1# Library to Find Best eBook for Read
Author : Claude Brezinski
Release : 1991
Genre : Continued fractions
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis A Bibliography on Continued Fractions, Padé Approximation, Sequence Transformation and Related Subjects by : Claude Brezinski
Download or read book A Bibliography on Continued Fractions, Padé Approximation, Sequence Transformation and Related Subjects written by Claude Brezinski. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Claude Brezinski
Release : 1991
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis A bibliography on continued fractions, padé approximation, sequence transformation and related subjets by : Claude Brezinski
Download or read book A bibliography on continued fractions, padé approximation, sequence transformation and related subjets written by Claude Brezinski. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lisa Lorentzen
Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 074/5 ( reviews)
Book Synopsis Continued Fractions by : Lisa Lorentzen
Download or read book Continued Fractions written by Lisa Lorentzen. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Claude Brezinski
Release : 2020-11-30
Genre : Mathematics
Kind : eBook
Book Rating : 186/5 ( reviews)
Book Synopsis Extrapolation and Rational Approximation by : Claude Brezinski
Download or read book Extrapolation and Rational Approximation written by Claude Brezinski. This book was released on 2020-11-30. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Claude Brezinski
Release : 1990
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Continued Fractions and Padé Approximants by : Claude Brezinski
Download or read book Continued Fractions and Padé Approximants written by Claude Brezinski. This book was released on 1990. Available in PDF, EPUB and Kindle. Book excerpt: 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.
