Spherical Harmonics and Approximations on the Unit Sphere: An Introduction: 2044 (Lecture Notes in Mathematics, 2044) - Softcover

Atkinson, Kendall; Han, Weimin

 
9783642259821: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction: 2044 (Lecture Notes in Mathematics, 2044)
Softcover
ISBN 10: 3642259820 ISBN 13: 9783642259821
Publisher: Springer, 2012

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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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2012
Language
English
ISBN 10 
3642259820
ISBN 13 
9783642259821
Binding
Paperback
Number of pages
253

Other Popular Editions of the Same Title

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

Featured Edition

ISBN 10:  3642259847 ISBN 13:  9783642259845
Publisher: Springer, 2012
Softcover