Spherical Harmonics and Approximations on the Unit Sphere: An Introduction: An Introduction (Lecture Notes in Mathematics) - Couverture souple

Atkinson, Kendall; Han, Weimin

 
9783642259821: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction: An Introduction (Lecture Notes in Mathematics)

Synopsis

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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Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783642259845: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction

Edition présentée

ISBN 10 :  3642259847 ISBN 13 :  9783642259845
Editeur : Springer, 2012
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