Found 4 relevant results in 2.82s where lecturer="Demetrios Christodoulou"
Introduction to differential geometry and differential topology. Contents: Curves, (hyper-)surfaces in R^n, geodesics, curvature, Theorema Egregium, Theorem of Gauss-Bonnet. Hyperbolic space. Differentiable manifolds, immersions and embeddings, Sard's Theorem, mapping degree and intersection number, vector bundles, vector fields and flows, differential forms, Stokes' Theorem.
General Relativity Theory
General relativity theory
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Mathematical Methods of Physics I
Mathematische Methoden der Physik I
Fourier series. Linear partial differential equations of mathematical physics. Fourier transform. Special functions and eigenfunction expansions. Distributions. Selected problems from quantum mechanics.
Hydrodynamics describes fluid motion. There are two broad classes of phenomena. The first depends on the compressibility of the fluid. In the linear regime this is acoustics, in the nonlinear regime it is the theory of shock waves. The second is concerned with vortex motion and is present even in the incompressible limit. The phenomena of vortex motion include the chaotic form called turbulence.