Uniform Distribution of Sequences - Brossura

Kuipers, Lauwerens; Niederreiter, H.

 
9780486450193: Uniform Distribution of Sequences

Sinossi

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.

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Product Description

The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916 and ultimately provided 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 methods as well as their underlying principles. 1974 edition.

Contenuti

1. Uniform Distribution Mod 1 2. Discrepancy 3. Uniform Distribution in Compact Spaces 4. Uniform Distribution in Topological Groups 5. Sequences of Integers and Polynomials Bibliography List of Symbols and Abbreviations Author Index Subject Index

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Altre edizioni note dello stesso titolo

9780471510451: Uniform Distribution of Sequences

Edizione in evidenza

ISBN 10:  0471510459 ISBN 13:  9780471510451
Casa editrice: John Wiley & Sons Inc, 1974
Brossura