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OverviewContinued 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. Full Product DetailsAuthor: Lisa Lorentzen (Norwegian Univ Of Science & Technology, Norway) , Haakon Waadeland (Norwegian Univ Of Science & Technology, Norway)Publisher: Atlantis Press Imprint: Atlantis Press Edition: 2nd Revised edition Volume: 1 Dimensions: Width: 16.80cm , Height: 2.30cm , Length: 24.60cm Weight: 0.703kg ISBN: 9789078677079ISBN 10: 9078677074 Pages: 320 Publication Date: 29 April 2008 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Awaiting stock  The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of ContentsIntroductory Examples; Basics; Convergence Criteria; Periodic and Limit Periodic Continued Fractions; Numerical Computation of Continued Fractions, Some Continued Fraction Expansions.ReviewsThe authors are leaders in the field, and have a long and productive history working with continued fractions. Indeed, many modern advances in analytic theory of continued fractions can be attributed to their work. The authors are therefore able to bring a deep and rich background to the subject ]] The book is nicely written and a pleasure to read. -- Phil Gustafson Professor of Mathematics "The authors are leaders in the field, and have a long and productive history working with continued fractions. Indeed, many modern advances in analytic theory of continued fractions can be attributed to their work. The authors are therefore able to bring a deep and rich background to the subject ]] The book is nicely written and a pleasure to read. -- Phil Gustafson ""Professor of Mathematics""" Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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