I'm doing an applied mathematics project on the math behind Basic Blackjack Strategy. I've looked all over (google, multiple academic databases, math specific websites, etc), and yet I can't seem to find anything that explains HOW basic strategy was developed, or that explains the statistics/probabilities behind the moves it tells you to make. Would someone mind explaining why these moves are optimal, or in lieu of that point me towards somewhere that does (preferably a source I can cite in my paper as well)?

Thanks in advance for the help