Course textbooks
For Math 8302, there is one assigned course textbook:
- Introduction to smooth manifolds, by John M. Lee.
This textbook covers the majority of the material that will be discussed in class.
However, there will be a nontrivial amount of material covered that does not come from these texts. Moreover, it is often beneficial to get several perspectives on the same material.
The following additional textbooks are placed on reserve in the math library:
- Topology from the differentiable viewpoint, by John Milnor. This is a relatively concise (and highly influential) set of notes on differential topology.
- Lectures on algebraic topology, by Albrecht Dold. This is a slightly more difficult, but also very careful, text covering much of what is in Hatcher's textbook, but also includes some very good material on manifolds.