Written for advanced undergraduates and graduate students across all applied mathematics, Approximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory. The emphasis is on theorems and methods for analytic functions that often appear in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Topics include Chebyshev points and interpolants, barycentric interpolation formulas, and the Gibbs phenomenon.
MATLAB is used to solve numerous examples in the book. In addition, a supplemental set of MATLAB code files is available for download.