Holme, A.: Geometry. Springer – Verlag, Berlin, Heidelberg, New York, 2002,
ISBN 3-540-41949-7 .
Ukončeno v akademickém roce 2019/2020
Geometry
| Type of study | Follow-up Master |
|---|---|
| Language of instruction | Czech |
| Code | 714-0441/01 |
| Abbreviation | G |
| Course title | Geometry |
| Credits | 6 |
| Coordinating department | Department of Mathematics and Descriptive Geometry |
| Course coordinator | RNDr. Jana Volná, Ph.D. |
Osnova předmětu
1.Affine spaces, affine coordinates.
2.Subspaces of the affine space, analytical formulation of the subspaces.
3.Mutual position of the subspaces.
4.Collinearity, linear systems of hyperplanes.
5.Affine transformations, affine transformaton of the affine space.
6.Classification of the affine transformations.
7.Classification for the line and the plane.
8.Vector spaces vith scalar multiplication, Euclidean space.
9.Cartesian coordinates, orthogonality.
10.Distances, perturbations.
11.Isometries.
12.Classification of isometries in spaces of dimension 1 and 2.
13.Similarities.
14.Reserve.
2.Subspaces of the affine space, analytical formulation of the subspaces.
3.Mutual position of the subspaces.
4.Collinearity, linear systems of hyperplanes.
5.Affine transformations, affine transformaton of the affine space.
6.Classification of the affine transformations.
7.Classification for the line and the plane.
8.Vector spaces vith scalar multiplication, Euclidean space.
9.Cartesian coordinates, orthogonality.
10.Distances, perturbations.
11.Isometries.
12.Classification of isometries in spaces of dimension 1 and 2.
13.Similarities.
14.Reserve.