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Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
Taschenbuch von Weimin Han (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

An easily accessible introduction to the theory of spherical harmonics in an arbitrary dimension

A summarizing account of classical and recent results on some aspects of function approximations by spherical polynomials and numerical integration over the unit sphere

Useful for graduate students and researchers interested in solving problems over the sphere

Good for a graduate level topic course on spherical harmonics and approximations over the sphere

Includes supplementary material: [...]

Inhaltsverzeichnis
1 Preliminaries.- 2 Spherical Harmonics.- 3 Differentiation and Integration over the Sphere.- 4 Approximation Theory.- 5 Numerical Quadrature.- 6 Applications: Spectral Methods.
Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: ix
244 S.
8 s/w Illustr.
11 farbige Illustr.
244 p. 19 illus.
11 illus. in color.
ISBN-13: 9783642259821
ISBN-10: 3642259820
Sprache: Englisch
Herstellernummer: 86024521
Einband: Kartoniert / Broschiert
Autor: Han, Weimin
Atkinson, Kendall
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 15 mm
Von/Mit: Weimin Han (u. a.)
Erscheinungsdatum: 18.02.2012
Gewicht: 0,394 kg
Artikel-ID: 106715380
Zusammenfassung

An easily accessible introduction to the theory of spherical harmonics in an arbitrary dimension

A summarizing account of classical and recent results on some aspects of function approximations by spherical polynomials and numerical integration over the unit sphere

Useful for graduate students and researchers interested in solving problems over the sphere

Good for a graduate level topic course on spherical harmonics and approximations over the sphere

Includes supplementary material: [...]

Inhaltsverzeichnis
1 Preliminaries.- 2 Spherical Harmonics.- 3 Differentiation and Integration over the Sphere.- 4 Approximation Theory.- 5 Numerical Quadrature.- 6 Applications: Spectral Methods.
Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: ix
244 S.
8 s/w Illustr.
11 farbige Illustr.
244 p. 19 illus.
11 illus. in color.
ISBN-13: 9783642259821
ISBN-10: 3642259820
Sprache: Englisch
Herstellernummer: 86024521
Einband: Kartoniert / Broschiert
Autor: Han, Weimin
Atkinson, Kendall
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 15 mm
Von/Mit: Weimin Han (u. a.)
Erscheinungsdatum: 18.02.2012
Gewicht: 0,394 kg
Artikel-ID: 106715380
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