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
Table of Contents:
Part I Commentaries.- Orthogonal polynomials on the real line.- Polynomials orthogonal on the semicircle.- Chebyshev quadrature.- Kronrod and other quadratures.- Gauss-type quadrature.- Part II Reprints.- Orthogonal polynomials on the real line.- Polynomials orthogonal on the semicircle.- Chebyshev quadrature.- Kronrod and other quadratures.- Gauss-type quadrature.
Review :
From the reviews:
“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)
