Muratori – Esercizi Svolti di Analisi Reale e Funzionale
Libro adottato a Politecnico di Milano, a.a. 2026/2027 · 3 canali
«Muratori – Esercizi Svolti di Analisi Reale e Funzionale» è adottato per Real And Functional Analysis dal prof. Marco Pozzetta (Engineering Physics, Mathematical Engineering – Politecnico di Milano); per Real And Functional Analysis dal prof. Gianmaria Verzini (Mathematical Engineering – Politecnico di Milano).
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Come lo indica il docente: M. Muratori, F. Punzo, N. Soave, Esercizi Svolti di Analisi Reale e Funzionale, Esculapio, Anno edizione: 2021 Note: Eserciziario
Argomenti del programma: 1. Real Analysis. Measurable space, measure, outer measure. Generation of an outer measure. Carathéodory's condition, measure induced by an outer measure. Lebesgue's measure on R ^n. Measurable functions. The Lebesgue integral. Abstract integration. Monotone convergence theorem, Fatou's Lemma, Lebesgue's dominated convergence theorem. Comparison between the Lebesgue and Riemann integrals.
Argomenti del programma: 1. Real Analysis. Measurable space, measure, outer measure. Generation of an outer measure. Carathéodory's condition, measure induced by an outer measure. Lebesgue's measure on R ^n. Measurable functions. The Lebesgue integral. Abstract integration. Monotone convergence theorem, Fatou's Lemma, Lebesgue's dominated convergence theorem. Comparison between the Lebesgue and Riemann integrals.
Argomenti del programma: 1. Real Analysis. Measurable space, measure, outer measure. Generation of an outer measure. Carathéodory's condition, measure induced by an outer measure. Lebesgue's measure on R ^n. Measurable functions. The Lebesgue integral. Abstract integration. Monotone convergence theorem, Fatou's Lemma, Lebesgue's dominated convergence theorem. Comparison between the Lebesgue and Riemann integrals.