Continued Fractions: Analytic Theory and Applications - Brossura

Jones, William B.

Brossura

ISBN 10: 0521101522 ISBN 13: 9780521101523

Casa editrice: Cambridge University Press, 2009

Riassunto

This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.

Su questo libro

Recensione

Review of the hardback: 'The first comprehensive and self-contained exposition of the analytic theory of continued fractions in over twenty years'. American Mathematical Monthly

Contenuti

1. Introduction; 2. Elementary Properties of Continued Fractions; 3. Continued Fractions; 4. Convergence of Continued Fractions; 5. Methods for Representing Analytic Functions by Continued Fractions; 6. Representations of Analytic Functions by Continued Fractions; 7. Types of Corresponding Continued Fractions and Related Algorithms; 8. Truncation-Error Analysis; 9. Asymptotic Expansions and Moment Problems; 10. Numerical Stability in Evaluating Continued Fractions; 11. Application of Continued Fractions to Birth-Death Processes; 12. Miscellaneous Results.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0521101522
• ISBN 13: 9780521101523
• Rilegatura: Copertina flessibile
• Numero di pagine: 460
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia