METRIC NUMBER THEORY by Glyn Harman ( 9780198500834 ) - Books & Audio Books at Pickabook.co.uk

Item Details

Title:

METRIC NUMBER THEORY

By:

Glyn Harman

Format:

Hardback

List price:

£270.00

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£236.25

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12.5% off

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£33.75

ISBN 10:

0198500831

ISBN 13:

9780198500834

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Publisher:

OXFORD UNIVERSITY PRESS

Pub. date:

11 June, 1998

Series:

London Mathematical Society Monographs 18

Pages:

316

Description:

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.

Synopsis:

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.

Publication:

Imprint:

Clarendon Press

Returns:

Returnable

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