| 000 | 02682nam a22004935i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-7004-5 | ||
| 003 | DE-He213 | ||
| 005 | 20140220082827.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 130809s2013 xxu| s |||| 0|eng d | ||
| 020 |
_a9781461470045 _9978-1-4614-7004-5 |
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| 024 | 7 |
_a10.1007/978-1-4614-7004-5 _2doi |
|
| 050 | 4 | _aQA319-329.9 | |
| 072 | 7 |
_aPBKF _2bicssc |
|
| 072 | 7 |
_aMAT037000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515.7 _223 |
| 100 | 1 |
_aWillem, Michel. _eauthor. |
|
| 245 | 1 | 0 |
_aFunctional Analysis _h[electronic resource] : _bFundamentals and Applications / _cby Michel Willem. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Birkhäuser, _c2013. |
|
| 300 |
_aXIII, 213 p. 18 illus. _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 |
_aCornerstones, _x2197-182X |
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| 505 | 0 | _aPreface -- The Integral -- Norm -- Lebesgue Spaces -- Duality -- Sobolev Spaces -- Capacity -- Elliptic Problems -- Appendix -- Epilogue -- References -- Index of Notations -- Index. | |
| 520 | _aThe goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 0 | _aFunctional analysis. | |
| 650 | 0 | _aDifferential equations, partial. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aFunctional Analysis. |
| 650 | 2 | 4 | _aAnalysis. |
| 650 | 2 | 4 | _aPartial Differential Equations. |
| 650 | 2 | 4 | _aMathematics, general. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461470038 |
| 830 | 0 |
_aCornerstones, _x2197-182X |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-7004-5 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c95820 _d95820 |
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