Methods of Integration of Functions in Several Variables

Related lectures (32)

Page 1 of 4

Explores limits of functions in several real variables, including the two gendarmes theorem and the minimum and maximum theorem on compact sets.

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

Covers examples of coordinate transformations, focusing on polar and spherical coordinates.

Discusses limits of multivariable functions, focusing on definitions, examples, and techniques for calculating limits effectively.

Explores compact sets, extreme values, and function theorems on bounded sets.

Covers extreme values of continuous functions on compact sets and differentiability.

Covers polar coordinates, the Jacobian matrix, and examples of calculating areas in polar coordinates.

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

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Covers multiple integrals, change of variables to polar coordinates, and area calculations.