Finite Geometry III
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Projective geometry is one of the important modern geometries introduced in the 19th century. Projective geometry is more general than our usual Euclidean geometry, and it has useful applications in Information Security, Statistics, Computer Graphics and Computer Vision. The focus of this course will be primarily on projective planes.
This course will be taught every second year.
To provide an introduction to the areas of Projective Geometry At the end of this course students should: understand the ideas in projective geometry, and how projective geometry relates to Euclidean geometry; understand fields and how they can be used to construct projective planes; have enough tools to study objects and transformations in projective planes corresponding to fields.
Topics covered are: projective planes, homogeneous coordinates, fields, field planes, collineations of projective planes, conics in field planes, projective geometry of general dimension.