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Author : Frances D'Ann Fuquay
Release : 1974
Genre : Continued fractions
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Soʹs Geometry of Continued Fractions by : Frances D'Ann Fuquay
Download or read book The Soʹs Geometry of Continued Fractions written by Frances D'Ann Fuquay. This book was released on 1974. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. M. Rockett
Release : 1992-08-01
Genre : Mathematics
Kind : eBook
Book Rating : 526/5 ( reviews)
Book Synopsis Continued Fractions by : A. M. Rockett
Download or read book Continued Fractions written by A. M. Rockett. This book was released on 1992-08-01. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the arithmetic and metrical theory of regular continued fractions and is intended to be a modern version of A. Ya. Khintchine's classic of the same title. Besides new and simpler proofs for many of the standard topics, numerous numerical examples and applications are included (the continued fraction of e, Ostrowski representations and t-expansions, period lengths of quadratic surds, the general Pell's equation, homogeneous and inhomogeneous diophantine approximation, Hall's theorem, the Lagrange and Markov spectra, asymmetric approximation, etc). Suitable for upper level undergraduate and beginning graduate students, the presentation is self-contained and the metrical results are developed as strong laws of large numbers.
Author : Haakon Waadeland
Release : 2008-04-01
Genre : Mathematics
Kind : eBook
Book Rating : 376/5 ( reviews)
Book Synopsis CONTINUED FRACTIONS by : Haakon Waadeland
Download or read book CONTINUED FRACTIONS written by Haakon Waadeland. This book was released on 2008-04-01. Available in PDF, EPUB and Kindle. Book excerpt: Continued Fractions consists of two volumes — Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011. Volume 1 is dedicated to the convergence and computation of continued fractions, while Volume 2 will treat representations of meromorphic functions by continued fractions. Taken together, the two volumes will present the basic continued fractions theory without requiring too much previous knowledge; some basic knowledge of complex functions will suffice. Both new and advanced graduate students of continued fractions shall get a comprehensive understanding of how these infinite structures work in a number of applications, and why they work so well. A varied buffet of possible applications to whet the appetite is presented first, before the more basic but modernized theory is given. This new edition is the result of an increasing interest in computing special functions by means of continued fractions. The methods described in detail are, in many cases, very simple, yet reliable and efficient.
Author : L. Lorentzen
Release : 1992-11-08
Genre : Computers
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Continued Fractions with Applications by : L. Lorentzen
Download or read book Continued Fractions with Applications written by L. Lorentzen. This book was released on 1992-11-08. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who would like an extensive introduction to the analytic theory of continued fractions. The book contains several recent results and new angles of approach and thus should be of interest to researchers throughout the field. The first five chapters contain an introduction to the basic theory, while the last seven chapters present a variety of applications. Finally, an appendix presents a large number of special continued fraction expansions. This very readable book also contains many valuable examples and problems.
Author : S. Clement Cooper
Release : 2020-12-17
Genre : Mathematics
Kind : eBook
Book Rating : 149/5 ( reviews)
Book Synopsis Continued Fractions and Orthogonal Functions by : S. Clement Cooper
Download or read book Continued Fractions and Orthogonal Functions written by S. Clement Cooper. This book was released on 2020-12-17. Available in PDF, EPUB and Kindle. Book excerpt: This reference - the proceedings of a research conference held in Loen, Norway - contains information on the analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions. Uniting the research efforts of many international experts, this volume: treats strong moment problems, orthogonal polynomials and Laurent polynomials; analyses sequences of linear fractional transformations; presents convergence results, including truncation error bounds; considers discrete distributions and limit functions arising from indeterminate moment problems; discusses Szego polynomials and their applications to frequency analysis; describes the quadrature formula arising from q-starlike functions; and covers continued fractional representations for functions related to the gamma function.;This resource is intended for mathematical and numerical analysts; applied mathematicians; physicists; chemists; engineers; and upper-level undergraduate and agraduate students in these disciplines.
