000 | 02949nam a22005895i 4500 | ||
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001 | 978-3-642-25983-8 | ||
003 | DE-He213 | ||
005 | 20160624101837.0 | ||
007 | cr nn 008mamaa | ||
008 | 120216s2012 gw | s |||| 0|eng d | ||
020 |
_a9783642259838 _9978-3-642-25983-8 |
||
024 | 7 |
_a10.1007/978-3-642-25983-8 _2doi |
|
050 | 4 | _aQA297-299.4 | |
072 | 7 |
_aPBKS _2bicssc |
|
072 | 7 |
_aMAT021000 _2bisacsh |
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072 | 7 |
_aMAT006000 _2bisacsh |
|
082 | 0 | 4 |
_a518 _223 |
100 | 1 |
_aAtkinson, Kendall. _eauthor. |
|
245 | 1 | 0 |
_aSpherical Harmonics and Approximations on the Unit Sphere: An Introduction _h[electronic resource] / _cby Kendall Atkinson, Weimin Han. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2012. |
|
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2012. |
|
300 |
_aIX, 244p. 19 illus., 11 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2044 |
|
505 | 0 | _a1 Preliminaries -- 2 Spherical Harmonics -- 3 Differentiation and Integration over the Sphere -- 4 Approximation Theory -- 5 Numerical Quadrature -- 6 Applications: Spectral Methods. | |
520 | _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. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aIntegral equations. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 0 | _aFunctions, special. | |
650 | 0 | _aNumerical analysis. | |
650 | 0 | _aPhysics. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aNumerical Analysis. |
650 | 2 | 4 | _aSpecial Functions. |
650 | 2 | 4 | _aApproximations and Expansions. |
650 | 2 | 4 | _aIntegral Equations. |
650 | 2 | 4 | _aPartial Differential Equations. |
650 | 2 | 4 | _aPhysics, general. |
700 | 1 |
_aHan, Weimin. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642259821 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2044 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-642-25983-8 |
942 |
_2EBK1988 _cEBK |
||
999 |
_c31282 _d31282 |