Lecture
Methods of Integration of Functions in Several Variables
Related lectures (32)
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Harmonic Forms and Riemann Surfaces
Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Coordinate Transformations: Polar and Spherical Coordinates
Covers examples of coordinate transformations, focusing on polar and spherical coordinates.
Limits of Functions in Several Variables
Explores limits of functions in several real variables, including the two gendarmes theorem and the minimum and maximum theorem on compact sets.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Polar Coordinates: Jacobian Matrix and Examples
Covers polar coordinates, the Jacobian matrix, and examples of calculating areas in polar coordinates.
Coordinate Systems: Applications and Transformations
Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.
Coordinate Systems: Polar, Cylindrical, Spherical
Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.
Introduction to Structural Mechanics
Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.