Continued Fractions
This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.
Reviews & endorsements
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
Product details
No date availablePaperback
9780521101523
460 pages
234 × 156 × 24 mm
0.64kg
Table of Contents
- 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.