Code: 1-UMA-203
Continuous assessment: Test
Final assessment: Examination
Objective: Theory of affine mappings of Euclidean space and their classification in E2 and E3.
Course syllabus:- Affine mapping of Euclidean spaces and its properties.
- Some subgroups of the group of affine transformations En.
- Classification of isometries E2 and their decomposition into axial symmetries.
- Classification of isometries E3 and their decomposition into plane symmetries.
- Similarities in En and their classification.
Literature:
Sekanina, M. et al.: Geometrie II, SPN Prague, 1988
Šedivý, O. et al.: Geometria 2, SPN Bratislava, 1987
Chalmovianský, P.: Geometry of affine mappings of Euclidean spaces. (for teaching combinations).
Berger, M.: Geometry 1, 2nd ed., Nathan, Paris, 1977, 1978 (Russian translation: Berže: Geometrija I, II, Moscow Mir 1984).
Šedivý, O. et al.: Geometria 2, SPN Bratislava, 1987
Chalmovianský, P.: Geometry of affine mappings of Euclidean spaces. (for teaching combinations).
Berger, M.: Geometry 1, 2nd ed., Nathan, Paris, 1977, 1978 (Russian translation: Berže: Geometrija I, II, Moscow Mir 1984).