Neverending fractions: an introduction to continued fractions
Despite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a wide audience, from researchers to students and even amateur enthusiasts. Neverending Fractions brings these results together, offering fresh perspectives on a matu...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2014
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| Schriftenreihe: | Australian Mathematical Society lecture series
23 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Despite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a wide audience, from researchers to students and even amateur enthusiasts. Neverending Fractions brings these results together, offering fresh perspectives on a mature subject. Beginning with a standard introduction to continued fractions, the book covers a diverse range of topics, from elementary and metric properties, to quadratic irrationals, to more exotic topics such as folded continued fractions and Somos sequences. Along the way, the authors reveal some amazing applications of the theory to seemingly unrelated problems in number theory. Previously scattered throughout the literature, these applications are brought together in this volume for the first time. A wide variety of exercises guide readers through the material, which will be especially helpful to readers using the book for self-study, and the authors also provide many pointers to the literature |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, 212 pages) |
| ISBN: | 9780511902659 |
| DOI: | 10.1017/CBO9780511902659 |
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| 520 | |a Despite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a wide audience, from researchers to students and even amateur enthusiasts. Neverending Fractions brings these results together, offering fresh perspectives on a mature subject. Beginning with a standard introduction to continued fractions, the book covers a diverse range of topics, from elementary and metric properties, to quadratic irrationals, to more exotic topics such as folded continued fractions and Somos sequences. Along the way, the authors reveal some amazing applications of the theory to seemingly unrelated problems in number theory. Previously scattered throughout the literature, these applications are brought together in this volume for the first time. A wide variety of exercises guide readers through the material, which will be especially helpful to readers using the book for self-study, and the authors also provide many pointers to the literature | ||
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| dewey-ones | 513 - Arithmetic |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511902659 |
| format | Electronic eBook |
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| id | DE-604.BV043940531 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9780511902659 |
| language | English |
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| series2 | Australian Mathematical Society lecture series |
| spelling | Borwein, Jonathan M. Verfasser aut Neverending fractions an introduction to continued fractions Jonathan Borwein, University of Newcastle, New South Wales, Alf van der Poorten, Macquarie University, Sydney, Jeffrey Shallit, University of Waterloo, Ontario, Wadim Zudilin, University of Newcastle, New South Wales Cambridge Cambridge University Press 2014 1 online resource (x, 212 pages) txt rdacontent c rdamedia cr rdacarrier Australian Mathematical Society lecture series 23 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Despite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a wide audience, from researchers to students and even amateur enthusiasts. Neverending Fractions brings these results together, offering fresh perspectives on a mature subject. Beginning with a standard introduction to continued fractions, the book covers a diverse range of topics, from elementary and metric properties, to quadratic irrationals, to more exotic topics such as folded continued fractions and Somos sequences. Along the way, the authors reveal some amazing applications of the theory to seemingly unrelated problems in number theory. Previously scattered throughout the literature, these applications are brought together in this volume for the first time. A wide variety of exercises guide readers through the material, which will be especially helpful to readers using the book for self-study, and the authors also provide many pointers to the literature Continued fractions Processes, Infinite Fractions Van Der Poorten, A. J. Sonstige oth Shallit, Jeffrey Outlaw Sonstige oth Zudilin, Wadim Sonstige oth Erscheint auch als Druckausgabe 978-0-521-18649-0 Erscheint auch als Druckausgabe 978-1-107-00665-2 https://doi.org/10.1017/CBO9780511902659 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Borwein, Jonathan M. Neverending fractions an introduction to continued fractions Continued fractions Processes, Infinite Fractions |
| title | Neverending fractions an introduction to continued fractions |
| title_auth | Neverending fractions an introduction to continued fractions |
| title_exact_search | Neverending fractions an introduction to continued fractions |
| title_full | Neverending fractions an introduction to continued fractions Jonathan Borwein, University of Newcastle, New South Wales, Alf van der Poorten, Macquarie University, Sydney, Jeffrey Shallit, University of Waterloo, Ontario, Wadim Zudilin, University of Newcastle, New South Wales |
| title_fullStr | Neverending fractions an introduction to continued fractions Jonathan Borwein, University of Newcastle, New South Wales, Alf van der Poorten, Macquarie University, Sydney, Jeffrey Shallit, University of Waterloo, Ontario, Wadim Zudilin, University of Newcastle, New South Wales |
| title_full_unstemmed | Neverending fractions an introduction to continued fractions Jonathan Borwein, University of Newcastle, New South Wales, Alf van der Poorten, Macquarie University, Sydney, Jeffrey Shallit, University of Waterloo, Ontario, Wadim Zudilin, University of Newcastle, New South Wales |
| title_short | Neverending fractions |
| title_sort | neverending fractions an introduction to continued fractions |
| title_sub | an introduction to continued fractions |
| topic | Continued fractions Processes, Infinite Fractions |
| topic_facet | Continued fractions Processes, Infinite Fractions |
| url | https://doi.org/10.1017/CBO9780511902659 |
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