Uniform Distribution of Sequences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Uniform Distribution of Sequences write by L. Kuipers. This book was released on 2012-05-24. Uniform Distribution of Sequences available in PDF, EPUB and Kindle. The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from its beginnings to the mid-1970s, with comprehensive coverage of both methods and their underlying principles. A practical introduction for students of number theory and analysis as well as a reference for researchers in the field, this book covers uniform distribution in compact spaces and in topological groups, in addition to examinations of sequences of integers and polynomials. Notes at the end of each section contain pertinent bibliographical references and a brief survey of additional results. Exercises range from simple applications of theorems to proofs of propositions that expand upon results stated in the text.
Uniform Distribution of Sequences
Uniform Distribution of Sequences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Uniform Distribution of Sequences write by Lauwerens Kuipers. This book was released on 1986. Uniform Distribution of Sequences available in PDF, EPUB and Kindle.
Sequences, Discrepancies and Applications
Sequences, Discrepancies and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sequences, Discrepancies and Applications write by Michael Drmota. This book was released on 2006-11-14. Sequences, Discrepancies and Applications available in PDF, EPUB and Kindle. The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory.
Uniform Distribution of Sequences of Integers in Residue Classes
Uniform Distribution of Sequences of Integers in Residue Classes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Uniform Distribution of Sequences of Integers in Residue Classes write by W. Narkiewicz. This book was released on 2006-12-08. Uniform Distribution of Sequences of Integers in Residue Classes available in PDF, EPUB and Kindle.
Distribution of Sequences
Distribution of Sequences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Distribution of Sequences write by Oto Strauch. This book was released on 2005. Distribution of Sequences available in PDF, EPUB and Kindle. 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.
