00000cmm a22000004a 4500 UP-99796217611212378 Buklod 20230215085534.0 m go j cr |nu|||auu|a 120218s2011 xx u | eng d 9788876423864 (eBook) 8876423869 (eBook) (iLib)UPD-00215704140 DML eng DMLUC QA 312 A42 2011eb Ambrosio, Luigi. Introduction to measure theory and integration [electronic resource] Luigi Ambrosio, Guiseppe Da Prato, and Andrea Mennucci. Pisa Edizioni Della Normale c2011. 1 online resource (xi, 187 p.) Appunti 10. 1. Measure spaces -- 2. Integration -- 3. Spaces of integrable functions -- 4. Hilbert spaces -- 5. Fourier series -- 6. Operations on measures -- 7. The fundamentals theorem of the integral calculus -- 8. Measurable transformations. IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website. 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 geomet. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Electronic books. Integrals, Generalized Textbooks. Measure theory Textbooks. Mathematics Textbooks. Electronic books. Da Prato, Giuseppe. Mennucci, Andrea Carlo Giuseppe. SpringerLink (Online service). Electronic Resource Available for University of the Philippines Diliman via SpringerLink. Click here to access http://link.springer.com/book/10.1007/978-88-7642-386-4 FO Monograph UPD DMLR Electronic Resource