrepancy of finite sequences. Both modern and classical aspects of the theory are discussed, such as Weyl's criterion, Benford's law, the Koksma–Hlawka inequality, lattice point problems, and irregularities of distribution for convex bodies. Fourier analysis also features prominently, for which the theory is developed in parallel, including topics such as convergence of Fourier series, one-sided trigonometric approximation, the Poisson summation formula, exponential sums, decay of Fourier transforms, and Bessel functions.

A study examines the harmful gap between the theory of restorative justice (RJ) and its application in programs in the U.S., Europe, and elsewhere. Data were obtained from four surveys of restorative justice practitioners, using a combination of qualitative methodologies, including questionnaire responses, interviews and focus groups.

Providing a comprehensive exploration of the major developments of social psychological theories that have taken place over the past half century, this innovative two-volume handbook is a state of the art overview of the primary theories and models that have been developed in this vast and fascinating field. Authored by leading international experts, each chapter represents a personal and historical narrative of the theory′s development including the inspirations, critical junctures, and problem-solving efforts that effected theoretical choices and determined the theory′s impact and its evolution. Unique to this handbook, these narratives provide a rich background for understanding how theories are created, nurtured, and shaped over time, and examining their unique contribution to the field as a whole. To examine its societal impact, each theory is evaluated in terms of its applicability to better understanding and solving critical social issues and problems.

This reader presents a collection of articles on the study of the self in social psychology. The readings are in thematic sections covering topics such as self-knowledge, self-esteem, self-regulation, self-presentation, and the self and culture.