This book is aimed at advanced undergraduate students and graduate students and is intended for a course in numerical analysis and approximation theory. The author covers topics such as multivariate interpolation, Peano kernel theory, and the applications of q-integers to approximation theory, the latter of which have never been fully examined in book form before.

Includes supplementary material: sn.pub/extras

Autorentext

George Phillips has lectured and researched in mathematics at the University of St. Andrews, Scotland. His most recent book, Two Millenia of Mathematics: From Archimedes to Gauss (Springer 2000), received enthusiastic reviews in the USA, Britain and Canada. He is well known for his clarity of writing and his many contributions as a researcher in approximation theory.

Inhalt
Univariate Interpolation.- Best Approximation.- Numerical Integration.- Peano's Theorem and Applications.- Multivariate Interpolation.- Splines.- Bernstein Polynomials.- Properties of the q-Integers.