| Center |
| Faculty of Mathematics |
| Departament |
| Mathematical Analysis |
| Lecturers in charge |
| F7076 - MANUEL MAESTRE VERA |
| Met. Docent |
| Practical and theoretical classes |
| Met. Avaluació |
| Final examination - - |
| Bibliografia |
| 1. T.M. Apostol, Análisis Matemático, Reverté, 1976 2. S.B. Chae, Lebesgue integration. Marcel Dekker, 1980 3. A.N. Kolmogorov y S.V.Fomin, Introductory Real Analysis, Dover, 1970 4. H.L.Royden, Real Analysis, Mac Millan, 1968 5. K.R.Stromberg, An Introduction to classical Real Analysis, Wadsworth, 1981 6. A.J. Weir, Lebesgue Integration and Measure, Cambridge Univ. Press, 1973 |
| Continguts |
| Convex functions. Functions of bounded variation. Differentiation of functions of bounded variation. Differentiation of integrals. Recovering a function from its derivative. Techniques to evaluate Lebesgue integrals. |
| Objetius |
| The basic purpose of this course is to establish a relationship between derivation and integration as its inverse operation. Since Riemann s integration theory turns unsufficient to solve this, we turn to Lebesgue's theory to show that this relation holds almost everywhere. |
| URL de Fitxa |