Green's Theorem in 2D: Applications

Related lectures (22)

Page 1 of 3

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

Covers the application of Cauchy equations and integral decomposition, addressing questions related to holomorphic functions and Jacobian matrices.

Discusses the mathematical concepts of cylinders and their parametrizations, including surface area, volume, and related exercises.

Explores closed curves in topological spaces, emphasizing their properties and significance in mathematics.

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.

Covers the Triangle Inequality Theorem in triangles, showing side length relationships.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

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

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.