Why Vector Bundles
Vector bundles are important mathematical objects arising in geometry and topology and include the Mobius band and tangent bundles as examples. In this video, we give an informal introduction to the topic aimed at giving a feel as to what these objects are in the topological case, and how how they help us understand topology.
There aren't many good references for the material in this playlist. Most treatments are much more advanced. These include Atiyah's "K-theory".