Analytic Theory Of Continued Fractions Ii
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Author | : Hubert Stanley Wall |
Publisher | : Courier Dover Publications |
Total Pages | : 449 |
Release | : 2018-05-16 |
Genre | : Mathematics |
ISBN | : 0486823695 |
Download Analytic Theory of Continued Fractions Book in PDF, Epub and Kindle
One of the most authoritative and comprehensive books on continued fractions, this monograph presents a unified theory correlating certain parts and applications of the subject within a larger analytic structure. 1948 edition.
Author | : Wolfgang J. Thron |
Publisher | : |
Total Pages | : 308 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662135945 |
Download Analytic Theory of Continued Fractions II Book in PDF, Epub and Kindle
Author | : Wolfgang J. Thron |
Publisher | : Springer |
Total Pages | : 324 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : |
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Author | : H.S. Wall |
Publisher | : |
Total Pages | : 446 |
Release | : 1943 |
Genre | : Continued fractions |
ISBN | : |
Download Analytic Theory of Continued Fractions Book in PDF, Epub and Kindle
Author | : W. B. Jones |
Publisher | : Springer |
Total Pages | : 250 |
Release | : 2006-11-17 |
Genre | : Mathematics |
ISBN | : 3540392769 |
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Author | : |
Publisher | : |
Total Pages | : |
Release | : 1982 |
Genre | : |
ISBN | : |
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Author | : Wolfgang J. Thron |
Publisher | : Springer |
Total Pages | : 305 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540388176 |
Download Analytic Theory of Continued Fractions II Book in PDF, Epub and Kindle
Author | : Wolfgang J. Thron |
Publisher | : Springer |
Total Pages | : 299 |
Release | : 2013-10-03 |
Genre | : Mathematics |
ISBN | : 9783662135952 |
Download Analytic Theory of Continued Fractions II Book in PDF, Epub and Kindle
Author | : Lisa Jacobsen |
Publisher | : |
Total Pages | : 156 |
Release | : 2014-09-01 |
Genre | : |
ISBN | : 9783662201992 |
Download Analytic Theory of Continued Fractions III Book in PDF, Epub and Kindle
Author | : M. Iosifescu |
Publisher | : Springer Science & Business Media |
Total Pages | : 408 |
Release | : 2002-09-30 |
Genre | : Mathematics |
ISBN | : 9781402008924 |
Download Metrical Theory of Continued Fractions Book in PDF, Epub and Kindle
The book is essentially based on recent work of the authors. In order to unify and generalize the results obtained so far, new concepts have been introduced, e.g., an infinite order chain representation of the continued fraction expansion of irrationals, the conditional measures associated with, and the extended random variables corresponding to that representation. Also, such procedures as singularization and insertion allow to obtain most of the continued fraction expansions related to the regular continued fraction expansion. The authors present and prove with full details for the first time in book form, the most recent developments in solving the celebrated 1812 Gauss' problem which originated the metrical theory of continued fractions. At the same time, they study exhaustively the Perron-Frobenius operator, which is of basic importance in this theory, on various Banach spaces including that of functions of bounded variation on the unit interval. The book is of interest to research workers and advanced Ph.D. students in probability theory, stochastic processes and number theory.