Uniform Distribution Of Sequences
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Uniform Distribution Of Sequences
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Author : L. Kuipers
language : en
Publisher: Courier Corporation
Release Date : 2012-05-24
Uniform Distribution Of Sequences written by L. Kuipers and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-24 with Mathematics categories.
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 Of Integers In Residue Classes
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Author : W. Narkiewicz
language : en
Publisher: Springer
Release Date : 2006-12-08
Uniform Distribution Of Sequences Of Integers In Residue Classes written by W. Narkiewicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
Distribution Of Sequences
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Author : Oto Strauch
language : en
Publisher: Peter Lang Publishing
Release Date : 2005
Distribution Of Sequences written by Oto Strauch and has been published by Peter Lang Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
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.
Uniform Distribution Of Sequences
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Author : Lauwerens Kuipers
language : en
Publisher:
Release Date : 1974
Uniform Distribution Of Sequences written by Lauwerens Kuipers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Sequences Discrepancies And Applications
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Author : Michael Drmota
language : en
Publisher: Springer
Release Date : 2006-11-14
Sequences Discrepancies And Applications written by Michael Drmota and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
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
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Author :
language : en
Publisher:
Release Date : 1984
Uniform Distribution Of Sequences Of Integers In Residue Classes written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Uniform Distribution Of Sequences Of Integers In Residue Classes
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Author : Wadysaw Narkiewicz
language : en
Publisher:
Release Date : 2014-01-15
Uniform Distribution Of Sequences Of Integers In Residue Classes written by Wadysaw Narkiewicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
The Theory Of Uniform Distribution
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Author : Edmund Hlawka
language : en
Publisher:
Release Date : 1984
The Theory Of Uniform Distribution written by Edmund Hlawka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Distribution, Uniform (Probability theory). categories.
Distribution Of Sequences
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Author : Oto Strauch
language : en
Publisher:
Release Date : 2019
Distribution Of Sequences written by Oto Strauch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Uniform Distribution And Quasi Monte Carlo Methods
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Author : Peter Kritzer
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-08-19
Uniform Distribution And Quasi Monte Carlo Methods written by Peter Kritzer and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-19 with Mathematics categories.
This book is summarizing the results of the workshop "Uniform Distribution and Quasi-Monte Carlo Methods" of the RICAM Special Semester on "Applications of Algebra and Number Theory" in October 2013. The survey articles in this book focus on number theoretic point constructions, uniform distribution theory, and quasi-Monte Carlo methods. As deterministic versions of the Monte Carlo method, quasi-Monte Carlo rules enjoy increasing popularity, with many fruitful applications in mathematical practice, as for example in finance, computer graphics, and biology. The goal of this book is to give an overview of recent developments in uniform distribution theory, quasi-Monte Carlo methods, and their applications, presented by leading experts in these vivid fields of research.