Constructive Approximation on the Sphere: With Applications to Geomathematics

Author:   W. Freeden (Professor, Professor, Geomathematics Group, University of Kaiserslauten, Germany) ,  T. Gervens (Professor, Professor, University of Osnabruck, Germany) ,  M. Schreiner (Scientific Coworker, Scientific Coworker, Geomathematics Group, University of Kaiserslauten, Germany) ,  Theo Gervens (Professor, University of Osnabruck, Germany)
Publisher:   Oxford University Press
ISBN:  

9780198536826


Pages:   444
Publication Date:   15 January 1998
Format:   Hardback
Availability:   To order   Availability explained
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Constructive Approximation on the Sphere: With Applications to Geomathematics


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Overview

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.

Full Product Details

Author:   W. Freeden (Professor, Professor, Geomathematics Group, University of Kaiserslauten, Germany) ,  T. Gervens (Professor, Professor, University of Osnabruck, Germany) ,  M. Schreiner (Scientific Coworker, Scientific Coworker, Geomathematics Group, University of Kaiserslauten, Germany) ,  Theo Gervens (Professor, University of Osnabruck, Germany)
Publisher:   Oxford University Press
Imprint:   Clarendon Press
Dimensions:   Width: 15.50cm , Height: 2.70cm , Length: 24.20cm
Weight:   0.761kg
ISBN:  

9780198536826


ISBN 10:   0198536828
Pages:   444
Publication Date:   15 January 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

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

Reviews

'This book provides an excellent modern resource for all workers interested in approximation on spherical geometrics ... it contains a very complete treatment of approximation techniques ... This book fills a large gap in the literature by giving a modern treatment of spherical approximation techniques which starts from the first principles but reaches modern developments' Proceedings of the Edinburgh Mathematical Society


'This book provides an excellent modern resource for all workers interested in approximation on spherical geometrics ... it contains a very complete treatment of approximation techniques ... This book fills a large gap in the literature by giving a modern treatment of spherical approximation techniques which starts from the first principles but reaches modern developments' Proceedings of the Edinburgh Mathematical Society


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