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035   $a(DE-He213)978-3-642-25983-8
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100   $a20120216d2012      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aSpherical Harmonics and Approximations on the Unit Sphere: An Introduction$b[electronic resource] /$fby Kendall Atkinson, Weimin Han
205   $a1st ed. 2012.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2012.
215   $a1 online resource (IX, 244 p. 19 illus., 11 illus. in color.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2044
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-25982-0 
320   $aIncludes bibliographical references and index.
327   $a1 Preliminaries -- 2 Spherical Harmonics -- 3 Differentiation and Integration over the Sphere -- 4 Approximation Theory -- 5 Numerical Quadrature -- 6 Applications: Spectral Methods.
330   $aThese notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2044
606   $aNumerical analysis
606   $aSpecial functions
606   $aApproximation theory
606   $aIntegral equations
606   $aPartial differential equations
606   $aPhysics
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X
606   $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023
606   $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aPhysics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/P00002
615  0$aNumerical analysis.
615  0$aSpecial functions.
615  0$aApproximation theory.
615  0$aIntegral equations.
615  0$aPartial differential equations.
615  0$aPhysics.
615 14$aNumerical Analysis.
615 24$aSpecial Functions.
615 24$aApproximations and Expansions.
615 24$aIntegral Equations.
615 24$aPartial Differential Equations.
615 24$aPhysics, general.
676   $a518
700   $aAtkinson$b Kendall$4aut$4http://id.loc.gov/vocabulary/relators/aut$054021
702   $aHan$b Weimin$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a996466629503316
996   $aSpherical Harmonics and Approximations on the Unit Sphere: An Introduction$92831483
997   $aUNISA