For non-Brits, "The Newtonian Casino" is probably more commonly known as "The Eudaemonic Pie". It's about a group in the 70s using electronic devices to clock roulette wheels to predict the general area of the wheel the ball would fall into and make better bets.
An earlier attempt by Thorp (of "Beat the Dealer", probably the most famous blackjack counting book) and Claude Shannon (yes, that Claude Shannon) is covered in part of the book "Fortune's Formula".