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Science/Engineering Analytic Theory of Continued Fractions.

Posted on 2010-03-16




Name:Science/Engineering Analytic Theory of Continued Fractions.
ASIN/ISBN:0828402078
Language:English
File size:3.42 Mb
Publisher:
ISBN: 0828402078
Publish Date: 1967 edition
Pages: 433 Pages
File Size: 3.42 MB
Other Info: DJVU
   Science/Engineering Analytic Theory of Continued Fractions.

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Autor: Hubert Stanley, "Analytic Theory of Continued Fractions."

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 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.From the Preface (1948): "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.

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