Analytic Theory of Continued Fractions - Couverture rigide

Wall, H. S.

Couverture rigide

ISBN 10 : 0821821067 ISBN 13 : 9780821821060

Editeur : American Mathematical Society, 2000

Synopsis

The theory of continued fractions has been defined by a small handful of books. This is one of them. The focus of Wall's book is on the study of continued fractions in the theory of analytic functions, rather than on arithmetical aspects. There are extended discussions of orthogonal polynomials, power series, infinite matrices and quadratic forms in infinitely many variables, definite integrals, the moment problem and the summation of divergent series.'In writing this book, I have tried to keep in mind the student of rather modest mathematical preparation, presupposing only a first course in function theory. Thus, I have included such things as a proof of Schwarz's inequality, theorems on uniformly bounded families of analytic functions, properties of Stieltjes integrals, and an introduction to the matrix calculus. I have presupposed a knowledge of the elementary properties of linear fractional transformations in the complex plane. It has not been my intention to write a complete treatise on the subject of continued fractions, covering all the literature, but rather to present a unified theory correlating certain parts and applications of the subject within a larger analytic structure...' - from the Preface.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2000
• Langue: anglais
• ISBN 10: 0821821067
• ISBN 13: 9780821821060
• Reliure: Relié
• Nombre de pages: 433
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible