Description
Springer Interpolation And Approximation By Polynomials 2003 Edition by George M. Phillips
In addition to coverage of univariate interpolation and approximation the text includes material on multivariate interpolation and multivariate numerical integration a generalization of the Bernstein polynomials that has not previously appeared in book form and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. The author is well known for his clarity of writing and his many contributions as a researcher in approximation theory. Table of contents : * Preface * Univariate Interpolation * Best Approximation * Numerical Integration * Peano's Theorem and Applications * Multivariate Interpolation * Splines * Bernstein Polynomials * Properties of the q-integers * References * Index *