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Record Nr. |
UNINA9910451287403321 |
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Autore |
Hensley Doug |
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Titolo |
Continued fractions [[electronic resource] /] / Doug Hensley |
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Pubbl/distr/stampa |
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Hackensack, N.J., : World Scientific, c2006 |
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ISBN |
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1-281-91963-2 |
9786611919634 |
981-277-468-8 |
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Descrizione fisica |
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1 online resource (xiii, 245 p. ) : ill |
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Disciplina |
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Soggetti |
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Continued fractions |
Series |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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# Generalizations of the gcd and the Euclidean Algorithm # Continued Fractions with Small Partial Quotients # Ergodic Theory # Complex Continued Fractions # Multidimensional Diophantine Approximation # Powers of an Algebraic Integer # Marshall Hall's Theorem # Functional-Analytic Techniques # The Generating Function Method # Conformal Iterated Function Systems # Convergence of Continued Fractions |
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Sommario/riassunto |
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This text places emphasis on continued fraction Cantor sets and the Hausdorff dimension, algorithms and analysis of algorithms, and multi-dimensional algorithms for simultaneous diophantine approximation. Various computer-generated graphics are presented, and the underlying algorithms are discussed. |
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