Geometry III - NUMP017
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Last update: G_M (09.10.2001)
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Last update: T_KDM (19.05.2008)
This course helps to obtain theoretical background for teaching mathematics at high school. |
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Last update: Mgr. Dalibor Šmíd, Ph.D. (13.10.2017)
Oral examination with written preparation. |
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Last update: Mgr. Zdeněk Halas, DiS., Ph.D. (10.09.2016)
Brannan D., Esplen M., Gray J.: Geometry. 2nd ed. CUP, The Open University, 2012.
Sekanina M. a kol.: Geometrie II. SPN, Praha, 1988. |
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Last update: T_KDM (20.05.2008)
Lectures. |
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Last update: T_KDM (28.05.2003)
1. Projective space. Definition and basic properties, homogeneous coordinates, quadrics and their polar properties.
2. Projective extension of Euclidean plane and Euclidean space. Definition and basic properties, corresponding system of coordinates, affine and Euclidean properties of conics and quadrics. Basic types of quadrics and their properties, classificiation.
3. Axiomatic systems of geometry, models of non-Euclidean geometries. |