Descriptif

Euclidean and Hermitian Spaces continues
the study of linear maps between
vector spaces, started in MAA101. The
goal is to obtain simple and efficient
models for these applications up to suitable
changes of coordinates. The concept
of duality is initially introduced in the
general context of mere vector spaces.
Then, the focus is put on vector spaces
enjoying a richer structure, namely
prehilbert spaces, which is available in
most applications (e.g. in solid mechanics
or in quantum mechanics). The geometry
of these spaces, as well as their important
transformations (e.g. normal or unitary
maps) is also discussed.