Uniform Distribution Of Sequences

Author : L. Kuipers
Publisher : Courier Corporation
ISBN 13 : 0486149994
Total Pages : 416 pages
Book Rating : 4.98/5 ( download)

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Download or read book Uniform Distribution of Sequences written by L. Kuipers and published by Courier Corporation. This book was released on 2012-05-24 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Lauwerens Kuipers
Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.12/5 ( download)

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Download or read book Uniform Distribution of Sequences written by Lauwerens Kuipers and published by . This book was released on 1974 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Oto Strauch
Publisher : Peter Lang Publishing
ISBN 13 :
Total Pages : 576 pages
Book Rating : 4.16/5 ( download)

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Download or read book Distribution of Sequences written by Oto Strauch and published by Peter Lang Publishing. This book was released on 2005 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : W. Narkiewicz
Publisher : Springer
ISBN 13 : 3540390634
Total Pages : 133 pages
Book Rating : 4.33/5 ( download)

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Download or read book Uniform Distribution of Sequences of Integers in Residue Classes written by W. Narkiewicz and published by Springer. This book was released on 2006-12-08 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michael Drmota
Publisher : Springer
ISBN 13 : 354068333X
Total Pages : 517 pages
Book Rating : 4.39/5 ( download)

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Download or read book Sequences, Discrepancies and Applications written by Michael Drmota and published by Springer. This book was released on 2006-11-14 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Wadysaw Narkiewicz
Publisher :
ISBN 13 : 9783662192191
Total Pages : 140 pages
Book Rating : 4.95/5 ( download)

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Download or read book Uniform Distribution of Sequences of Integers in Residue Classes written by Wadysaw Narkiewicz and published by . This book was released on 2014-01-15 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author :
Publisher :
ISBN 13 : 9780387138725
Total Pages : pages
Book Rating : 4.22/5 ( download)

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Download or read book Uniform distribution of sequences of integers in residue classes written by and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Edmund Hlawka
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.21/5 ( download)

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Download or read book The Theory of Uniform Distribution written by Edmund Hlawka and published by . This book was released on 1984 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Josef Dick
Publisher : Cambridge University Press
ISBN 13 : 1139490052
Total Pages : 619 pages
Book Rating : 4.54/5 ( download)

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Download or read book Digital Nets and Sequences written by Josef Dick and published by Cambridge University Press. This book was released on 2010-09-09 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Indispensable for students, invaluable for researchers, this comprehensive treatment of contemporary quasi–Monte Carlo methods, digital nets and sequences, and discrepancy theory starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research. As deterministic versions of the Monte Carlo method, quasi–Monte Carlo rules have increased in popularity, with many fruitful applications in mathematical practice. These rules require nodes with good uniform distribution properties, and digital nets and sequences in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel Hilbert spaces and weighted integration, duality theory for digital nets, polynomial lattice rules, the newest constructions by Niederreiter and Xing and many more. The authors present an accessible introduction to the subject based mainly on material taught in undergraduate courses with numerous examples, exercises and illustrations.

Author : Peter Kritzer
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110317931
Total Pages : 270 pages
Book Rating : 4.30/5 ( download)

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Download or read book Uniform Distribution and Quasi-Monte Carlo Methods written by Peter Kritzer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-06-23 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.