Spherical Harmonics and Approximations on the Unit Sphere: An Introduction 2012 Edition Contributor(s): Atkinson, Kendall (Author), Han, Weimin (Author) |
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ISBN: 3642259820 ISBN-13: 9783642259821 Publisher: Springer
Binding Type: Paperback Published: February 2012 Click for more in this series: Lecture Notes in Mathematics |
Additional Information |
BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Number Systems - Mathematics | Mathematical Analysis |
Dewey: 511.4 |
Series: Lecture Notes in Mathematics |
Physical Information: 0.6" H x 6" W x 9" L (0.83 lbs) 244 pages |
Descriptions, Reviews, Etc. |
Publisher Description: These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions. |
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