This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.
Rezensionen / Stimmen
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
Reihe
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Illustrationen
Worked examples or Exercises
Maße
Höhe: 234 mm
Breite: 156 mm
Dicke: 25 mm
Gewicht
ISBN-13
978-0-521-10152-3 (9780521101523)
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Schweitzer Klassifikation
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.
