Continued Fractions And Pad Approximants
DOWNLOAD
Download Continued Fractions And Pad Approximants PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Continued Fractions And Pad Approximants book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
History Of Continued Fractions And Pad Approximants
DOWNLOAD
Author : Claude Brezinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
History Of Continued Fractions And Pad Approximants written by Claude Brezinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great est common divisor at least three centuries B.C. As it is often the case and like Monsieur Jourdain in Moliere's "Ie bourgeois gentilhomme" (who was speak ing in prose though he did not know he was doing so), continued fractions were used for many centuries before their real discovery. The history of continued fractions and Pade approximants is also quite im portant, since they played a leading role in the development of some branches of mathematics. For example, they were the basis for the proof of the tran scendence of 11' in 1882, an open problem for more than two thousand years, and also for our modern spectral theory of operators. Actually they still are of great interest in many fields of pure and applied mathematics and in numerical analysis, where they provide computer approximations to special functions and are connected to some convergence acceleration methods. Con tinued fractions are also used in number theory, computer science, automata, electronics, etc ...
Continued Fractions And Pad Approximants
DOWNLOAD
Author : Claude Brezinski
language : en
Publisher: North Holland
Release Date : 1990
Continued Fractions And Pad Approximants written by Claude Brezinski and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Padeacute; approximants and continued fractions are typical examples of old areas of mathematics (continued fractions can be traced back to Euclid's g.c.d. algorithm more than 2000 years ago) which are again very much alive. This is due to their numerous applications in number theory, cryptography, statistics, numerical analysis, special functions, digital filtering, signal processing, fractals, fluid mechanics, theoretical physics, chemistry, engineering etc. This renewal of interest is also due to their intimate connection with other important topics such as orthogonal polynomials (another old subject now again in full vitality), rational approximation, Gaussian quadratures, extrapolation and convergence acceleration methods, differential equations etc.
Continued Fractions With Applications
DOWNLOAD
Author : L. Lorentzen
language : en
Publisher: North Holland
Release Date : 1992-11-08
Continued Fractions With Applications written by L. Lorentzen and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-08 with Computers categories.
This book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who would like an extensive introduction to the analytic theory of continued fractions. The book contains several recent results and new angles of approach and thus should be of interest to researchers throughout the field. The first five chapters contain an introduction to the basic theory, while the last seven chapters present a variety of applications. Finally, an appendix presents a large number of special continued fraction expansions. This very readable book also contains many valuable examples and problems.
Continued Fractions
DOWNLOAD
Author : Carl Douglas Olds
language : en
Publisher: Mathematical Association of America (MAA)
Release Date : 1963
Continued Fractions written by Carl Douglas Olds and has been published by Mathematical Association of America (MAA) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Mathematics categories.
Continued Fractions
DOWNLOAD
Author : Lisa Lorentzen
language : en
Publisher: atlantis press
Release Date : 2008
Continued Fractions written by Lisa Lorentzen and has been published by atlantis press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Continued Fractions consists of two volumes -- Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011. Volume 1 is dedicated to the convergence and computation of continued fractions, while Volume 2 will treat representations of meromorphic functions by continued fractions. Taken together, the two volumes will present the basic continued fractions theory without requiring too much previous knowledge; some basic knowledge of complex functions will suffice. Both new and advanced graduate students of continued fractions shall get a comprehensive understanding of how these infinite structures work in a number of applications, and why they work so well. A varied buffet of possible applications to whet the appetite is presented first, before the more basic but modernized theory is given.This new edition is the result of an increasing interest in computing special functions by means of continued fractions. The methods described in detail are, in many cases, very simple, yet reliable and efficient.
Analytic Theory Of Continued Fractions
DOWNLOAD
Author : Hubert Stanley Wall
language : en
Publisher: Courier Dover Publications
Release Date : 2018-05-16
Analytic Theory Of Continued Fractions written by Hubert Stanley Wall and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-16 with Mathematics categories.
One of the most authoritative and comprehensive books on continued fractions, this monograph presents a unified theory correlating certain parts and applications of the subject within a larger analytic structure. 1948 edition.
A Bibliography On Continued Fractions Pad Approximation Sequence Transformation And Related Subjects
DOWNLOAD
Author : Claude Brezinski
language : en
Publisher:
Release Date : 1991
A Bibliography On Continued Fractions Pad Approximation Sequence Transformation And Related Subjects written by Claude Brezinski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Continued fractions categories.
On The Pad Approximants Associated With The Continued Fraction And Series Of Stieltjes
DOWNLOAD
Author : Hubert Stanley Wall
language : en
Publisher:
Release Date : 1929
On The Pad Approximants Associated With The Continued Fraction And Series Of Stieltjes written by Hubert Stanley Wall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1929 with Continued fractions categories.
Continued Fractions
DOWNLOAD
Author : Leo Jerome Lange
language : en
Publisher: American Mathematical Soc.
Release Date : 1999-07-28
Continued Fractions written by Leo Jerome Lange and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-28 with Mathematics categories.
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, Pade 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.
Applications Of Pad Approximation Theory In Fluid Dynamics
DOWNLOAD
Author : Amilcare Pozzi
language : en
Publisher: World Scientific
Release Date : 1994
Applications Of Pad Approximation Theory In Fluid Dynamics written by Amilcare Pozzi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
Although Pad presented his fundamental paper at the end of the last century, the studies on Pad's approximants only became significant in the second part of this century.Pad procedure is related to the theory of continued fractions, and some convergence theorems can be expressed only in terms of continued fractions. Further, Pad approximants have some advantages of practical applicability with respect to the continued-fraction theory. Moreover, as Chisholm notes, a given power series determines a set of approximants which are usually unique, whereas there are many ways of writing an associated continued fraction.The principal advantage of Pad approximants with respect to the generating Taylor series is that they provide an extension beyond the interval of convergence of the series.Pad approximants can be applied in many parts of fluid-dynamics, both in steady and in nonsteady flows, both in incompressible and in compressible regimes.This book is divided into four parts. The first one deals with the properties of the Pad approximants that are useful for the applications and illustrates, with the aid of diagrams and tables, the effectiveness of this technique in the field of applied mathematics. The second part recalls the basic equations of fluid-dynamics (those associated with the names of Navier-Stokes, Euler and Prandtl) and gives a quick derivation of them from the general balance equation. The third shows eight examples of the application of Pad approximants to steady flows, also taking into account the influence of the coupling of heat conduction in the body along which a fluid flows with conduction and convection in the fluid itself. The fourth part considers two examples of the application of Pad approximants to unsteady flows.