Communications in the Analytic Theory of Continued Fractions PDF Download

Author:
Publisher:
ISBN:
Category : Continued fractions
Languages : en
Pages : 456

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Author: Lisa Jacobsen
Publisher: Springer
ISBN: 354046820X
Category : Mathematics
Languages : en
Pages : 152

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Author: W. B. Jones
Publisher: Springer
ISBN: 3540392769
Category : Mathematics
Languages : en
Pages : 250

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Author: Hubert Stanley Wall
Publisher: Courier Dover Publications
ISBN: 0486830446
Category : Mathematics
Languages : en
Pages : 449

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One of the most authoritative and comprehensive books on the subject of continued fractions, this monograph has been widely used by generations of mathematicians and their students. Dr. Hubert Stanley Wall presents a unified theory correlating certain parts and applications of the subject within a larger analytic structure. Prerequisites include a first course in function theory and knowledge of the elementary properties of linear transformations in the complex plane. Some background in number theory, real analysis, and complex analysis may also prove helpful. The two-part treatment begins with an exploration of convergence theory, addressing continued fractions as products of linear fractional transformations, convergence theorems, and the theory of positive definite continued fractions, as well as other topics. The second part, focusing on function theory, covers the theory of equations, matrix theory of continued fractions, bounded analytic functions, and many additional subjects.

Author: Pat Ament
Publisher: Stackpole Books
ISBN: 9780811728539
Category : Biography & Autobiography
Languages : en
Pages : 236

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John Gill has been called the conceptual father of sport climbing. "Master of Rock" provides rare insight into Gill, the man, and his evolution into a climbing pioneer. "This book is a masterpiece. It really shows bouldering like it is: raw, pure, all-encompassing. John Gill is the man!"--Bobbi Bensman.

Author: S. Clement Cooper
Publisher: CRC Press
ISBN: 1000111059
Category : Mathematics
Languages : en
Pages : 400

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This reference - the proceedings of a research conference held in Loen, Norway - contains information on the analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions. Uniting the research efforts of many international experts, this volume: treats strong moment problems, orthogonal polynomials and Laurent polynomials; analyses sequences of linear fractional transformations; presents convergence results, including truncation error bounds; considers discrete distributions and limit functions arising from indeterminate moment problems; discusses Szego polynomials and their applications to frequency analysis; describes the quadrature formula arising from q-starlike functions; and covers continued fractional representations for functions related to the gamma function.;This resource is intended for mathematical and numerical analysts; applied mathematicians; physicists; chemists; engineers; and upper-level undergraduate and agraduate students in these disciplines.

Author: Bruce C. Berndt
Publisher: American Mathematical Soc.
ISBN: 0821812009
Category : Mathematics
Languages : en
Pages : 402

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This volume presents the contributions from the international conference held at the University of Missouri at Columbia, marking Professor Lange's 70th birthday and his retirement from the university. The principal purpose of the conference was to focus on continued fractions as a common interdisciplinary theme bridging gaps between a large number of fields-from pure mathematics to mathematical physics and approximation theory. Evident in this work is the widespread influence of continued fractions in a broad range of areas of mathematics and physics, including number theory, elliptic functions, Padé approximations, orthogonal polynomials, moment problems, frequency analysis, and regularity properties of evolution equations. Different areas of current research are represented. The lectures at the conference and the contributions to this volume reflect the wide range of applicability of continued fractions in mathematics and the applied sciences.

Author: William Jones
Publisher: CRC Press
ISBN: 1000153673
Category : Mathematics
Languages : en
Pages : 442

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"Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions. Pade approximation, special functions, and Gaussian quadrature."

Author: M.R. Schroeder
Publisher: Springer Science & Business Media
ISBN: 9783540265962
Category : Mathematics
Languages : en
Pages : 408

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Number Theory in Science and Communication introductes non-mathematicians to the fascinating and diverse applications of number theory. This best-selling book stresses intuitive understanding rather than abstract theory. This revised fourth edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers.

Author: A. Cuyt
Publisher: Springer Science & Business Media
ISBN: 9400929013
Category : Mathematics
Languages : en
Pages : 459

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Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; use Stein spaces. And in addition to this there are and prediction and electrical engineering can such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.