I am planning to take a graduate Geometry course next semester. The preliminary syllabus does not specify any textbook but has the following descriptions:
Catalog Course Description: This course studies higher geometry including triangulations of polygons, Voronoi diagrams and Delaunay triangulation, algorithms in computational geometry, Euler characteristic of geometric objects, conics, elements of differential geometry of curves.
Topics Covered: inequalities, Helly's theorem, power of a point, inversion, Voronoi diagrams and Delaunay triangulations, algorithms in computational geometry, Euler characteristic of geometric objects, conics and their affine and metric classification, elements of differential geometry of curves, polyhedra.
I would like to study early taking advantage of my downtime. Is there any textbook that you would like to recommend for my self study?
Thank you very much for your time and pointers.