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 : 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 : Oto Strauch
Publisher :
ISBN 13 : 9788022417341
Total Pages : pages
Book Rating : 4.43/5 ( download)

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Download or read book Distribution of Sequences written by Oto Strauch and published by . This book was released on 2019 with total page 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 : 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 : Lauwerens Kuipers
Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.19/5 ( 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 1986 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Graham Everest
Publisher : American Mathematical Soc.
ISBN 13 : 1470423154
Total Pages : 338 pages
Book Rating : 4.55/5 ( download)

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Download or read book Recurrence Sequences written by Graham Everest and published by American Mathematical Soc.. This book was released on 2015-09-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.

Author : Charles Vanden Eynden
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.80/5 ( download)

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Download or read book The Uniform Distribution of Sequences written by Charles Vanden Eynden and published by . This book was released on 1962 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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: