Function ApproximationsCovers continuous functions with compact support, density, and approximation, focusing on the heat equation.
Euler-Lagrange EquationsCovers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.
Integral on S-upCovers the properties of the integral on S-up, including linearity and monotony.
Newton's Shell TheoremExplains Newton's shell theorem for Gravitation and Electrostatics, including potential concepts and spherical coordinates application.
Riesz-Fischer TheoremExplores the Riesz-Fischer theorem, discussing completeness and convergence in L^p spaces with examples and demonstrations.
Separable L^2 SpacesCovers the concept of separable L^2 spaces, demonstrating properties and providing examples.
Dual Space and Weak ConvergenceExplores the dual space of a Hilbert space and weak convergence, focusing on orthonormal bases and separable Hilbert spaces.
