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Continued Fractions Vol 1 Convergence Theory 2nd Edition Lisa Lorentzen, Haakon Waadeland ISBN 9078677074 9789078677079

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Continued Fractions Volume 1 Convergence Theory 2nd Edition Lisa Lorentzen Digital Instant Download

Author(s): Lisa Lorentzen, Haakon Waadeland
ISBN(s): 9789078677079, 9078677074
Edition: 2
File Details: PDF, 2.29 MB
Year: 2008
Language: english
SKU: EB-2519090 Category: Tags: ,

Continued Fractions Vol 1: Convergence Theory 2nd Edition Lisa Lorentzen, Haakon Waadeland – Ebook PDF Instant Download/Delivery: 9078677074, 978-9078677079

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Product details:

ISBN 10: 9078677074

ISBN 13: 978-9078677079

Author:  Lisa Lorentzen, Haakon Waadeland 

Continued Fractions Vol 1: Convergence Theory 2nd Edition: 

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.

 

Continued Fractions Vol 1: Convergence Theory 2nd Edition Table of contents:

  • Introductory Examples
  • Basics
  • Convergence Criteria
  • Periodic and Limit Periodic Continued Fractions
  • Numerical Computation of Continued Fractions
  • Some Continued Fraction Expansions

 

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