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Sequences, Discrepancies and Applications
Michael DrmotaRobert F. Tichy
出版Springer, 2006-11-14
主題Mathematics / Number TheoryMathematics / Algebra / General
ISBN354068333X9783540683339
URLhttp://books.google.com.hk/books?id=pxR8CwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.