Pade Approximations And Its Applications
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Pade Approximation And Its Applications
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Author : L. Wuytack
language : en
Publisher: Springer
Release Date : 2006-11-15
Pade Approximation And Its Applications written by L. Wuytack and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Pade Approximations And Its Applications
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Author : H. Werner
language : en
Publisher: Springer
Release Date : 2006-12-08
Pade Approximations And Its Applications written by H. Werner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
Pade Approximation And Its Applications Amsterdam 1980
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Author : M.G. de Bruin
language : en
Publisher: Springer
Release Date : 2006-12-08
Pade Approximation And Its Applications Amsterdam 1980 written by M.G. de Bruin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
History Of Continued Fractions And Pad Approximants
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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 ...
Pade Approximants
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Author : George Allen Baker
language : en
Publisher: Cambridge University Press
Release Date : 1996-01-26
Pade Approximants written by George Allen Baker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-26 with Mathematics categories.
The first edition of this book was reviewed in 1982 as "the most extensive treatment of Pade approximants actually available." This second edition has been thoroughly updated, with a substantial new chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, and computational methods. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike.
Pade Approximations And Its Applications
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Author : H. Werner
language : en
Publisher:
Release Date : 2014-01-15
Pade Approximations And Its Applications written by H. Werner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Rational Approximation Of Real Functions
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Author : P. P. Petrushev
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-03
Rational Approximation Of Real Functions written by P. P. Petrushev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-03 with Mathematics categories.
This 1987 book examines the approximation of real functions by real rational functions. These are a more convenient tool than polynomials, and interest in them was growing, especially after D. Newman's work in the mid-sixties. The authors present the basic achievements of the subject and also discuss some topics from complex rational approximation.
Laurent Series And Their Pad Approximations
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Author : A. Bultheel
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Laurent Series And Their Pad Approximations written by A. Bultheel and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Social Science categories.
The Pade approximation problem is, roughly speaking, the local approximation of analytic or meromorphic functions by rational ones. It is known to be important to solve a large scale of problems in numerical analysis, linear system theory, stochastics and other fields. There exists a vast literature on the classical Pade problem. However, these papers mostly treat the problem for functions analytic at 0 or, in a purely algebraic sense, they treat the approximation of formal power series. For certain problems however, the Pade approximation problem for formal Laurent series, rather than for formal power series seems to be a more natural basis. In this monograph, the problem of Laurent-Pade approximation is central. In this problem a ratio of two Laurent polynomials in sought which approximates the two directions of the Laurent series simultaneously. As a side result the two-point Pade approximation problem can be solved. In that case, two series are approximated, one is a power series in z and the other is a power series in z-l. So we can approximate two, not necessarily different functions one at zero and the other at infinity.
Approximation Theory And Approximation Practice Extended Edition
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Author : Lloyd N. Trefethen
language : en
Publisher: SIAM
Release Date : 2019-01-01
Approximation Theory And Approximation Practice Extended Edition written by Lloyd N. Trefethen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-01 with Mathematics categories.
This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the fields most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.
Rational Approximation And Its Applications In Mathematics And Physics
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Author : Jacek Gilewicz
language : en
Publisher: Springer
Release Date : 2006-11-15
Rational Approximation And Its Applications In Mathematics And Physics written by Jacek Gilewicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.