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Advanced lectures on geometry - NMUG503

Title:	Vybrané kapitoly z geometrie
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2021
Semester:	winter
E-Credits:	2
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. RNDr. Zbyněk Šír, Ph.D.
Incompatibility :	NMTD503
Interchangeability :	NMTD503
Is incompatible with:	NMTD503
Is interchangeable with:	NMTD503

Opinion survey results Examination dates WS schedule Noticeboard

Annotation -

Last update: RNDr. Jakub Staněk, Ph.D. (17.06.2019)

This class is devoted to some advanced topic from the euclidean, non-euclidean, algebraic and differential geometry. It is thought once every two years

Course completion requirements -

Last update: doc. RNDr. Zbyněk Šír, Ph.D. (11.06.2019)

The exam will be oral and will be based on a presentation by the student on a given topic.

Literature -

Last update: doc. RNDr. Zbyněk Šír, Ph.D. (15.06.2019)

Borceux, F.: An Axiomatic Approach to Geometry: Geometric Trilogy I. Springer, 2013.

Borceux, F.: An Algebraic Approach to Geometry: Geometric Trilogy II. Springer, 2013.

Borceux, F.: A Differential Approach to Geometry: Geometric Trilogy III. Springer, 2013.

Syllabus -

Last update: doc. RNDr. Zbyněk Šír, Ph.D. (15.06.2019)

Axiomatisation of geometry.

Euclid Elements and Hilbert axiomatics.

Constructions of the Descriptive geometry and its relations to the projective geometry.