LEADER 02680nam 2200565Ka 450 001 9910483618103321 005 20200520144314.0 010 $a3-642-25983-9 024 7 $a10.1007/978-3-642-25983-8 035 $a(CKB)3360000000365821 035 $a(SSID)ssj0000630009 035 $a(PQKBManifestationID)11393320 035 $a(PQKBTitleCode)TC0000630009 035 $a(PQKBWorkID)10731542 035 $a(PQKB)10389040 035 $a(DE-He213)978-3-642-25983-8 035 $a(MiAaPQ)EBC3070403 035 $a(PPN)159086329 035 $a(EXLCZ)993360000000365821 100 $a20120228d2012 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSpherical harmonics and approximations on the unit sphere $ean introduction /$fKendall Atkinson, Weimin Han 205 $a1st ed. 2012. 210 $aBerlin ;$aNew York $cSpringer$dc2012 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 (Springer-Verlag) ;$v2044. 606 $aSpherical harmonics 606 $aSpherical functions 615 0$aSpherical harmonics. 615 0$aSpherical functions. 676 $a515/.53 700 $aAtkinson$b Kendall E$054021 701 $aHan$b Weimin$0287589 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483618103321 996 $aSpherical harmonics and approximations on the unit sphere$9853807 997 $aUNINA