Maths is vital to trading.
But not in the way most people think. Given that the market can and does do anything, maths has little or no relevance except in pricing options, derivatives or spreads etc. Maths applied to pure price is just adding another layer of personal beliefs. (Fibs etc)
According to Tharp "setups and entry each are about 10% of the equation, exits are about 30%, and position sizing is about 60%"
It is in position sizing that maths is critical to success. as they say is it all about how much or how many contract to use per trade. If you think about it, if trading is at best a 50/50 game (i know it is a negative game actually given commissions, tax etc) applying a constant number of contracts to each trade will at best lead to making no money over time. The secret is adding to the size of the bet when proved correct. So I start with a single unit bet, given I have no guarentee that the bet will be right (I am hopeful 'cause of analysis etc). If it proves wrong them my loss is a single unit. On the other hand if price action proves my annalysis correct I quickly increase bet size to capitalise on run. Hopefully the leverage correct bets more than outway my regular small losing bets.
That is were maths is critical to success- POSITION SIZING.