Methods of Integration of Functions in Several Variables

Related lectures (32)

Page 3 of 4

Explores changing variables in multiple integrals, with a focus on polar transformations and their applications in calculating areas.

Covers the concept of compact embedding in Banach spaces and Sobolev inequalities.

Explores circular motion, friction, and Newton's laws in various coordinate systems.

Covers Fubini's theorem, change of variables, and area calculations in multiple integrals.

Explores continuous functions on compact sets, discussing boundedness and extremum values.

Covers methods of integrating functions of several variables and different coordinate systems.

Covers the Prokhorov Theorem in Optimal Transport, emphasizing support sets and optimality conditions.

Explores interior points, boundaries, adherence, and compact sets, including definitions and examples.

Covers the fundamental concepts of kinematics, including position, velocity, and acceleration in different coordinate systems.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.