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OverviewThis 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 denominator). Finally, the dimensions of some of the exceptional sets of measure zero are considered. Full Product DetailsAuthor: Glyn Harman (Professor of Pure Mathematics, Professor of Pure Mathematics, University of Wales, Cardiff)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 18 Dimensions: Width: 16.20cm , Height: 2.10cm , Length: 24.20cm Weight: 0.619kg ISBN: 9780198500834ISBN 10: 0198500831 Pages: 316 Publication Date: 11 June 1998 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsIntroduction 1: Normal numbers 2: Diophantine approximation 3: GCD sums with applications 4: Schmidt's method 5: Uniform distribution 6: Diophantine approximation with restricted numerator and denominator 7: Non-integer sequences 8: The integer parts of sequences 9: Diophantine approximation on manifolds 10: Hausdorff dimension of exceptional sets References IndexReviews...very interesting book... Peter Szusz, Zentralblatt MATH, Vol 1081 Author InformationProfessor G. Harman, School of Mathematics, Mathematics Institute, University of Wales Cardiff, Senghennydd Road, Cardiff, CF2 4YH, email: Harman@cf.ac.uk Tab Content 6Author Website:Countries AvailableAll regions |
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