Analytic Theory of Continued Fractions - Brossura

Wall, Hubert Stanley

Brossura

ISBN 10: 0486823695 ISBN 13: 9780486823690

Casa editrice: Dover Pubns, 2018

Riassunto

One of the most authoritative and comprehensive books on the subject of continued fractions, this monograph has been widely used by generations of mathematicians and their students. Dr. Hubert Stanley Wall presents a unified theory correlating certain parts and applications of the subject within a larger analytic structure. Prerequisites include a first course in function theory and knowledge of the elementary properties of linear transformations in the complex plane. Some background in number theory, real analysis, and complex analysis may also prove helpful.
The two-part treatment begins with an exploration of convergence theory, addressing continued fractions as products of linear fractional transformations, convergence theorems, and the theory of positive definite continued fractions, as well as other topics. The second part, focusing on function theory, covers the theory of equations, matrix theory of continued fractions, bounded analytic functions, and many additional subjects.

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Informazioni sull?autore

Hubert Stanley Wall (1902–71) received his Ph.D. from the University of Wisconsin. He taught at Northwestern and the Illinois Institute of Technology before joining the faculty of the University of Texas at Austin in 1946, where he spent the rest of his career and supervised more than 60 mathematics doctoral students.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 0486823695
• ISBN 13: 9780486823690
• Rilegatura: Copertina flessibile
• Numero di pagine: 433
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia