Lectures related to Local Inversion Theorem

Explores canonical analysis of quadratic functions to identify conic shapes in planes.

Covers the Newton method for finding zeros of functions using data interpolation.

Introduces Matlab basics, error handling, and billiards project concepts.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Covers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.

Introduces vector definitions, displacement, addition, and applications in geometry.

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Explores linear dependence and independence of vectors in geometric spaces.

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Introduces scalars and vectors, explaining their properties and mathematical operations.

Explores kinetic energy, diagonalization of matrices, Euler angles, and spinning top motion.

Covers the Picard method for solving nonlinear equations using fixed point iteration.