The field of approximation theory has become so vast thatitintersects with every other branch of analysis and playsanincreasingly important role in applications in the appliedsciencesand engineering. Fundamentals of Approximation Theorypresents asystematic, in-depth treatment of some basic topicsinapproximation theory designed to emphasize the rich connectionsofthe subject with other areas of study.

With an approach that moves smoothly from the very concretetomore and more abstract levels, this text provides anoutstandingblend of classical and abstract topics. The first fivechapterspresent the core of information that readers need to beginresearchin this domain. The final three chapters the authors devotetospecial topics-splined functions, orthogonal polynomials, andbestapproximation in normed linear spaces- that illustrate how thecorematerial applies in other contexts and expose readers to theuse ofcomplex analytic methods in approximation theory.

Each chapter contains problems of varyingdifficulty,including some drawn from contemporary research. Perfectfor anintroductory graduate-level class, Fundamentals ofApproximationTheory also contains enough advanced material to servemorespecialized courses at the doctoral level and tointerestscientists and engineers.