Hi, for my final year project I'm exploring a fast growing function and need to do some research around the topic. In particular, I need to focus on: fast growing functions, Ackermann's functions, recursive vs primitive functions, Godel's incompleteness theorem, Goodstein sequences, busy beaver function, etc. I was wondering if anyone could recommend some good books that I could use or somewhere I could look for the information. I'm struggling to find anything really useful as I haven't got much experience with research.

Many thanks

Steph