GEOMETRY
GEOMETRY
Syllabus - A. Bucki
- Groups; Fields; Vector Spaces; Homomorphisms
- Group theoretic approach to geometry
- Projective plane with group of projective transformations;
polar correlations; subgroups of group
of projective transformations
- Parabolic, hyperbolic, and elliptic geometries
- Poincare model of hyperbolic geometry
- Axiomatic approach to geometry
- Differential geometry of curves and surfaces