Continued Fractions - Vol 1: Convergence Theory (2nd Edition)

Lisa Lorentzen

ISBN 10: 9078677074 / ISBN 13: 9789078677079

Editore: Atlantis Press / World Scientific Apr 2008, 2008

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Neuware - 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.

Codice articolo 9789078677079

Dati bibliografici

• Titolo: Continued Fractions - Vol 1: Convergence Theory (2nd Edition)
• Editore: Atlantis Press / World Scientific Apr 2008
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 9078677074
• ISBN 13: 9789078677079
• Rilegatura: Buch
• Edizione: seconda edizione
• Condizione: Neu
• Dimensioni: 255 L x 171 A x 25 P (millimetri) 255 millimetri di larghezza per 171 millimetri di altezza per 25 millimetri di profondità
• Peso: 697 grammi

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Riassunto

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.