How to study systematically the mathematical analysis?
Studying some of the materials associated with AI and machine learning - all the time faced with the fact that you have to podkidyvat calculus, numerical methods, discrete mathematics, decision-making methods, linear algebra, optimization methods, probability theory. But I'm doing it all piecewise, a knowledge of how it turned out - not in vain after the times of uni, but since then, it has evolved and understand how to systematize their knowledge on these subjects.
Maybe someone can advise how to sort through, and in what order, what topics are worth exploring in order to be guided in this field? And does it make sense? I often hear the opinion that there is nothing wrong to use some algorithms without understanding that actually they do, but my approach is always depressing, I am unable to agree with him so far.
I believe the order in which they studied mathematics in the University, is not even bad.
The first two courses, all of General mathematics, ranging from the ruler and Mat finishing of complex analysis, world Cup. Then, depending on the task pane, looking for specifics. In my experience I would say that a full understanding of 1 and 2 courses make it easy to continue the study of everything in all directions