MATH300 Geometry and Topology

This geometry part of this course includes an introductory course on projective geometry (using the linear algebra approach rather than the axiomatic one) and some chapters on symmetry.

The topology part of this course consists of geometric and combinatorial topology and includes material on the classification of surfaces, embedding graphs on surfaces, map colouring and knot theory. This latter topic includes material on the group of a knot, published here for the first time. A chapter is devoted to providing a background in abelian groups for those who have never studied group theory.