Geometry

Geometry
230-0541/02
angličtina Geometry
230-0541/01
čeština

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,
.

Advised literature

Jennings, G.A.: Modern Geometry with Applications, Springer-Verlag, New York,
1994, .

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Language of instruction	angličtina, čeština
Code	230-0541
Abbreviation	G
Course title	Geometry
Coordinating department	Department of Mathematics
Course coordinator	RNDr. Jana Volná, Ph.D.