Mathematical Spaces by Dr. Ali Sekmen
A mini course on real analysis (by Dr. Ali Sekmen) that gives an overview of spaces including Normed Vector Spaces, Inner Product Spaces, Banach Spaces, Hilbert Spaces, Metric Spaces, and Topological Spaces. It also introduces subspaces, principle angles between subspaces, union of subspaces, intersection of subspaces, disjoint subspaces, and independent subspaces.
You can find the PowerPoint slides at http://www.tnstate.edu/computer_scien...