| 000 | 02640nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-34459-9 | ||
| 003 | DE-He213 | ||
| 005 | 20161121231033.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 gw | s |||| 0|eng d | ||
| 020 |
_a9783540344599 _9978-3-540-34459-9 |
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| 024 | 7 |
_a10.1007/3-540-34459-4 _2doi |
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| 050 | 4 | _aQA370-380 | |
| 072 | 7 |
_aPBKJ _2bicssc |
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| 072 | 7 |
_aMAT007000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515.353 _223 |
| 100 | 1 |
_aSauvigny, Friedrich. _eauthor. |
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| 245 | 1 | 0 |
_aPartial Differential Equations 1 _h[electronic resource] : _bFoundations and Integral Representations / _cby Friedrich Sauvigny. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
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| 300 |
_aXIV, 437 p. 14 illus., 1 illus. in color. _bonline resource. |
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| 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 |
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| 490 | 1 | _aUniversitext | |
| 505 | 0 | _aDifferentiation and Integration on Manifolds -- Foundations of Functional Analysis -- Brouwer’s Degree of Mapping with Geometric Applications -- Generalized Analytic Functions -- Potential Theory and Spherical Harmonics -- Linear Partial Differential Equations in ?n. | |
| 520 | _aThis comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods. In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume. This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aPartial differential equations. | |
| 650 | 0 | _aPhysics. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aPartial Differential Equations. |
| 650 | 2 | 4 | _aMathematical Methods in Physics. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540344575 |
| 830 | 0 | _aUniversitext | |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/3-540-34459-4 |
| 912 | _aZDB-2-SMA | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c507634 _d507634 |
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