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Metric Number Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Glyn Harman 作者

Oxford University Press, USA

译者

1998-8-13 出版日期

320 页数

USD 275.00 价格

Hardcover

丛书系列

9780198500834 图书编码

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Metric Number Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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This book deals with the number-theoretic properties of almost all real numbers. It brings together many different types of result never covered within the same volume before, thus showing interactions and common ideas between different branches of the subject. It provides an indispensable compendium of basic results, important theorems and open problems. Starting from the classical results of Borel, Khintchine and Weyl, normal numbers, Diophantine approximation and uniform distribution are all discussed. Questions are generalized to higher dimensions and various non-periodic problems are also considered (for example restricting approximation to fractions with prime numerator and denominator). Finally, the dimensions of some of the exceptional sets of measure zero are considered.

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