This book presents the arithmetic and metrical theory of regular continued fractions and is intended to be a modern version of A. Ya. Khintchine's classic of the same title. Besides new and simpler proofs for many of the standard topics, numerous numerical examples and applications are included (the continued fraction of "e", Ostrowski representations and "t"expansions, period lengths of quadratic surds, the general Pell's equation, homogeneous and inhomogeneous diophantine approximation, Hall's theorem, the Lagrange and Markov spectra, asymmetric approximation, etc). Suitable for upper level undergraduate and beginning graduate students, the presentation is selfcontained and the metrical results are developed as strong laws of large numbers.
About A.M. Rockett
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Author  :  A.M. Rockett 
Publisher  :  World Scientific Publishing Co Pte Ltd 
Data Published  :  08 January 1992 
ISBN  :  9810210477 
EAN  :  9789810210472 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  200 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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