Lehrinhalte
Part I: sigma-algebras, measures, outer measures and Carathéodorys theorem, Lebesgue measure; measurable functions, Lebesgue integral, convergence theorems, Lp-spaces, Fubinis theorem in R^n change of variables formula.
Part II: Convolution integrals, Fouriertransform; Submanifolds, surface measures, divergence theorem, Greens theorem, Stokes theorem.
Literature
Part I: sigma-algebras, measures, outer measures and Carathéodorys theorem, Lebesgue measure; measurable functions, Lebesgue integral, convergence theorems, Lp-spaces, Fubinis theorem in R^n change of variables formula.
Part II: Convolution integrals, Fouriertransform; Submanifolds, surface measures, divergence theorem, Greens theorem, Stokes theorem.
Voraussetzungen
recommended: Analysis and Linear Algebra
Part I: sigma-algebras, measures, outer measures and Carathéodorys theorem, Lebesgue measure; measurable functions, Lebesgue integral, convergence theorems, Lp-spaces, Fubinis theorem in R^n change of variables formula.
Part II: Convolution integrals, Fouriertransform; Submanifolds, surface measures, divergence theorem, Greens theorem, Stokes theorem.
Literature
Part I: sigma-algebras, measures, outer measures and Carathéodorys theorem, Lebesgue measure; measurable functions, Lebesgue integral, convergence theorems, Lp-spaces, Fubinis theorem in R^n change of variables formula.
Part II: Convolution integrals, Fouriertransform; Submanifolds, surface measures, divergence theorem, Greens theorem, Stokes theorem.
Voraussetzungen
recommended: Analysis and Linear Algebra
- Lehrende: Anonym
- Lehrende: HallerRobert
Semester: ST 2021