Lecture

Green Theorem: Corollary 3 Proof

Related lectures (28)

Explores the divergence theorem and corollaries related to Green identities in the plane, demonstrating their application through examples.

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Explores variational formulation for measuring information content and divergence between probability distributions.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Covers surface integrals, divergence theorem, and regular domains in 2D and 3D.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Explores the Gauss and Green theorems in vector calculus, showcasing their applications through practical examples and geometric interpretations.

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Explores continuity equations and internal entropy production in various coordinate systems, emphasizing scalar functions and vector quantities.

Covers examples of direct and indirect proofs in mathematics.

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

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Explains how entropy measures uncertainty in a system based on possible outcomes.