Continued Fractions - Vol 1: Convergence Theory (2nd Edition) (Hardcover) (ISBN-13: 9789078677079)

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: Lisa Lorentzen,Haakon Waadeland
ISBN-10: 9078677074
ISBN-13: 9789078677079
Publisher: Atlantis Press / World Scientific
Language: English
Published: 04/29/2008
Pages: 320
Format: Hardcover
Weight: 1.55lbs
Size: 9.70h x 6.60w x 0.90d