Continued fractions. Volume 1, Convergence theory [electronic resource]
- 作者： Lorentzen, Lisa.
- 其他作者：
- 其他題名：
- Convergence theory
- Atlantis studies in mathematics for engineering and science,
- 出版： Paris : Atlantis Press
- 版本：2nd ed.
- 叢書名： Atlantis studies in mathematics for engineering and science,v.1
- 主題： Continued fractions. , Convergence , Mathematics , Algebra
- ISBN： 9789491216374 (electronic bk.) 、 9789078677079 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005079701 | 機讀編目格式
館藏資訊
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.