§16§The monograph covers material scattered throughout books and journals and focuses on the distribution properties of sequences which may be expressed in terms of distribution function, upper and lower distribution function, the discrepancy, diaphony, dispersion etc. The individual character of sequences reflected in their distribution properties may be an object of study from various points of view, and as such they are often the primary goal of investigation. In that case the studied properties are caught in separate results and are consequently accessible in a displayed form. On the other hand, the various distribution properties of sequences play only a subsidiary role in proofs and thus remain often hidden and are not manifested in a visible form. The enormous wealth of information contained in both cases may be of value not only to those working directly in the field, but also to those working in related branches of number theory, combinatorics, real or numerical analysis in t §16§he process of finding sequence possessing the required properties. Last, but not least browsing throughout the book may provide the impetus for prospective further research. This is what we hope may address a wide class of working mathematicians. §04§Contents : Aspects of distribution properties of one-dimensional or multi-dimensional sequences - Sequences involving logarithmic functions, trigonometric functions, polynomials, sum-of-digits functions, integer part function, number-theoretic functions, primes, normal numbers, the van der Corput sequence, pseudorandom number generators - Properties of sequences: low discrepancy sequences, good lattice points, nets, lattice rules, completely uniformly distributed sequences, block sequences, circle sequences - Complete mathematical description of the sequences - Characterizations of currently known distribution properties - History, development, and open problems of referred to sequences. §13§"The volume is clearly indispensable for all scientists who work in the theory of uniform distribution or in related fields." (J. Schoissengeier, Monatshefte für Mathematik) §02§The Authors: Oto Strauch is a member of the research staff of Mathematical Institute of the Slovak Academy of Sciences since 1986. His research interests firstly focus on metric theory of diophantine approximations, he published some papers on so called Duffin-Schaeffer conjecture. Strauch's current field is the theory of uniform distribution and he has concentrated on distribution functions of sequences.§ Stefan Porubský is a full professor of mathematics at the Institute of Computer Science of the Czech Academy of Sciences in Prague and the author of several books and of more than 50 publications in number theory, combinatorics, commutative algebra, cryptology and history of mathematics. He spent 20 years at the Mathematical Institute of Slovak Academy of Sciences in Bratislava.
