Oto Strauch Bücher

The present monograph focuses on the distribution properties of a sequence. This distribution we shall identify with the set of all distribution functions of a such sequence. The importance of this set is resulting from the fact that most properties of a sequence expressed in terms of limiting processes may be characterized by using this set. Part of the results listed in this book were presented at the conferences in Vienna 1996, Graz 1998, Marseilles 2008, Strobl 2010, Smolenice 2012, Ostravice 2014, Sopron 2016 and in author’s Unsolved Problems published in 2013. This book is also a supplement of the previous monograph of the author and Š. Porubský, Distribution of Sequences: A Sampler, Peter Lang, 2005, which is an encyclopedia of sequences but it does not contain proofs of theorems which are contained in the present book. Oto Strauch is a member of the research staff of Mathematical Institute of the Slovak Academy of Sciences since 1986. His current field of interest is the theory of optimization with the emphasis on the theory of distribution functions of sequences. He is also one of the founders of the Uniform Distribution Theory journal, published by BOKU (Vienna) and MI SAS (Bratislava) and printed by VEDA SAV.

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 the 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.

Matematiku 20. storočia formovali na Slovensku viaceré významné osobnosti, medzi ne bezpochyby patrí aj prof. RNDr. Tibor Šalát, DrSc. (1926 – 2005). V tejto knihe opisujeme jeho život a dielo. Študoval na Karlovej univerzite v Prahe a takmer 50 rokov pracoval na Katedre algebry a teórie čísel Fakulty matematiky, fyziky a informatiky Univerzity Komenského v Bratislave. V prvej, odbornej časti chceme pripomenúť prínos Tibora Šaláta k rozvoju matematiky na Slovensku nielen z hľadiska vedeckého, ale aj z hľadiska pedagogického. V druhej časti ho v spomienkach rodiny, priateľov, spolupracovníkov či žiakov predstavíme ako človeka, učiteľa, kolegu a priateľa. Epilógom publikácie je samostatná kapitola s názvom Tibor Šalát a jeho doba, v ktorej autor, prof. RNDr. Štefan Porubský, DrSc., podrobne opisuje obdobie štúdií T. Šaláta na Karlovej univerzite. Približuje tiež začiatky jeho pôsobenia na UK v Bratislave, jeho postupný profesijný rast a bohatú organizačnú činnosť. Dúfame, že vás knižka zaujme a nájde si čitateľov aj v radoch učiteľov matematiky, ktorým T. Šalát venoval veľkú časť svojho pracovného úsilia.