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008 | 150903s2011 it | o |||| 0|eng d | ||
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_a9788876423864 _99788876423864 |
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024 | 7 |
_a10.1007/9788876423864 _2doi |
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_a201509030708 _bVLOAD _c201405070405 _dVLOAD _y201402211241 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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050 | 4 | _aQA312-312.5 | |
100 | 1 |
_aAmbrosio, Luigi. _eautor _9334143 |
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245 | 1 | 0 |
_aIntroduction to Measure Theory and Integration / _cby Luigi Ambrosio, Giuseppe Prato, Andrea Mennucci. |
264 | 1 |
_aPisa : _bEdizioni della Normale, _c2011. |
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300 |
_a198 páginas _brecurso en línea. |
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336 |
_atexto _btxt _2rdacontent |
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337 |
_acomputadora _bc _2rdamedia |
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338 |
_arecurso en línea _bcr _2rdacarrier |
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347 |
_aarchivo de texto _bPDF _2rda |
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490 | 0 |
_aAppunti/Lecture Notes ; _v10 |
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500 | _aSpringer eBooks | ||
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. | ||
590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
700 | 1 |
_aPrato, Giuseppe. _eautor _9306548 |
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700 | 1 |
_aMennucci, Andrea. _eautor _9351296 |
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710 | 2 |
_aSpringerLink (Servicio en línea) _9299170 |
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776 | 0 | 8 |
_iEdición impresa: _z9788876423857 |
856 | 4 | 0 |
_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-88-7642-386-4 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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_c310496 _d310496 |