© 1997

Sequences, Discrepancies and Applications

  • Authors

Part of the Lecture Notes in Mathematics book series (LNM, volume 1651)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Michael Drmota, Robert F. Tichy
    Pages 1-203
  3. Michael Drmota, Robert F. Tichy
    Pages 204-367
  4. Michael Drmota, Robert F. Tichy
    Pages 368-432
  5. Back Matter
    Pages 433-505

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.


Analytic number theory Dicrepancy irregularities of distributgion irregularities of distribution number theory random number generation sequences uniform distribution modulo 1

Bibliographic information

  • Book Title Sequences, Discrepancies and Applications
  • Authors Michael Drmota
    Robert F. Tichy
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-62606-0
  • eBook ISBN 978-3-540-68333-9
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages XIV, 506
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Number Theory
  • Buy this book on publisher's site
Industry Sectors
Finance, Business & Banking