Lectures related to Rotation in Mathematics

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

Analyzes angular speed of rotation, internal forces, vectors, and system transformation in a solid.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers the transformation of vectors and tensors in quantum physics.

Covers the concept of orientation in the plane and transformations using matrices.

Explores rotation in analytical geometry, including center coordinates and fixed points.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

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

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Explores operations and applications of linear algebra in solving equations and transformations.

Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

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

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

Explores linear transformations, matrices, and their practical applications in various contexts.

Explores reference frames, vectors, accelerations, and rotations in physics, including kinematics of a material point and uniform circular motion.

Covers linear applications, matrices, transformations, and the principle of superposition.

Covers angular momentum in rotations, including preservation of angles and vector products.

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