[orbifold]

You can look at “QFT in a nutshell” by Zee, a highly recommended and pretty accessible book (to the degree a book on QFT can be accessible), for the computation of g for the electron to one loop order. That calculation can also be found in “Quantum field theory and the Standard Model” by Schwartz in Chapter 17 (p. 321). I’m not aware of a textbook exposition of the calculations relevant for the muon g.