£56.50

Analytic Theory of Continued Fractions (AMS Chelsea Publishing) (Chelsea Publications)

2393055

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£56.50 £55.70 £55.87 £56.05 £56.22 £56.40 £56.57 26 April 2026 08 May 2026 20 May 2026 01 June 2026 13 June 2026

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Description

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.

Key Features

Used Book in Good Condition

Product Specifications

Model
2393055
Format
hardcover
Domain
Amazon UK
Release Date
18 January 2001
Listed Since
22 January 2007

Barcode

No barcode data available

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