Overview
- Collection of original and influential papers by Walter Gautschi on a wide range of relevant topics and techniques
- Includes historical essays on Euler and Chrisoffel, as well as biographical essays on several influential 20th-century numerical analysts, relating their work to Gautschi's
- Integrates powerful software packages for orthogonal polynomials and their applications
Part of the book series: Contemporary Mathematicians (CM)
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Table of contents (10 chapters)
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Front Matter
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Walter Gautschi
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Front Matter
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Commentaries
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Front Matter
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Keywords
About this book
Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area.
This three-volume set, Walter Gautschi: Selected Works with Commentaries, is a compilation of Gautschi’s most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemorating Walter’s prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science.
Selected Works with Commentaries, Vol. 1
Numerical Conditioning
Special Functions
Interpolation and Approximation
Selected Works with Commentaries, Vol. 2
Orthogonal Polynomials on the Real Line
Orthogonal Polynomials on the Semicircle
Chebyshev Quadrature
Kronrod and Other Quadratures
Gauss-type Quadrature
Selected Works with Commentaries, Vol. 3
Linear Difference Equations
Ordinary Differential Equations
Software
History and Biography
Miscellanea
Works of Werner Gautschi
Reviews
From the reviews:
“Walter Gautschi is one of the leading numerical analysts of the second half of the 20th and the beginning of the 21st century. … Brezinski and Sameh have undertaken to summarize Gautschi’s work in a generally accessible form … . This multi-volume work is not only for readers who are interested in the recent history of numerical analysis, but also for those who want to gain a general overview of this vast field.” (Kai Diethelm, Computing Reviews, May, 2014)
“In each topic it goes in two steps: first there is a part in which well known specialists comment and summarize the contributions of Gautschi each of the topics in the volume and in a second part the papers classified in this topic follow. … In the e-book version, the chapters are downloadable separately which is of course a highly desirable feature. Libraries will find these hard copies on their shelves to be of lasting significance.” (A. Bultheel, The European Mathematical Society, December, 2013)Editors and Affiliations
Bibliographic Information
Book Title: Walter Gautschi, Volume 1
Book Subtitle: Selected Works with Commentaries
Editors: Claude Brezinski, Ahmed Sameh
Series Title: Contemporary Mathematicians
DOI: https://doi.org/10.1007/978-1-4614-7034-2
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2014
Hardcover ISBN: 978-1-4614-7033-5Published: 22 October 2013
Softcover ISBN: 978-1-4939-4389-0Published: 24 September 2016
eBook ISBN: 978-1-4614-7034-2Published: 22 October 2013
Series ISSN: 0884-7037
Edition Number: 1
Number of Pages: XI, 694
Number of Illustrations: 46 b/w illustrations, 4 illustrations in colour
Topics: Numerical Analysis, Mathematics of Computing, Approximations and Expansions, History of Mathematical Sciences, Ordinary Differential Equations