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Metric Number Theory by G. Harman, Glyn Harman

Metric Number Theory

by G. Harman , Glyn Harman
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Book cover type: Hardcover
  • ISBN13: 9780198500834
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: OUP Oxford
  • Publisher Imprint: OUP Oxford
  • Publication Date:
  • Pages: 316
  • Original Price: USD 380.0
  • Language: English
  • Edition: N/A
  • Item Weight: 617 grams
  • BISAC Subject(s): Number Theory

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.

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