國立虎尾科技大學 |

Extrapolation and Rational Approximation = The Works of the Main Contributors /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Extrapolation and Rational Approximation/ by Claude Brezinski, Michela Redivo-Zaglia.
其他題名:	The Works of the Main Contributors /
作者:	Brezinski, Claude.
其他作者:	Redivo-Zaglia, Michela.
面頁冊數:	VIII, 406 p. 32 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Approximations and Expansions. -
電子資源:	https://doi.org/10.1007/978-3-030-58418-4
ISBN:	9783030584184

Extrapolation and Rational Approximation = The Works of the Main Contributors /
Brezinski, Claude.

Extrapolation and Rational ApproximationThe Works of the Main Contributors /[electronic resource] :by Claude Brezinski, Michela Redivo-Zaglia. - 1st ed. 2020. - VIII, 406 p. 32 illus.online resource.

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. .

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. Claude Brezinski is professor emeritus of mathematics at the University of Lille (France), where he has been head of the Laboratory of Numerical Analysis and Optimization for 30 years. He was the advisor of 60 doctoral students. Prof. Brezinski is founder and Editor-in-Chief of the Numerical Algorithms journal and author of over 240 papers and several books. Michela Redivo-Zaglia is professor of numerical analysis at the University of Padua (Italy). She has been vice-director of the Department of Mathematics for three years. She is a member of the Editorial Board of several journals. She published software packages, 7 scientific and didactic books, and about 80 papers. She was the organizer of many international congresses, and an invited speaker at several ones.

ISBN: 9783030584184

Standard No.: 10.1007/978-3-030-58418-4doiSubjects--Topical Terms:

672153
Approximations and Expansions.

LC Class. No.: QA297-299.4

Dewey Class. No.: 518

Extrapolation and Rational Approximation = The Works of the Main Contributors /
LDR:03759nam a22003975i 4500 001 1030111
003 DE-He213
005 20201130205701.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030584184 $9 978-3-030-58418-4
024 7 $a 10.1007/978-3-030-58418-4 $2 doi
035 $a 978-3-030-58418-4
050 4 $a QA297-299.4
072 7 $a PBKS $2 bicssc
072 7 $a MAT021000 $2 bisacsh
072 7 $a PBKS $2 thema
082 0 4 $a 518 $2 23
100 1 $a Brezinski, Claude. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1021363
245 1 0 $a Extrapolation and Rational Approximation $h [electronic resource] : $b The Works of the Main Contributors / $c by Claude Brezinski, Michela Redivo-Zaglia.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a VIII, 406 p. 32 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a 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. .
520 $a 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. Claude Brezinski is professor emeritus of mathematics at the University of Lille (France), where he has been head of the Laboratory of Numerical Analysis and Optimization for 30 years. He was the advisor of 60 doctoral students. Prof. Brezinski is founder and Editor-in-Chief of the Numerical Algorithms journal and author of over 240 papers and several books. Michela Redivo-Zaglia is professor of numerical analysis at the University of Padua (Italy). She has been vice-director of the Department of Mathematics for three years. She is a member of the Editorial Board of several journals. She published software packages, 7 scientific and didactic books, and about 80 papers. She was the organizer of many international congresses, and an invited speaker at several ones.
650 2 4 $a Approximations and Expansions. $3 672153
650 2 4 $a Sequences, Series, Summability. $3 672022
650 1 4 $a Numerical Analysis. $3 671433
650 0 $a Approximation theory. $3 527707
650 0 $a Sequences (Mathematics). $3 1253882
650 0 $a Numerical analysis. $3 527939
700 1 $a Redivo-Zaglia, Michela. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1326937
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030584177
776 0 8 $i Printed edition: $z 9783030584191
776 0 8 $i Printed edition: $z 9783030584207
856 4 0 $u https://doi.org/10.1007/978-3-030-58418-4
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)