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 four-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 Part III includes a section commemorating Walter’s prematurely deceased twin brother, Werner. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science.Selected Works with Commentaries, Vol. 1Numerical ConditioningSpecial FunctionsInterpolation and ApproximationSelected Works with Commentaries, Vol. 2Orthogonal Polynomials on the Real LineOrthogonal Polynomials on the SemicircleChebyshev QuadratureKronrod and Other QuadraturesGauss-type QuadratureSelected Works with Commentaries, Vol. 3Linear Difference EquationsOrdinary Differential EquationsSoftwareHistory and BiographyMiscellaneaWorks of Werner GautschiSelected Works with Commentaries, Vol. 4Special Functions Approximation Orthogonal Polynomials on the Real Line Gauss-type Quadrature Ordinary Differential Equations History Miscellanea

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 four-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 Part III includes a section commemorating Walter’s prematurely deceased twin brother, Werner. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science.Selected Works with Commentaries, Vol. 1Numerical ConditioningSpecial FunctionsInterpolation and ApproximationSelected Works with Commentaries, Vol. 2Orthogonal Polynomials on the Real LineOrthogonal Polynomials on the SemicircleChebyshev QuadratureKronrod and Other QuadraturesGauss-type QuadratureSelected Works with Commentaries, Vol. 3Linear Difference EquationsOrdinary Differential EquationsSoftwareHistory and BiographyMiscellaneaWorks of Werner GautschiSelected Works with Commentaries, Vol. 4Special Functions Approximation Orthogonal Polynomials on the Real Line Gauss-type Quadrature Ordinary Differential Equations History Miscellanea