Contents
Chapter 1: Linear Algebra
- Vector spaces and subspaces
- Linear maps
- Eigenvectors. Diagonalization
Chapter 2: Affine and Euclidean Geometry
- Affine spaces and affine maps
- Euclidean space. Isometries
Chapter 3: Conics and Quadrics
- Introduction to the projective space
- Classification of conics
- Pencil of conics
- Classification of quadrics
Bibliography
- Anton, H, Rorres, C., Elementary linear algebra. John Wiley & Sons, 2010.
- Castellet, M., Llerena, I., Álgebra lineal y Geometría, Ed. Reverté, 2009.
- Lay, D.C. , Linear Algebra and Its Applications. Third Edition Update. Addison Wesley, 2006.
- Pinilla, J.L., Cónicas, cuádricas, curvas y superficies. Varicop, 1970.
- Pottmann, H., et al., Architectural geometry. Bentley Institute Press, 2007.
- de la Villa, A., et al. Problemas de Álgebra con esquemas teóricos, Ed. CLAGSA, 1994.
