PřF:M3722 Non-Euclidean geometry - Course Information
M3722 Non-Euclidean geometry
Faculty of ScienceSpring 2009
- 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
- prof. RNDr. Josef Janyška, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Fri 8:00–9:50 01031
- 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
- Mathematics (programme PřF, M-MA)
- Upper Secondary School Teacher Training in Descriptive Geometry (programme PřF, M-MA)
- Upper Secondary School Teacher Training in Descriptive Geometry (programme PřF, M-SS)
- Upper Secondary School Teacher Training in Mathematics (programme PřF, N-MA)
- Upper Secondary School Teacher Training in Mathematics (programme PřF, N-SS)
- Course objectives
- The aim of the course is to introduce the basic notions and models of non-Euclidean geometries.
- 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
- COXETER, H. S. M. Introduction to geometry. 2nd ed. [New York]: John Wiley & Sons, 1989, xvi, 469. ISBN 0471504580. 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
- PAVLÍČEK, Jan B. Základy neeukleidovské geometrie Lobačevského. 1. vyd. Praha: Přírodovědecké vydavatelství, 1953, 221 s. URL info
- HLAVATÝ, Václav. Úvod do neeuklidovské geometrie. Vyd. 2. Praha: Jednota československých matematiků a fysiků, 1949, 227 s. URL info
- Teaching methods
- Lectures - 2 hours a week, homeworks.
- Assessment methods
- Oral examination.
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught once in two years. - Teacher's information
- https://is.muni.cz/auth/el/1431/jaro2009/M3722/op/index.html
- Enrolment Statistics (Spring 2009, recent)
- Permalink: https://is.muni.cz/course/sci/spring2009/M3722