LINEAR ALGEBRA AND GEOMETRY A - L

The goal is to provide the basic notions about linear algebra and geometry of first and second degree.

Cartesian product. Algebraic structures. Groups, rings, fields. Matrices. Vector spaces. Endomorphisms. Diagonalization. Bilinear forms. Scalar products. Hermitian products. Spectral theorem.

Affine spaces. Projective spaces. Linear geometry. Conics. Quadrics.

1) Salvatore Giuffrida, Alfio Ragusa
Corso di Algebra Lineare
Ed. Il Cigno G. Galilei, Roma 1998

2) Giuseppe Paxia
Lezioni di Geometria
Spazio Libri, Catania 2000