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Author: George A. Jr. Baker
Publisher: Elsevier
ISBN: 0323156150
Category : Science
Languages : en
Pages : 319
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Book Description
Essentials of Padé Approximants
Author: George A. Jr. Baker
Publisher: Elsevier
ISBN: 0323156150
Category : Science
Languages : en
Pages : 319
Get Book Here
Book Description
Essentials of Padé Approximants
Author: George George Allen Baker
Publisher:
ISBN: 9780124333055
Category : Padé approximant
Languages : en
Pages : 306
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Book Description
Author: George Jr Baker
Publisher:
ISBN:
Category :
Languages : en
Pages : 306
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Book Description
Author: George Allen Baker
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 328
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Book Description
Author: Claude Brezinski
Publisher: Springer Science & Business Media
ISBN: 3642581692
Category : Mathematics
Languages : en
Pages : 556
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Book Description
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 ...
Author: George Allen Baker
Publisher: Cambridge University Press
ISBN: 0521450071
Category : Mathematics
Languages : en
Pages : 762
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Book Description
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.
Author: Claude Brezinski
Publisher: Springer Nature
ISBN: 3030584186
Category : Mathematics
Languages : en
Pages : 410
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Book Description
This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors. It can serve as an introduction to the topics covered, including extrapolation methods, Padé approximation, orthogonal polynomials, continued fractions, Lanczos-type methods etc.; it also provides in depth discussion of the many links between these subjects. A highlight of this book is the presentation of the human side of the fields discussed via personal testimonies from contemporary researchers, their anecdotes, and their exclusive remembrances of some of the “actors.” This book shows how research in this domain started and evolved. Biographies of other scholars encountered have also been included. An important branch of mathematics is described in its historical context, opening the way to new developments. After a mathematical introduction, the book contains a precise description of the mathematical landscape of these fields spanning from the 19th century to the first part of the 20th. After an analysis of the works produced after that period (in particular those of Richardson, Aitken, Shanks, Wynn, and others), the most recent developments and applications are reviewed.
Author: Werner Hildenbrand
Publisher: Cambridge University Press
ISBN: 9780521312677
Category : Business & Economics
Languages : en
Pages : 316
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Book Description
This volume includes papers delivered at the Fourth World Congress of the Econometric Society. It will interest economic theorists and econometricians working in universities, government, and business and financial institutions.
Author: L. Wuytack
Publisher: Springer
ISBN: 3540385118
Category : Mathematics
Languages : en
Pages : 403
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Book Description
Author: H. Werner
Publisher: Springer
ISBN: 3540389148
Category : Mathematics
Languages : en
Pages : 273
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Book Description
