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{ "item_title" : "Metric Number Theory", "item_author" : [" G. Harman "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/0/19/850/083/0198500831_b.jpg", "price_data" : { "retail_price" : "380.00", "online_price" : "380.00", "our_price" : "380.00", "club_price" : "380.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Metric Number Theory|G. Harman

Metric Number Theory

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Overview

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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Details

  • ISBN-13: 9780198500834
  • ISBN-10: 0198500831
  • Publisher: Clarendon Press
  • Publish Date: August 1998
  • Dimensions: 9.21 x 6.14 x 0.75 inches
  • Shipping Weight: 1.36 pounds
  • Page Count: 316

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