The 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.
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.
The Uniform Distribution Of Sequences
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Author : Charles Vanden Eynden
language : en
Publisher:
Release Date : 1962
The Uniform Distribution Of Sequences written by Charles Vanden Eynden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Number theory categories.
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 And Quasi Monte Carlo Methods
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Author : Peter Kritzer
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-06-23
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 2014-06-23 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.
Digital Nets And Sequences
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Author : Josef Dick
language : en
Publisher: Cambridge University Press
Release Date : 2010-09-09
Digital Nets And Sequences written by Josef Dick and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-09 with Computers categories.
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.
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 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.