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The theory of continued fractions has been defined by a small handful of books. This is one of them. The focus of Walls 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 Schwarzs 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
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer,
birth defects, or other reproductive harm.
I bought this for a friend who loves math, but I didn’t realize how theoretical it would be. The book seems targeted at those with a strong background in math; I found it quite challenging myself. Just a heads up for potential buyers!
M
Maya Johnson
Too complex for casual readers
I bought this for a friend who loves math, but I didn’t realize how theoretical it would be. The book seems targeted at those with a strong background in math; I found it quite challenging myself. Just a heads up for potential buyers!
M
Maya Johnson
Too complex for casual readers
I bought this for a friend who loves math, but I didn’t realize how theoretical it would be. The book seems targeted at those with a strong background in math; I found it quite challenging myself. Just a heads up for potential buyers!
H
Hiro Tanaka
Solid mathematical insights
The book provides some solid insights into continued fractions and their applications. I found the organization a bit confusing, but the depth of information is impressive. Not for everyone, but great for serious learners!
H
Hiro Tanaka
Solid mathematical insights
The book provides some solid insights into continued fractions and their applications. I found the organization a bit confusing, but the depth of information is impressive. Not for everyone, but great for serious learners!
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⚠️ California Proposition 65 Warning: Some products sold on this website may expose you to chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm. For more information, visit www.P65Warnings.ca.gov.
