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This monograph presents the work of the authors in metrical theory of continued fractions in the last two decades. The monograph cuts a particular path through this extensive theory and describes the theory in its current form for three families of continued fractions, namely, θ-continued fractions, N-continued fractions, and generalized Rényi continued fractions. The book systematically lays out the required preliminaries, making the book easy to read. This monograph provides a solid introduction into the theory of continued fractions.
The book is intended for researchers in metrical theory, as well as advanced graduate students and mathematicians interested in this field.
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Dan Lascu is a professor of mathematics at the Romanian Naval Academy.
Gabriela Ileana Sebe is a professor of mathematics at the National University of Science and Technology Politehnica and scientific researcher at "Gheorghe Mihoc-Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics( ISMMA) of the Romanian Academy.
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