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Analytic Theory of Continued Fractions

transformations, convergence theorems, and the theory of positive definite continued fractions, as well as other topics. The second part, focusing on;

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Australian Mathematical Society Lecture Series

elementary and metric properties, to quadratic irrationals, to more exotic topics such as folded continued fractions and Somos sequences. Along the;

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Continued Fractions - Vol 1

Continued Fractions consists of two volumes — Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title;

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Continued Fractions

of the theory of continued functions, a special algorithm that is one of the most important tools in analysis, probability theory, mechanics, and;

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Continued Fractions

This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational;

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Orthogonal Functions

Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal;

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Continued Fractions and Signal Processing

Besides their well-known value in number theory, continued fractions are also a useful tool in modern numerical applications and computer;

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Orthogonal Functions

Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal;

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Diophantine Approximation and Dirichlet Series

continued fractions expansions, and the mixing property of the Gauss map and goes on to present the general theory of Dirichlet series with classes;

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Diophantine Approximation and Dirichlet Series

continued fractions expansions, and the mixing property of the Gauss map and goes on to present the general theory of Dirichlet series with classes;

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Continued Fractions with Applications

secondly, senior or graduate students who would like an extensive introduction to the analytic theory of continued fractions. The book contains;

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Orthogonal Polynomials and Continued Fractions

of Orthogonal Polynomials, and very recent advances in Orthogonal Polynomials on the unit circle. As continued fractions become more important again;

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Discrete Hamiltonian Systems

This book should be accessible to students who have had a first course in matrix theory. The existence and uniqueness theorem of Chapter 4;

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Algebra, an Elementary Text-Book for the Higher Classes of Secondary Schools and for Colleges, Parts 1 & 2

elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite;

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Algebra, an Elementary Text-Book for the Higher Classes of Secondary Schools and for Colleges, Part 2

elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite;

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Algebra, an Elementary Text-book for the Higher Classes of Secondary Schools and for Colleges, Part 1

elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite;

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Quadratic Irrationals

different aspects is lacking. Covering both classical and recent results, this book unifies the theory of continued fractions, quadratic orders;

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Approximation Methods in Science and Engineering

is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and;

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Continued Fractions and Orthogonal Functions

analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions.Uniting the research;

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Applied And Computational Complex Analysis

applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly;

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The Mathematics of Plato's Academy

wrote and how their writings have then been transmitted to us. This leads to descriptions of taxation and land-measurement in the Greek;

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Lectures in Algebraic Combinatorics

last two lectures are on heaps, continued fractions and orthogonal polynomials with applications, and finally there is an exposition on the;

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A Course in Computational Number Theory

A Course in Computational Number Theory uses the computer as a tool for motivation and explanation. The book is designed for the reader to;

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Diophantine Approximation and Dirichlet Series

uncertainty principle, ergodic theory and Diophantine approximation to be used in the sequel. A presentation of continued fraction expansions;

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Cp Theory Problem Book

properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis. The text is designed to;

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