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Related lectures (54)

Convergence of Fourier Series Log in to Mediaspace to watch this video

Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.

Distributions and Laplace Transform: Key Concepts Log in to Mediaspace to watch this video

Discusses distributions, the Laplace transform, and their applications in mathematical analysis.

Mechanics: Introduction and Calculus Log in to Mediaspace to watch this video

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Function Spaces: Review and Compact Operators Log in to Mediaspace to watch this video

Covers the review of function spaces and explores the concept of compact operators.

Analytical Study of Space Log in to Mediaspace to watch this video

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Distribution Interpolation Spaces Log in to Mediaspace to watch this video

Explores distribution interpolation spaces, convergence of sequences, derivatives, weak derivatives, and their applications in minimization problems.

Calculus of Variations: Ground States in Quantum Mechanics Log in to Mediaspace to watch this video

Covers the Calculus of Variations to find ground states in quantum mechanics by minimizing energy, discussing the Euler Lagrange equation and the Fundamental Theorem of Young Measure Theory.

Optimal Transport: Rockafellar Theorem Log in to Mediaspace to watch this video

Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.

Properties of Weak Derivatives Log in to Mediaspace to watch this video

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.

Diophantine Approximation: Minbowski's Theorem Log in to Mediaspace to watch this video

Covers Minbowski's Theorem on Diophantine Approximation and Gram-Schmidt orthogonalization.

Lp Spaces: Introduction Log in to Mediaspace to watch this video

Introduces Lp spaces, covering norms, inequalities, and integrability of functions.

Distribution & Interpolation Spaces Log in to Mediaspace to watch this video

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

Generalized Integrals: Type 2 Log in to Mediaspace to watch this video

Covers the integration of limit expansions and continuous functions by pieces.

Preliminaries in Measure Theory Log in to Mediaspace to watch this video

Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.

Fields Deriving from a Potential Log in to Mediaspace to watch this video

Explores fields deriving from a potential, emphasizing integral and linear aspects.

Approximation by Smooth Functions Log in to Mediaspace to watch this video

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Surface Normals: Vector Analysis Log in to Mediaspace to watch this video

Explains surface normals for parametric and implicit surfaces, focusing on vector analysis and examples with spheres.

Calculus of Variations: Some Topics Log in to Mediaspace to watch this video

Covers fundamental topics in calculus of variations, including minimizers and the Euler-Lagrange equation.

Untitled Log in to Mediaspace to watch this video

Vectors and Tensors: Derivatives and Transformations Log in to Mediaspace to watch this video

Explores gradient, divergence, and integral theorems in vector calculus.

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