| 000 | 02767nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-88-7642-386-4 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083822.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120218s2011 it | s |||| 0|eng d | ||
| 020 |
_a9788876423864 _9978-88-7642-386-4 |
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| 024 | 7 |
_a10.1007/978-88-7642-386-4 _2doi |
|
| 050 | 4 | _aQA312-312.5 | |
| 072 | 7 |
_aPBKL _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515.42 _223 |
| 100 | 1 |
_aAmbrosio, Luigi. _eauthor. |
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| 245 | 1 | 0 |
_aIntroduction to Measure Theory and Integration _h[electronic resource] / _cby Luigi Ambrosio, Giuseppe Prato, Andrea Mennucci. |
| 264 | 1 |
_aPisa : _bEdizioni della Normale, _c2011. |
|
| 300 |
_a198p. _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 |
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| 490 | 1 |
_aAppunti/Lecture Notes ; _v10 |
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| 505 | 0 | _aMeasure spaces -- Integration -- Spaces of measurable functions -- Hilbert spaces -- Fourier series -- Operations on measures -- The fundamental theorem of integral calculus -- Operations on measures -- Appendix: Riesz representation theorem of the dual of C(K) and integrals depending on a parameter -- Solutions to the exercises. | |
| 520 | _aThis textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, in a quick but rigorous way, the modern point of view on measure theory and integration, putting Lebesgue's Euclidean space theory into a more general context and presenting the basic applications to Fourier series, calculus and real analysis. The text can also pave the way to more advanced courses in probability, stochastic processes or geometric measure theory. Prerequisites for the book are a basic knowledge of calculus in one and several variables, metric spaces and linear algebra. All results presented here, as well as their proofs, are classical. The authors claim some originality only in the presentation and in the choice of the exercises. Detailed solutions to the exercises are provided in the final part of the book. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aMeasure and Integration. |
| 700 | 1 |
_aPrato, Giuseppe. _eauthor. |
|
| 700 | 1 |
_aMennucci, Andrea. _eauthor. |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9788876423857 |
| 830 | 0 |
_aAppunti/Lecture Notes ; _v10 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-88-7642-386-4 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c108917 _d108917 |
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