Lectures related to 2D Transformations: Linear Maps & Matrices

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

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

Covers the laws of transformation of speeds and accelerations, including the rotation of points and dynamic movement principles.

Covers 3D transformations, Euler angles, and rotation in computer graphics.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Covers the concept of 2D rotations and their analytical expressions.

Delves into modern geometry, covering transformations, isometries, and symmetries.

Explores Galilean transformations in spacetime, focusing on measurements and coordinate transformations.

Explores rotation dynamics around a symmetry axis, covering angular momentum, center of mass theorem, and solid body movement.

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Explores the dynamics of solid bodies, covering speed, acceleration, and rotation principles.

Explores changing bases for rotations, orthogonal planes, and vector transformations under rotation.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.

Covers the principles of system equilibrium in 3D and the calculation of resultant forces and couples.

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

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

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

Provides an overview of image formation and transformation principles in computer vision.

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