The binomial model is common in textbooks because it's intuitively appealing, but if you only apply it to basic European (exercisable at expiry) options then there really are better ways of getting a closed form solution i.e. the Black-Scholes (or Bachelier-Thorp ....) formula.
If you want half decent pricing methods for more general cases then you'll end up with Finite difference or Monte-Carlo methods depending on dimensionality, at which point you've already given up on a closed form solution.
One of the reasons that TFA is so unintelligible is it's an academic treatment of half of the theory of a non-problem. (and as others have already pointed out - it has nothing to say about how the finance industry operates).