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Birkhäuser - Birkhäuser Mathematics | Walter Gautschi, Volume 3

Walter Gautschi, Volume 3

Selected Works with Commentaries

Brezinski, Claude, Sameh, Ahmed (Eds.)

2014, XI, 767 p. 91 illus., 29 illus. in color.

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  • ​ ​​Collection of original and influential papers by Walter Gautschi on a wide range of relevant topics and techniques
  • Includes historical essays on Euler and Christoffel, 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 ​

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


History and Biography


Works of Werner Gautschi

Content Level » Research

Keywords » Walter Gautschi - interpolation and approximation - mathematical history and biography - ordinary differential equations - orthogonal polynomials - special functions

Related subjects » Birkhäuser Computer Science - Birkhäuser History of Science - Birkhäuser Mathematics

Table of contents 

Part I Commentaries.- Linear recurrence relations.- Ordinary differential equations.- Computer algorithms and software packages.- History and biography.- Miscellanea.- Part II Reprints.- Linear difference equations.- Ordinary differential equations.- Computer algorithms and software packages.- History and biography.- Miscellanea.- Part III Werner Gautschi.- Publications.- Obituaries.- Recording.

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