Bilinear FormsCovers bilinear forms in vector spaces, their properties, orthogonality, and equivalence conditions.
Symplectic GroupsExplores symplectic groups, linear transformations preserving non-degenerate alternating bilinear forms on vector spaces.
Scalar Product and Euclidean SpacesCovers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
