Generalized notions of continued fractions : ergodicity and number theoretic applications /
"There is no clear sense of when the continued fraction was originally conceived of. It is likely that one of the first authors who, indirectly, suggested this notion was Euclid (c. 300 BC) via his famous algorithm (the oldest nontrivial algorithm that has survived to the present day) in the se...
| Main Authors: | , , , |
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| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton, FL :
CRC Press,
2023
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| Edition: | First edition. |
| Series: | Monographs and research notes in mathematics.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | "There is no clear sense of when the continued fraction was originally conceived of. It is likely that one of the first authors who, indirectly, suggested this notion was Euclid (c. 300 BC) via his famous algorithm (the oldest nontrivial algorithm that has survived to the present day) in the seventh book of his Elements. Since then, Aryabhata, Fibonacci, Bombelli, Wallis, Huygens, and Euler have developed this theory, and it continues to evolve today, especially as a means of linking different areas of mathematics. This book, whose primary audience is graduate students and senior researchers, is motivated by the fascinating interrelations between ergodic theory and number theory (as established since the 1950s). It examines several generalizations and extensions of classical continued fractions, including generalized Lehner, simple, and Hirzebruch-Jung continued fractions"-- |
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| Item Description: | “A Chapman & Hall book” – front cover. |
| Physical Description: | 1 online resource (xi, 141 pages) : illustrations (some color). |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9781003404064 1003404065 9781000907582 1000907589 9781000907612 1000907619 |