Continued fractions / Doug Hensley.

Format:

Book

Author/Creator:

Hensley, Doug.

Language:

English

Subjects (All):

Continued fractions.

Series.

Physical Description:

1 online resource (xiii, 245 p. ) ill.

Edition:

1st ed.

Place of Publication:

Hackensack, N.J. : World Scientific, c2006.

Language Note:

English

Summary:

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.

Contents:

# 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

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

9786611919634

9781281919632

1281919632

9789812774682

9812774688

OCLC:

879025458