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Ukončeno v akademickém roce 2019/2020

Geometry

Type of study Follow-up Master
Language of instruction English
Code 714-0441/02
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.

Povinná literatura

Holme, A.: Geometry. Springer – Verlag, Berlin, Heidelberg, New York, 2002,
ISBN 3-540-41949-7 .

Doporučená literatura

Jennings, G.A.: Modern Geometry with Applications, Springer-Verlag, New York,
1994, ISBN 0-387-94222-X .