This graduate text addresses the relationship between modern approximation theory and computational methods. It is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including sinc methods, elliptic function methods, and positive operator approximation methods. This book will serve as a text for graduate courses in computer science and applied mathematics, and also as a reference for professionals.

Review

The book gives an easy-to-read introduction to classical and modern questions in approximation theory. It will be very useful for students. (SIAM Review June 1997)

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