Lectures related to Implicit Functions Theorem

Explains compact sets, convergence, and absolute convergence in real analysis.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Explores the implicit function theorem for n=2 and n=3, focusing on tangent hyperplanes.

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.

Explores Nosé-Hoover thermostats, emphasizing the difference between real and virtual variables.

Explores the concept of universal coating through detailed proofs and examples, emphasizing uniqueness and significance.