M3722 Non-Euclidean geometry

Faculty of Science
Spring 2007
Extent and Intensity
2/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
doc. Mgr. Vojtěch Žádník, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Josef Janyška, DSc.
Timetable
Thu 18:00–19:50 U1
Prerequisites
Linear algebra and elementary projective geometry.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Basic notions and models of Non-Euclidean geometry.
Syllabus
  • 1. Classification of geometries. 2. Models of Euclidean and non-Euclidean geometries. 3. Elementary geometry of hyperbolic plane. 4. Hyperbolic and elliptic trigonometry. 5. Laguerre's formula with applications. 6. Transformations in non-Euclidean geometry.
Literature
  • EUKLEIDÉS. Eukleidovy Základy : Elementa. V Praze: Nákladem Jednoty českých mathematiků, 1907, 314 s. info
  • KUTUZOV, Boris Veniaminovič. Lobačevského geometrie a elementy základů geometrie. Translated by Rudolf Zelinka - Vlastimil Macháček. 1. vyd. Praha: Československá akademie věd, 1953, 167 s. URL info
  • HLAVATÝ, Václav. Úvod do neeuklidovské geometrie. Vyd. 2. Praha: Jednota československých matematiků a fysiků, 1949, 227 s. URL info
  • VYŠÍN, Jan. Geometrie pre pedagogické fakulty. Vyd. 2. Bratislava: Slovenské pedagogické nakladatel'stvo, 1970, 360 s. info
Language of instruction
Czech
Further Comments
Study Materials
The course is taught once in two years.
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2001, Spring 2002, Spring 2003, Spring 2005, Spring 2009, Spring 2011.
  • Enrolment Statistics (Spring 2007, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2007/M3722