I am a business student with engineering background and I am studying papers published in some journals like Management Science, Operations Research, Math of OR and they use some notations and keywords which I think are related to Pure Math.
For example, many papers in the stochastic optimization topic, define probability based on measure theory while they may use conventional probability theory. Or, they use some terms like Hilbert space, etc. Can I know if these are really necessary or are used to make papers more complicated?
If these are really necessary, I would be thankful if you can suggest me some references to improve my background in any branch of Math which can be helpful from probability to calculus.