By George M. Phillips
This e-book covers the most themes excited by interpolation and approximation by means of polynomials. This topic should be traced again to the precalculus period yet has loved such a lot of its development and improvement because the finish of the 19th century and continues to be a full of life and flourishing a part of arithmetic. as well as assurance of univariate interpolation and approximation, the textual content comprises fabric on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has no longer formerly seemed in booklet shape, and a better assurance of Peano kernel concept than is located in so much textbooks. there are lots of labored examples and every part ends with a couple of conscientiously chosen difficulties that stretch the student's realizing of the textual content.
George Phillips has lectured and researched in arithmetic on the collage of St. Andrews, Scotland. His newest ebook, Millenia of arithmetic: From Archimedes to Gauss (Springer 2000), got enthusiastic stories within the united states, Britain and Canada. he's popular for his readability of writing and his many contributions as a researcher in approximation concept.