Walter Gautschi, Volume 3: Selected Works with Commentaries

ISBN-13: 9781461471318 / Angielski / Twarda / 2013 / 767 str.

Claude Brezinski; Ahmed Sameh

Opis

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. 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 Gautschi

Recenzje

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)

Spis treści

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.