Metric Number Theory
by
Glyn Harman
Book Details
Format
Hardback or Cased Book
Book Series
London Mathematical Society Monographs
ISBN-10
0198500831
ISBN-13
9780198500834
Publisher
Oxford University Press
Imprint
Oxford University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 11th, 1998
Print length
316 Pages
Weight
620 grams
Dimensions
23.80 x 16.40 x 2.30 cms
Product Classification:
Number theoryReal analysis, real variablesProbability & statistics
Ksh 56,350.00
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This book deals with the arithmetical properties of almost all real numbers. It brings together many different types of result (including normal numbers, Diophantine approximation and uniform distribution) never covered within the same volume before. By this approach interactions and common themes between different branches of the subject are revealed.
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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