Metric Number Theory

Name: Metric Number Theory
Price: 277.07 USD
Availability: InStock
ISBN: 9780198500834

ISBN-10: 0198500831

ISBN-13: 9780198500834

Edition: 1998

Authors: Glyn Harman

List price: $345.00

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This book deals with the number-theoretic properties of almost all real numbers. It brings together many different types of result never covered within the same volume before, thus showing interactions and common ideas between different branches of the subject. It provides an indispensable compendium of basic results, important theorems and open problems. Starting from the classical results of Borel, Khintchine and Weyl, normal numbers, Diophantine approximation and uniform distribution are all discussed. Questions are generalized to higher dimensions and various non-periodic problems are also considered (for example restricting approximation to fractions with prime numerator and…

Book details

List price: $345.00
Copyright year: 1998
Publisher: Oxford University Press, Incorporated
Publication date: 8/13/1998
Binding: Hardcover
Pages: 316
Size: 6.14" wide x 9.21" long x 0.83" tall
Weight: 1.320
Language: English



Introduction



Normal numbers



Diophantine approximation



GCD sums with applications



Schmidt's method



Uniform distribution



Diophantine approximation with restricted numerator and denominator



Non-integer sequences



The integer parts of sequences



Diophantine approximation on manifolds



Hausdorff dimension of exceptional sets


References


Index