I've been a programmer for a good while now. Fairly experienced at a bit of math as far as coming up with algorithms and such but I am far far behind on understanding quite a deal of notation.
Here and there I run into an issue where someone will notify me that I've reinvented some piece of calculus, trig or some other fields. Occasionally this makes for some interesting code and all, but I've begun to think that I could very often avoid this by being able to read and write standard notation more fluently.
When it comes to this area, I'm honestly a complete newb. Are there any good introductions or resources that can help get me on a clear path to understanding?
I have some concept on simple functions, but not much. Tendency in study has been that I'll find myself too deep in something too complicated too quickly and forget everything.
- For instance, to borrow from another open bounty at this time, I cannot read the following:
$\sum_{n=-\infty}^\infty J_n(x) J_{n+m}(x) = \delta(m)$
My mind is stuck in code, help me out of my cave! :)