| Metric Number Theory Contributor(s): Harman, Glyn (Author) |
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ISBN: 0198500831 ISBN-13: 9780198500834 Publisher: Clarendon Press OUR PRICE: $327.75 Product Type: Hardcover Published: August 1998 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Probability & Statistics - General |
| Dewey: 512.7 |
| LCCN: 97051940 |
| Physical Information: 0.75" H x 6.14" W x 9.21" (1.36 lbs) 316 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |