Written on 24.10.2023 15:22 by Christian Steinhart
If you are more interested in the topological point of view, I highly recommend the book from Farb&Margalit (we basically start there at Chapter 2).
Hubbard and Imayoshi&Taniguchi give a more analytical and quite thorough introduction to Teichmüller space and some examples.
In Hubbard you also find some exercises suitable for the lecture ;-)
In Ahlfors you find the more classical (also analytical) approach, but we will mostly follow the first three books.