Lectures related to Isometries in Euclidean Spaces

Explores the modern definition and practical applications of symmetry in geometry.

Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.

Explores the synthesis of plane isometries and their composition through axial reflections, rotations, translations, and glided reflections.

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.

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

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

Covers orthogonal families and projections in vector spaces, including the Gram-Schmidt process.