| 000 | 03089nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-46981-0 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151824.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1990 gw | s |||| 0|eng d | ||
| 020 |
_a9783540469810 _9978-3-540-46981-0 |
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| 024 | 7 |
_a10.1007/BFb0089552 _2doi |
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| 050 | 4 | _aQA299.6-433 | |
| 072 | 7 |
_aPBK _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 072 | 7 |
_aPBK _2thema |
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| 082 | 0 | 4 |
_a515 _223 |
| 245 | 1 | 2 |
_aA Nonlinear Theory of Generalized Functions _h[electronic resource] / _cedited by Hebe de Azevedo Biagioni. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1990. |
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| 300 |
_aXIV, 218 p. _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 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1421 |
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| 505 | 0 | _aGeneralized functions on an open subset of En -- Generalized functions on an arbitrary subset of En -- Generalized solutions of nonlinear partial differential equations. | |
| 520 | _aThis book provides a simple introduction to a nonlinear theory of generalized functions introduced by J.F. Colombeau, which gives a meaning to any multiplication of distributions. This theory extends from pure mathematics (it presents a faithful generalization of the classical theory of C? functions and provides a synthesis of most existing multiplications of distributions) to physics (it permits the resolution of ambiguities that appear in products of distributions), passing through the theory of partial differential equations both from the theoretical viewpoint (it furnishes a concept of weak solution of pde's leading to existence-uniqueness results in many cases where no distributional solution exists) and the numerical viewpoint (it introduces new and efficient methods developed recently in elastoplasticity, hydrodynamics and acoustics). This text presents basic concepts and results which until now were only published in article form. It is in- tended for mathematicians but, since the theory and applications are not dissociated it may also be useful for physicists and engineers. The needed prerequisites for its reading are essentially reduced to the classical notions of differential calculus and the theory of integration over n-dimensional euclidean spaces. | ||
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 700 | 1 |
_aBiagioni, Hebe de Azevedo. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662185896 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540524083 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1421 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0089552 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 912 | _aZDB-2-BAE | ||
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