000 | 03943nam a22005897a 4500 | ||
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001 | sulb-eb0023141 | ||
003 | BD-SySUS | ||
005 | 20160413122336.0 | ||
007 | cr nn 008mamaa | ||
008 | 130217s2013 sz | s |||| 0|eng d | ||
020 |
_a9783034805636 _9978-3-0348-0563-6 |
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024 | 7 |
_a10.1007/978-3-0348-0563-6 _2doi |
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050 | 4 | _aQA351 | |
072 | 7 |
_aPBKF _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
|
072 | 7 |
_aMAT037000 _2bisacsh |
|
082 | 0 | 4 |
_a515.5 _223 |
100 | 1 |
_aFreeden, Willi. _eauthor. |
|
245 | 1 | 0 |
_aSpecial Functions of Mathematical (Geo-)Physics _h[electronic resource] / _cby Willi Freeden, Martin Gutting. |
264 | 1 |
_aBasel : _bSpringer Basel : _bImprint: Birkhäuser, _c2013. |
|
300 |
_aXV, 501 p. 37 illus., 18 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 | _aApplied and Numerical Harmonic Analysis | |
505 | 0 | _a1 Introduction: Geomathematical Motivation -- Part I: Auxiliary Functions -- 2 The Gamma Function -- 3 Orthogonal Polynomials -- Part II: Spherically Oriented Functions.- 4 Scalar Spherical Harmonics in R^3 -- 5 Vectorial Spherical Harmonics in R^3 -- 6 Spherical Harmonics in R^q -- 7 Classical Bessel Functions -- 8 Bessel Functions in R^q -- Part III: Periodically Oriented Functions -- 9 Lattice Functions in R -- 10 Lattice Functions in R^q -- 11 Concluding Remarks -- References -- Index. | |
520 | _aSpecial functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross-sectional importance to the scientific reality. The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field). The differential equation under consideration determines the type of special functions that are needed in the desired reduction process. Each chapter closes with exercises that reflect significant topics, mostly in computational applications. As a result, readers are not only directly confronted with the specific contents of each chapter, but also with additional knowledge on mathematical fields of research, where special functions are essential to application. All in all, the book is an equally valuable resource for education in geomathematics and the study of applied and harmonic analysis. Students who wish to continue with further studies should consult the literature given as supplements for each topic covered in the exercises. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aGeophysics. | |
650 | 0 | _aAtmospheric sciences. | |
650 | 0 | _aHarmonic analysis. | |
650 | 0 | _aPartial differential equations. | |
650 | 0 | _aSpecial functions. | |
650 | 0 | _aMathematical physics. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aSpecial Functions. |
650 | 2 | 4 | _aMathematical Physics. |
650 | 2 | 4 | _aGeophysics/Geodesy. |
650 | 2 | 4 | _aPartial Differential Equations. |
650 | 2 | 4 | _aAbstract Harmonic Analysis. |
650 | 2 | 4 | _aAtmospheric Sciences. |
700 | 1 |
_aGutting, Martin. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783034805629 |
830 | 0 | _aApplied and Numerical Harmonic Analysis | |
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-0348-0563-6 |
912 | _aZDB-2-SMA | ||
942 |
_2Dewey Decimal Classification _ceBooks |
||
999 |
_c45233 _d45233 |