Continued fractions

Continued fractions

by Lorentzen, Lisa

Type Book
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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 f…

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Title Statements

  • Full title :Continued fractions. / Lisa Lorentzen, Haakon Waadeland.

Summary

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.

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Edition Statements

  • Publication Date:©2008
  • Edition:Second edition

Publication Statements

  • Publisher(s):Atlantis Press
  • Place of Publication:Amsterdam
  • Language:eng
  • Publication Date:©2008

The Physical Object

  • Description:1 online resource (320 pages).

Edition Identifiers

  • ISBN:9789491216374, 9491216376
  • oclc:ocn811501724
  • LC Classification:QA295
  • Dewey Decimal:515.243

Table of Contents

Introductory examples -- Basics -- Convergence criteria -- Periodic and limit periodic continued fractions -- Numerical computation of continued fractions.

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Subjects

Continued fractions Convergence Convergence (mathématiques) Fractions continues MATHEMATICS -- Calculus Mathematics -- Mathematical Analysis

Writers

Lorentzen, Lisa Lorentzen, Lisa Waadeland, Haakon

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