Geometry - MX4549
Examples of exam problems.
The first aim of the course is to understand the mathematical
concept of curvature. We will do it, first by studying the geometry
of plygonal surfaces, and then by looking at smooth surfaces in
the Euclidean space. Finally we should arrive at the concept
of an abstract surface. The second aim is to present a generalisation
of these ideas to higher dimensions and provide examples of applications
in modern physics.
Lecture notes
-- last update April 24.
Lectures:
Monday....09:15--11:00 New King's 2
Tutorial:
Tuesday....10:00--11:00 New King's 15
Reading:
The course is partly based on the books 'Metric spaces of non-positive curvature'
by M. Bridson and A. Haefliger and 'A course in differential geometry' by W. Klingenberg.
Reading wikipedia articles can be also helpful.
Wikipedia:
Metric space
,
Geodesic
,
Angle
,...