Foundations of Geometry
Course code
MLM6223.DT
old course code
MLM6223
Course title in Estonian
Geomeetria alused
Course title in English
Foundations of Geometry
ECTS credits
4.0
Assessment form
Examination
lecturer of 2024/2025 Autumn semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
lecturer of 2024/2025 Spring semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
Course aims
Core subject. To provide an overview of axiomatic geometry and different geometries.
Brief description of the course
Mathematical structure. Axiomatic construction of mathematical theory. Consistency and completeness of axiomatic theory. Independence of an axiom. Problem of the fifth postulate. Axiomatics of Weyl and Hilbert. Basics of non-Euclidean geometry. Parallel lines. Hyperbolic geometry. Hyperbolic and elliptic trigonometry. Volume and area in non-Euclidean geometry.
Learning outcomes in the course
Upon completing the course the student:
Knows mathematical facts and is able to use methods in volume of a subject.
Knows mathematical facts and is able to use methods in volume of a subject.
Teacher
prof Mart Abel
Prerequisite course 1
Study programmes containing that course