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Table of contents (4 chapters)
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About this book
Reviews
From the reviews:
"The authors present and prove 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." (Cryssoula Ganatsiou, Zentralblatt MATH, Vol. 1069 (20), 2005)
"While many excellent books on continued fractions are written, it is rare to see a book exclusively devoted to the material theory of these objects. … In addition to filling a hole in the mathematical literature, it does this very thoroughly. It gets around most topics related to the metrical theory of continued fractions … . The book is well suited for researchers and advanced graduate students working in functional analysis, probability and/or ergodic theory wishing to learn about the world of continued fractions." (Simon Kristensen, Zentralblatt MATH, Vol. 1122 (24), 2007)
Authors and Affiliations
Bibliographic Information
Book Title: Metrical Theory of Continued Fractions
Authors: Marius Iosifescu, Cor Kraaikamp
Series Title: Mathematics and Its Applications
DOI: https://doi.org/10.1007/978-94-015-9940-5
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media B.V. 2002
Hardcover ISBN: 978-1-4020-0892-4Published: 30 September 2002
Softcover ISBN: 978-90-481-6130-0Published: 09 December 2010
eBook ISBN: 978-94-015-9940-5Published: 29 June 2013
Edition Number: 1
Number of Pages: XIX, 383
Topics: Probability Theory and Stochastic Processes, Number Theory, Operator Theory, Computational Mathematics and Numerical Analysis