Lecture
Green Theorem: Corollary 3 Proof
Related lectures (38)
Matrix Similarity and Diagonalization
Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.
Orthogonal Complement and Projection Theorems
Explores orthogonal complement and projection theorems in vector spaces.
Weyl character formula
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Green Theorems: Divergence Theorem and Identities of Green
Explores the application of Green theorems in 2D and 3D spaces.
Curve Integrals of Vector Fields
Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Harmonic Forms and Riemann Surfaces
Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Green's Theorem in 2D: Applications
Explores the applications of Green's Theorem in 2D, emphasizing the importance of regular domains for successful integration.