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Books > Science & Mathematics > Physics > Applied physics & special topics > Geophysics
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Constructive Approximation on the Sphere - With Applications to Geomathematics (Hardcover)
Loot Price: R3,936
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Constructive Approximation on the Sphere - With Applications to Geomathematics (Hardcover)
Series: Numerical Mathematics and Scientific Computation
Expected to ship within 12 - 17 working days
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The subject of geomathematics focuses on the interpretation and
classification of data from geoscientific and satellite sources,
reducing information to a comprehensible form and allowing the
testing of concepts. Sphere oriented mathematics plays an important
part in this study and this book provides the necessary foundation
for graduate students and researchers interested in any of the
diverse topics of constructive approximation in this area. This
book bridges the existing gap between monographs on special
functions of mathematical physics and constructive approximation in
Euclidean spaces. The primary objective is to provide readers with
an understanding of aspects of approximation by spherical
harmonics, such as spherical splines and wavelets, as well as
indicating future directions of research. Scalar, vectorial, and
tensorial methods are each considered in turn. The concentration on
spherical splines and wavelets allows a double simplification; not
only is the number of independent variables reduced resulting in a
lower dimensional problem, but also radial basis function
techniques become applicable. When applied to geomathematics this
leads to new structures and methods by which sophisticated
measurements and observations can be handled more efficiently, thus
reducing time and costs.
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