Metric Number Theory (Hardcover) (ISBN-13: 9780198500834)

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.

Author: G. Harman,Glyn Harman
ISBN-10: 0198500831
ISBN-13: 9780198500834
Publisher: OUP Oxford
Language: English
Published: 08/13/1998
Pages: 316
Format: Hardcover
Weight: 1.36lbs
Size: 9.21h x 6.14w x 0.75d