Course No
M475
Credit
4
Approval
Syllabus
Definitions and Exampleas, projective planes, affine planes, projective spaces, affine spaces, collineations of projective and affine spaces, fundamental theorem of projective and affine spaces, polar spaces, generalized quadrangles, quadrics and quadratic sets.
Reference Books
- J. Ueberberg, “Foundations of Incidence Geometry”, Springer Monographs in Mathematics, Springer, 2011.
- L. M. Batten, “Combinatorics of Finite Geometries”, Cambridge University Press, 1997.
- E. E. Shult, “Points and Lines”, Universitext, Springer, 2011.
- L. M. Batten, A. Beutelspacher, “The Theory of Finite Linear Spaces: Combinatorics of points and lines”, Cambridge University Press, 1993
- G. E. Moorhouse, “Incidence Geometry”, 2007, available online from http://www.uwyo.edu/moorhouse/handouts/incidence geometry.pdf