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This unique textbook emphasizes the communalities between splines and fractals in interpolation and approximation theory, with particular emphasis on fractal functions and fractal surfaces. It presents the classical theory of splines and their properties, and also gives an introduction to the burgeoning new theory of superfractals and superfractal functions.

The first systematic exposition of the theory of fractal surfaces--based on the author's work on and contributions to the theory of fractal functions. Though much of the material presented here is relatively current (developed in the past decade by the author and his colleagues) and fairly specialized, an informative background is provided for those entering the field. Full-color illus.

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