1.

Record Nr.

UNINA9910146284303321

Autore

Drmota Michael <1957->

Titolo

Sequences, Discrepancies and Applications / / by Michael Drmota, Robert F. Tichy

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1997

ISBN

3-540-68333-X

Edizione

[1st ed. 1997.]

Descrizione fisica

1 online resource (XIV, 506 p.)

Collana

Lecture Notes in Mathematics, , 1617-9692 ; ; 1651

Disciplina

510

Soggetti

Number theory

Number Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (pages [433]-497) and index.

Nota di contenuto

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

Sommario/riassunto

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.