Sequences, Discrepancies and Applications

Michael Drmota, Robert F. Tichy (Autoren)

Buch | Softcover

XIV, 506 Seiten

1997
Springer Berlin (Verlag)
978-3-540-62606-0 (ISBN)

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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. TOC:Contents: Discrepancy of Sequences.- General Concepts of Uniform Distribution.- Applications

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

Erscheint lt. Verlag	20.3.1997
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XIV, 506 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	762 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Analytic number theory • Dicrepancy • irregularities of distributgion • irregularities of distribution • Number Theory • random number generation • sequences • uniform distribution modulo 1 • Zahlentheorie
ISBN-10	3-540-62606-9 / 3540626069
ISBN-13	978-3-540-62606-0 / 9783540626060
Zustand	Neuware