
Continued Fractions with Applications: Volume 3
Elsevier (Publisher)
Published on 11. February 1991
Book
Paperback/Softback
606 pages
978-1-4933-0276-5 (ISBN)
Description
This book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who would like an extensive introduction to the analytic theory of continued fractions. The book contains several recent results and new angles of approach and thus should be of interest to researchers throughout the field. The first five chapters contain an introduction to the basic theory, while the last seven chapters present a variety of applications. Finally, an appendix presents a large number of special continued fraction expansions. This very readable book also contains many valuable examples and problems.
Reviews / Votes
"...ample material to make the reader fall in love with continued fractions... If you are interested in learning about continued fractions, this book should be on the top of your reading list." --Newsletter on Computational and Applied MathematicsMore details
Series
Language
English
Place of publication
United States
Publishing group
Elsevier Health Sciences
Target group
Professional and scholarly
ISBN-13
978-1-4933-0276-5 (9781493302765)
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Schweitzer Classification
Other editions
Additional editions

L. Lorentzen | H. Waadeland
Continued Fractions with Applications: Volume 3
Book
04/1992
North-Holland
€65.00
Shipment within 15-20 days
Persons
Author
Division of Mathematical Sciences, University of Trondheim, Norway
Department of Mathematics and Statistics, University of Trondheim, Norway
Content
I. Introductory Examples. II. More Basics. III. Convergence Criteria. IV. Continued Fractions and Three-Term Recurrence Relations. V. Correspondence of Continued Fractions. VI. Hypergeometric Functions. VII. Moments and Orthogonality. VIII. Pade Approximants. IX. Some Applications in Number Theory. X. Zero-free Regions. XI. Digital Filters and Continued Fractions. XII. Applications to Some Differential Equations. Appendix: Some Continued Fraction Expansions. References. Index.