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Axiomatic development of geometry

Class at Faculty of Education |
OIMM1M124A

Syllabus

Historic development of geometry.

Elements by Euclid. Axioms of the euclidean geometry.

Elements of Geometry by Hilbert.

Aximatic development of geometry.

The absolute geometry and its relation to non-euclidean geometries.

Finite geometry.Groups of geometric transformations.

Annotation

The content of the subject is focused on the axiomatic development of geometry as the mathematical theory with the aim to better understand geometrization of the real world.