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Metric Number Theory (Hardcover, New)
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Metric Number Theory (Hardcover, New)
Series: London Mathematical Society Monographs, 18
Expected to ship within 12 - 17 working days
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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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