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Geometry

Geometry
714-0441/01
čeština Geometry
714-0441/02
angličtina Geometry
714-0441/03
čeština Geometry
714-0441/04
angličtina

Summary

Vector spaces. Orientation, spaces with scalar multiplication. Vector multiplication, orthogonal transformations. Affine spaces. Affine coordinates, relations between linear subspaces. Linear systems of hyperplanes.
Affine transformations, classification of affine transformations in spaces of dimension 2 and 3. Euclidean spaces. Cartesian coordinates, Euclidean metrics, orthogonality. Isometric transformations. Classification of isometries in spaces of dimension 1 and 2. Similarities.

Literature

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

Advised literature

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


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Language of instruction čeština, angličtina, čeština, angličtina
Code 714-0441
Abbreviation G
Course title Geometry
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator RNDr. Jana Volná, Ph.D.