Found 6 relevant results in 2.63s where lecturer="Sebastian Baader"
Complex Analysis
Komplexe Analysis
Basics of complex analysis in theory and applications, in particular the global properties of analytic functions. Introduction to the integral transforms used in signal theory and network analysis.
Differential Topology
Differentialtopologie
Critical and regular points of differential mappings, Sard's theorem; differential forms, Moser's theorem on volume forms, degree of a mapping; de Rham cohomology and singular cohomology; applications in low-dimensional topology, especially in knot theory.
Differential Topology
Differentialtopologie
Critical and regular points of differential mappings, Sard's theorem, Whitney's embedding theorem for compact manifolds; Morse theory and handle decompositions for differentiable manifolds, Reeb's theorem; degree of a mapping (via regular values and via differential n-forms), theorem of Poincare-Hopf about vector fields; Pontryagin's construction.
Linear Algebra
Lineare Algebra
Contents: Linear systems - the Gaussian algorithm, matrices - LU decomposition, determinants, vector spaces, least squares - QR decomposition, linear maps, eigenvalue problem, normal forms - singular value decomposition; numerical aspects.
Topics covered include: topological spaces, continuity, connectedness, compactness, product spaces, separation axioms, quotient spaces, homotopy, fundamental group, covering spaces.