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Metric Number Theory

Metric Number Theory

Hardcover

Series: London Mathematical Society Monographs, Book 18

General MathematicsProbability & Statistics

ISBN10: 0198500831
ISBN13: 9780198500834
Publisher: Clarendon Press
Published: Aug 13 1998
Pages: 316
Weight: 1.36
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
This book examines the number-theoretic properties of the real numbers. It collects a variety of new ideas and develops connections between different branches of mathematics. An indispensable compendium of basic results, the text also includes important theorems and open problems. The book begins with the classical results of Borel, Khintchine, and Weyl, and then proceeds to Diophantine approximation, GCD sums, Schmidt's method, and uniform distribution. Other topics include generalizations to higher dimensions and various non-periodic problems (for example, restricting approximation to fractions with prime numerator and denominator). It concludes with a chapter on Hausdorf dimensions for exceptional sets of measure zero.

Also from

Harman, G.

Also in

General Mathematics