02303nam 2200577Ia 450 991077730340332120230828231054.01-281-91963-29786611919634981-277-468-8(CKB)1000000000412035(StDuBDS)AH24684541(SSID)ssj0000129958(PQKBManifestationID)11134184(PQKBTitleCode)TC0000129958(PQKBWorkID)10081071(PQKB)11559750(MiAaPQ)EBC1681535(WSP)00005931(Au-PeEL)EBL1681535(CaPaEBR)ebr10201161(CaONFJC)MIL191963(OCoLC)879025458(EXLCZ)99100000000041203520060711d2006 uy 0engur|||||||||||txtccrContinued fractions[electronic resource] /Doug HensleyHackensack, N.J. World Scientificc20061 online resource (xiii, 245 p. ) illBibliographic Level Mode of Issuance: Monograph981-256-477-2 Includes bibliographical references and index.# 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 FractionsThis 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.Continued fractionsSeriesContinued fractions.Series.512.72Hensley Doug1482418MiAaPQMiAaPQMiAaPQBOOK9910777303403321Continued fractions3700004UNINA