There are numerous versions of how lift is generated - Bernoulli, Newton and Glauert to name just three.
Good news is that they're all right.
Bad news is that they're all wrong.
Bottom line is that they all are specific explanations to serve particular functions. In the right context, each is perfectly correct - but the people who go about saying that Bernoulli is wrong are technically correct - albeit also usually irritatingly unhelpful.
Bernoulli is I think universally used in pilot training, and there's little about it that will lead you astray from a pilots viewpoint. If however you want a more detailed version and to learn about some of the other methods, I'd suggest either Kermode's "Mechanics of Flight" or Houghton's "Aerodynamics for Engineering Students". Any good University should carry both in the bookshop.
G
(Genghis' definition of a good University - one which offers a dedicated aeronautics degree. That excludes Oxford and Cambridge.)