Introduction to measure theory and integration
This 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...
Gorde:
| Egile Nagusiak: | , , |
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| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Pisa :
Scuola Normale Superiore
[20..].
Cham : Springer Nature |
| Edizioa: | 1st ed. 2011. |
| Saila: | Lecture Notes (Scuola Normale Superiore)
10 |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Description d'après consultation du 26 février 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Introduction to measure theory and integration, Luigi Ambrosio, Giuseppe Da Prato and Andrea Mennucci, 2011, Pisa, Edizioni della Normale, 1 vol. (XI-187 p.)., Appunti Lecture Notes, 978-88-7642-385-7 |
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| 041 | 0 | |a eng | |
| 082 | |a 515.42 | ||
| 084 | |a 28-01. 1991 | ||
| 084 | |a 28Axx. 1991 | ||
| 084 | |a 46C05. 1991 | ||
| 100 | 1 | |a Ambrosio, Luigi, |d 1963-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Introduction to measure theory and integration |c by Luigi Ambrosio, Giuseppe Prato, Andrea Mennucci. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Pisa : |b Scuola Normale Superiore. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes (Scuola Normale Superiore) |v 10 |x 2946-2983 | |
| 500 | |a Description d'après consultation du 26 février 2013 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Measure 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This 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 | |a Théorie de la mesure | ||
| 650 | |a Séries de Fourier | ||
| 700 | 1 | |a Da Prato, Giuseppe, |d 1936-2023, |c mathématicien. |4 aut | |
| 700 | 1 | |a Mennucci, Andrea Carlo Giuseppe, |d 1970-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 170541827 |t Introduction to measure theory and integration |f Luigi Ambrosio, Giuseppe Da Prato and Andrea Mennucci |d 2011 |c Pisa |n Edizioni della Normale |p 1 vol. (XI-187 p.). |s Appunti Lecture Notes |z 978-88-7642-385-7 | |
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| 856 | 4 | |5 452349901:750609184 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-88-7642-386-4 |z Accès Université d'Orléans | |
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