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Constructive Approximation on the Sphere: With Applications to Geomathematics(Numerical Mathematics and Scientific Computation)

Constructive Approximation on the Sphere: With Applications to Geomathematics(Numerical Mathematics and Scientific Computation)

          
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About the Book

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.

Table of Contents:
1. Notation ; 2. Polynomials ; 3. Scalar Spherical Harmonics ; 4. Green's Functions ; 5. Spherical Radial Basis Functions ; 6. Spherical Splines ; 7. Approximate Integration ; 8. Spherical Singular Integrals ; 9. Gabor and Toeplitz Transform ; 10. Continuous Wavelet Transform ; 11. Discrete Wavelet Transform ; 12. Vector Spherical Harmonics ; 13. Vectorial Approximation Methods ; 14. Tensor Spherical Harmonics ; 15. Tensorial Approximation Methods ; References ; Subject Index


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Product Details
  • ISBN-13: 9780198536826
  • Publisher: Oxford University Press
  • Publisher Imprint: Clarendon Press
  • Height: 242 mm
  • No of Pages: 444
  • Series Title: Numerical Mathematics and Scientific Computation
  • Sub Title: With Applications to Geomathematics
  • Width: 155 mm
  • ISBN-10: 0198536828
  • Publisher Date: 15 Jan 1998
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Spine Width: 27 mm
  • Weight: 847 gr


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Constructive Approximation on the Sphere: With Applications to Geomathematics(Numerical Mathematics and Scientific Computation)
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