Syllabus
Historic development of geometry.Elements by Euclid. Axioms of the euclidean geometry.Elements of Geometry by Hilbert.Axiomatic development of geometry.The absolute geometry and its relation to non-euclidean geometries.Finite geometry.Projective extension of the real plane.
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. Non-Euclidean geometries, finite projective geometry and projective extension of the real plane will be described.