Continued Fractions : Convergence Theory /
By: Lorentzen, Lisa [author.].
Contributor(s): Waadeland, Haakon [author.] | SpringerLink (Online service).
Material type:
BookSeries: Atlantis Studies in Mathematics for Engineering and Science: 1Publisher: Paris : Atlantis Press, 2008.Edition: 2.Description: VII, 308p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789491216374.Subject(s): Mathematics | Algebra | Mathematics | AlgebraDDC classification: 512 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBK10494 |
Introductory examples -- Basics -- Convergence criteria -- Periodic and limit periodic continued fractions -- Numerical computation of continued fractions.
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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