What are the necessary branches of mathematics that give players an edge vs others? Of course excluding rain men and geniuses who can just go into the matrix, what is some of the math that a lot of the top guys are using that can give them an edge? Also is the edge significant in the long run to justify learning the required mathematics?

The basic concepts I understand are all rough calculations due to the time constraint of playing a live poker game but really as far as math goes I use it in the following spots

Calculating pot odds
Calculating my outs
Getting a rough idea of equity (which almost seems like a fancy way to say pot odds)

Im no math genius by any stretch of the imagination but are people really sitting at the table trying to calculate their exact equity? Are they really sitting there counting possible combos in every scenario they are involved in a hand and using it to compare against there range and figure out bluffs vs value bets? If they are doing this what is the branches of mathematics they use to do this? Certainly knowing this stuff to an extent would be considered closer to ''GTO'' so I would imagine it being somewhat relevant

For the most part, the math needed is equivalent to introductory algebra and a first course in probability and statistics. I think I’ve used calculus perhaps 5 or less times in all the years I’ve been fooling with poker math. There are many free sites on the net to get one started.

Certainly knowing game theory and decision analysis can’t hurt as you get into more esoteric topics. I’ve found Excel extremely valuable and have written many programs some using its VBA programming language to do quick math analysis such determining critical card or fold equity for +EV. I have also used it for developing simulation programs for the many poker problems that defy analytical solution although there are probably much better languages to use for simulation.

With experience and a lot of studying of hands you played employing such tools as Equilab, you will be able to do a lot of math while playing, not getting exact solutions, but usually close enough: just how exact are your estimates of villain's range or his folding propensity?

Of course, the math is, in my opinion, about 1/3 of the solution, the rest being logic (why did he just check after that big flop raise?) and psychology (why are his hands shaking?).

In my opinion the control of numbers in poker is a part of technical skill, so very important. I thought the proportion of mathemathical part in poker is bigger, maybe 50% math, 50% mindset.

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