Continued Fractions
Analytic Theory and Applications
Cambridge University Press
Published on 28. December 1984
Book
Hardback
456 pages
978-0-521-30231-9 (ISBN)
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Description
This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.
Reviews / Votes
Review of the hardback: 'The first comprehensive and self-contained exposition of the analytic theory of continued fractions in over twenty years'. American Mathematical MonthlyMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Dimensions
Height: 228 mm
Width: 152 mm
Thickness: 30 mm
Weight
960 gr
ISBN-13
978-0-521-30231-9 (9780521302319)
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Content
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.