Analytic Theory of Continued Fractions PDF Download
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Author: Hubert Stanley Wall
Publisher: Courier Dover Publications
ISBN: 0486823695
Category : Mathematics
Languages : en
Pages : 449
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Book Description
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: Hubert Stanley Wall
Publisher: Courier Dover Publications
ISBN: 0486823695
Category : Mathematics
Languages : en
Pages : 449
Get Book Here
Book Description
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:
ISBN: 9783662135945
Category :
Languages : en
Pages : 308
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Book Description
Author: Wolfgang J. Thron
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 324
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Book Description
Author: H.S. Wall
Publisher:
ISBN:
Category : Continued fractions
Languages : en
Pages : 446
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Book Description
Author: W. B. Jones
Publisher: Springer
ISBN: 3540392769
Category : Mathematics
Languages : en
Pages : 250
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Wolfgang J. Thron
Publisher: Springer
ISBN: 3540388176
Category : Mathematics
Languages : en
Pages : 305
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Book Description
Author: Wolfgang J. Thron
Publisher: Springer
ISBN: 9783662135952
Category : Mathematics
Languages : en
Pages : 299
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Book Description
Author: Lisa Jacobsen
Publisher:
ISBN: 9783662201992
Category :
Languages : en
Pages : 156
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Book Description
Author: M. Iosifescu
Publisher: Springer Science & Business Media
ISBN: 9781402008924
Category : Mathematics
Languages : en
Pages : 408
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Book Description
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.
