| Center |
| Faculty of Mathematics |
| Departament |
| Mathematical Analysis |
| Lecturers in charge |
| G5180 - SERGIO SEGURA DE LEON |
| Met. Docent |
| Theorical lectures and exercises. |
| Met. Avaluació |
| Final examination and project work . |
| Bibliografia |
| (1) Bartle, R.: The elements of integration and Lebesgue measure. Wiley classics Library Edition 1995. (2) Adams, M.; Guillemin, V.: Measure theory and probability. Wadsworth & Brooks. Mathematics series 1996. (3) Billingsley, P.: Probability and Measure John Wiley and Sons, 1986. (4) De Barra, G.: Measure Theory and Integration. Ellis Hoewood Ltd., 1981. (5) George, C.: Exercises et problems d'integration, Gauthier- Villars, Paris, 1980. (6) Rudin, W.: Analisis real y complejo. Mac Graw-Hill., 1988. (7) Valdivia, M.: Análisis Matemático V. UNED. |
| Continguts |
| 1. Theorem of Caratheodory-Hahn. 2. Integration with respect to a measure. 3. Product of measures. Theorem of Fubini. 4. Radon-Nikodym theorems. |
| Objetius |
| The main purpose of this course is to give the student a basic introduction to the fundamental concepts of Measure Theory. |
| URL de Fitxa |