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Sequences, Discrepancies and Applications

  • Book
  • © 1997

Overview

Authors:
  1. Michael Drmota
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  2. Robert F. Tichy
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1651)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Discrepancy of sequences

    • Michael Drmota, Robert F. Tichy
    Pages 1-203

  3. General concepts of uniform distribution

    • Michael Drmota, Robert F. Tichy
    Pages 204-367

  4. Applications

    • Michael Drmota, Robert F. Tichy
    Pages 368-432

  5. Back Matter

    Pages 433-505
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Sequences, Discrepancies and Applications

  • Authors: Michael Drmota, Robert F. Tichy

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093404

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-62606-0Published: 20 March 1997

  • eBook ISBN: 978-3-540-68333-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 506

  • Topics: Number Theory

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