Sequences, Discrepancies and Applications [electronic resource] / by Michael Drmota, Robert F. Tichy.

By:

Drmota, Michael [author.]

Contributor(s):

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1651Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997Description: XIV, 506 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540683339

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

512.7 23

LOC classification:

QA241-247.5

Online resources:

Click here to access online

Contents:

Discrepancy of sequences -- General concepts of uniform distribution -- Applications.

In: Springer eBooksSummary: 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.

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Discrepancy of sequences -- General concepts of uniform distribution -- Applications.

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.

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