Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article takes the reader to the forefront of research and ends with a comprehensive bibliography.

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Multivariate approximation theory is today an increasingly active research area, dealing with problems in areas such as Computer Aided Geometric Design, wavelets, multi-dimensional splines, radial-basis functions and geometric modeling. This advanced introduction consists of nine articles by leading experts that survey many of the new ideas and tools and their applications. Each article introduces a particular topic, takes the reader to the forefront of research and ends with a comprehensive list of references. Ideal for researchers and graduate students who wish to learn about the subject and its applications.

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