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Multivariate Approximation (Hardcover)
Loot Price: R2,639
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Multivariate Approximation (Hardcover)
Series: Cambridge Monographs on Applied and Computational Mathematics
Expected to ship within 12 - 17 working days
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This self-contained, systematic treatment of multivariate
approximation begins with classical linear approximation, and moves
on to contemporary nonlinear approximation. It covers substantial
new developments in the linear approximation theory of classes with
mixed smoothness, and shows how it is directly related to deep
problems in other areas of mathematics. For example, numerical
integration of these classes is closely related to discrepancy
theory and to nonlinear approximation with respect to special
redundant dictionaries, and estimates of the entropy numbers of
classes with mixed smoothness are closely related to (in some cases
equivalent to) the Small Ball Problem from probability theory. The
useful background material included in the book makes it accessible
to graduate students. Researchers will find that the many open
problems in the theory outlined in the book provide helpful
directions and guidance for their own research in this exciting and
active area.
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