Continued Fractions
Analytic Theory and Applications
Published on 19. February 2009
Book
Paperback/Softback
460 pages
978-0-521-10152-3 (ISBN)
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
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 25 mm
Weight
693 gr
ISBN-13
978-0-521-10152-3 (9780521101523)
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Schweitzer Classification
Other editions
Additional editions
E-Book
05/2012
1st Edition
Cambridge University Press
€85.99
Available for download
Book
12/1984
Cambridge University Press
€61.90
Article exhausted; check for reprint
Previous edition
Book
12/1984
Cambridge University Press
€61.90
Article exhausted; check for reprint
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.