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Continued Fractions: Analytic Theory and Applications de William B. Jones

Continued Fractions: Analytic Theory and Applications: Encyclopedia of Mathematics and its Applications, cartea 11

Autor William B. Jones, W. J. Thron
en Limba Engleză Paperback – 18 feb 2009
This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.
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Specificații

ISBN-13: 9780521101523
ISBN-10: 0521101522
Pagini: 460
Dimensiuni: 156 x 234 x 24 mm
Greutate: 0.64 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Encyclopedia of Mathematics and its Applications

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Recenzii

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

Descriere

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