# Good books on Function fields for self-study

The first 7 chapters of the book Making Transcendence Transparent by Burger & Tubbs is very easy to read with not much prerequisite. But there is a sudden change of level of difficulty in the 8th (the last) chapter. The followings are the titles of materials:

So what are some of books that are suitable for self-study? I have limited background in algebra (just an undergraduate book).

All suggestions are welcome! Thank you!!

Edit: Looking more carefully into the chapters you mention, maybe the 4 chapters of Rosen should be enough - they seem to concern only number theory in $$k=F_q[t]$$ which (Its field of fractions) is the simplest function field. The next chapters in Rosen concern extensions of $$k$$, and so maybe won't be that related. Same goes to Stichtenoth. Maybe you should try to read it in parallel with the book you read now, and see what you actually need to learn.