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008 150903s2011 it | o |||| 0|eng d
020 _a9788876423864
_99788876423864
024 7 _a10.1007/9788876423864
_2doi
035 _avtls000364971
039 9 _a201509030708
_bVLOAD
_c201405070405
_dVLOAD
_y201402211241
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA312-312.5
100 1 _aAmbrosio, Luigi.
_eautor
_9334143
245 1 0 _aIntroduction to Measure Theory and Integration /
_cby Luigi Ambrosio, Giuseppe Prato, Andrea Mennucci.
264 1 _aPisa :
_bEdizioni della Normale,
_c2011.
300 _a198 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aAppunti/Lecture Notes ;
_v10
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
700 1 _aMennucci, Andrea.
_eautor
_9351296
710 2 _aSpringerLink (Servicio en línea)
_9299170
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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999 _c310496
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