Sequences, Discrepancies and Applications
Drmota, Michael.
Sequences, Discrepancies and Applications [electronic resource] / by Michael Drmota, Robert F. Tichy. - XIV, 506 p. online resource. - Lecture Notes in Mathematics, 1651 0075-8434 ; . - Lecture Notes in Mathematics, 1651 .
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.
9783540683339
10.1007/BFb0093404 doi
Number theory.
Number Theory.
QA241-247.5
512.7
Sequences, Discrepancies and Applications [electronic resource] / by Michael Drmota, Robert F. Tichy. - XIV, 506 p. online resource. - Lecture Notes in Mathematics, 1651 0075-8434 ; . - Lecture Notes in Mathematics, 1651 .
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.
9783540683339
10.1007/BFb0093404 doi
Number theory.
Number Theory.
QA241-247.5
512.7