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Metric Number Theory on Hardback by Glyn Harman
Metric Number Theory on Hardback by Glyn Harman
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Metric Number Theory

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Description

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.

Author Biography:

Professor G. Harman, School of Mathematics, Mathematics Institute, University of Wales Cardiff, Senghennydd Road, Cardiff, CF2 4YH, email: Harman@cf.ac.uk
Release date NZ
June 11th, 1998
Author
Audience
  • Professional & Vocational
Pages
316
Dimensions
162x242x21
ISBN-13
9780198500834
Product ID
2247253

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