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Download History of Continued Fractions and Padé Approximants (Springer Series in Computational Mathematics) eBook

by Claude Brezinski

Download History of Continued Fractions and Padé Approximants (Springer Series in Computational Mathematics) eBook
ISBN:
3540152865
Author:
Claude Brezinski
Category:
Mathematics
Language:
English
Publisher:
Springer; 1991 edition (December 20, 1990)
Pages:
551 pages
EPUB book:
1154 kb
FB2 book:
1441 kb
DJVU:
1717 kb
Other formats
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Rating:
4.1
Votes:
924


Springer Series in Computational Mathematics. Authors: Brezinski, Claude.

Springer Series in Computational Mathematics. price for USA in USD (gross). ISBN 978-3-642-58169-4. 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 . 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.

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Series: Springer Series in Computational Mathematics (Book 12). Hardcover: 551 pages. ISBN-13: 978-3540152866. Product Dimensions: . x . inches. Back to top.

oceedings{OC, title {History of continued fractions and Pade approximants}, author {Claude Brezinski}, booktitle {Springer series in computational mathematics}, year {1991} }. Claude Brezinski. . Euclid's algorithm. Indeterminate equations. History of notations.

Start by marking History of Continued Fractions and Pade Approximants as Want to Read . The concept of continued fractions os one of the oldest in the history of mathematics. It can be traced back to Euclid's algorithm for the greatest common divisor or even earlier.

Start by marking History of Continued Fractions and Pade Approximants as Want to Read: Want to Read savin. ant to Read. Continued fractions and Pade approximants played an important role in the development of many branches of mathematics, such as the spectral theory of operators, and in the solution of famous prob The concept of continued fractions os one of the oldest in the history of mathematics.

The history of continued fractions is certainly one of the longest among those of mathematical . Other books in this series.

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 . Continued fractions and Padé approximants have played an important role in the development of many branches of mathematics, such as spectral theory of operator the transcendence of +. The book is the first on the subject.

History of continued fractions and Padé approximants. Computational aspects of linear control. Springer Science & Business Media, 2013. Springer Science & Business Media, 2012. Accélération de la convergence en analyse numérique. Extrapolation algorithms and Padé approximations: a historical survey. Applied numerical mathematics 20 (3), 299-318, 1996.

Title: History of Continued Fractions and Padé Approximants. Publisher: Springer-Verlag Berlin Heidelberg. Series: Springer Series in Computational Mathematics 12. Author: Claude Brezinski (auth. Year: published in 1991.

History of continued fractions and Pad� approximants, Springer-Verlag, 1991, 551 p. April 2003 · Journal of Computational and Applied Mathematics.

History of continued fractions and Pad� approximants, Springer-Verlag, 1991, 551 pp. January 1991. We report on using continued fractions to easily obtain high-accuracy eigenvalues and eigenfunctions of mathematical physics, to any desired degree of approximation. The method uses but is not limited to tridiagonal matrices.

This book is not a book on control . the matrix exponential, approximation theory (orthogonal poly nomials, Pad6 approximation, continued fractions and linear fractional transfor mations), optimization, least squares, dynamic programming, etc. So, control theory is also a. good excuse for presenting various (sometimes unrelated) issues of numerical analysis and the procedures for their solution. This book is not a book on control.

Brezinski, History of continued fractions and Padé approximants, Springer Series in Computational Mathematics, vol. 12, Springer-Verlag, Berlin, 1991. C. Brezinski and J. van Iseghem, Padé approximations, Handbook of Numerical Analysis (P. G. Ciarlet and J. L. Lions, ed., vol. 3, North-Holland, Amsterdam, 1993, in press. Fox and I. B. Parker, Chebyshev polynomials in numerical analysis, Oxford University Press, London, 1968. W. Gautschi, Computational methods in special functions--a survey, Theory and application of special functions, Proc.

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 ...