Extrapolation and Rational Approximation: The Works of the Main Contributors by

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Extrapolation and Rational Approximation by Claude Brezinski, Michela Redivo-Zaglia

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.

FORMAT
Paperback LANGUAGE
English CONDITION
Brand New Publisher 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.

Back Cover

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, Pad

Table of Contents

1. General Overview.- 2. Mathematical Background.- 3.The Mathematical Landscape up to the Mid-Twentieth Century.- 4.The Life of Peter Wynn.- 5.The Works of Peter Wynn. - 6.Commentaries and Further Developments.- 7. Testimonies.- 8. Vitae.- As a conclusion.- Acknowledgements.- Bibliography.- Index.

Review

"The reader goes deep into the research of the contributors, the monograph contains a quite precise description of the mathematical landscape of these subjects, formed by the mid-twentieth century." (Ralitza Kovacheva, Mathematical Reviews, May, 2022)
"This book ends with a conclusion and a bibliography of 816 items. Here an important branch of numerical analysis is impressively described in its historical context, opening a way to new developments." (Manfred Tasche, zbMATH 1477.65006, 2022)

Review Quote

"This book ends with a conclusion and a bibliography of 816 items. Here an important branch of numerical analysis is impressively described in its historical context, opening a way to new developments." (Manfred Tasche, zbMATH 1477.65006, 2022)

Feature

Includes testimonies by those who played (and are still playing) an important role in central topics Overviews Shanks' extrapolation method, Pad

Details ISBN3030584208 Author Michela Redivo-Zaglia Short Title Extrapolation and Rational Approximation Pages 406 Language English Year 2021 ISBN-10 3030584208 ISBN-13 9783030584207 Format Paperback Subtitle The Works of the Main Contributors Publisher Springer Nature Switzerland AG Publication Date 2021-12-02 Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland UK Release Date 2021-12-02 Edited by Carmelo Maria Torre Birth 1974 Affiliation Massachusetts Institute of Technology Position journalist Qualifications S. J. Alternative 9783030584177 Audience Professional & Vocational Edition Description 2020 ed. Edition 2020th Country of Origin NL Product Class Description Mathematics Illustrations 32 Illustrations, black and white
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