Sub-Varieties and Topological Concepts

Related lectures (31)

Page 3 of 4

Explores directional derivatives in two-variable functions and extremum points.

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Explores chaotic systems, fractals, and dimensions in Chaos Theory.

Covers the application of finite difference methods to solve partial differential equations.

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Discusses defining tensors, space-time dimensionality, and challenges in formulating a relativistic theory of gravity.

Covers the theorems on continuous functions and extremums in compact sets.

Covers the conditions for finding absolute extrema in multivariable functions.

Demonstrates efficient dot product computation and introduces nonlinear boundaries in the original space.